ERef Bayreuth

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Institutionen der Universität Bayreuth
Lehrstuhl Angewandte Mathematik

Universität Bayreuth (59405)
- Fakultäten (55779)
  - Fakultät für Mathematik, Physik und Informatik (8710)
    - Mathematisches Institut (3468)
      - Lehrstuhl Angewandte Mathematik (167)
        Lehrstuhl Angewandte Mathematik - Univ.-Prof. Dr. Anton Schiela (76)

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Springe zu: 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2000

Anzahl der Einträge auf dieser Ebene: 167.

2024

Schießl, Jonas ; Baumann, Michael Heinrich ; Faulwasser, Timm ; Grüne, Lars:
On the relationship between stochastic turnpike and dissipativity notions.
In: IEEE Transactions on Automatic Control. (23 November 2024) .
DOI: https://doi.org/10.1109/TAC.2024.3504352

Schiller, Julian D. ; Grüne, Lars ; Müller, Matthias A.:
Optimal state estimation : Turnpike analysis and performance results.
Bayreuth ; Hannover , 2024 . - 8 S.
DOI: https://doi.org/10.48550/arXiv.2409.14873

Sperl, Mario ; Mysliwitz, Jonas ; Grüne, Lars:
Approximation of Separable Control Lyapunov Functions with Neural Networks.
Bayreuth , 2024 . - 11 S.
DOI: https://doi.org/10.15495/EPub_UBT_00007857

Bold, Lea ; Grüne, Lars ; Schaller, Manuel ; Worthmann, Karl:
Data-driven MPC with stability guarantees using extended dynamic mode decomposition.
In: IEEE Transactions on Automatic Control. Bd. Online First (Juli 2024) . - S. 1-8.
DOI: https://doi.org/10.1109/TAC.2024.3431169

Weigl, Laura ; Schiela, Anton:
Newton's method for nonlinear mappings into vector bundles.
Bayreuth , 2024 . - 31 S.
DOI: https://doi.org/10.48550/arXiv.2404.04073

Köhne, Frederik ; Philipp, Friedrich M. ; Schaller, Manuel ; Schiela, Anton ; Worthmann, Karl:
L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition.
Ilmenau ; Bayreuth , 2024 . - 21 S.
DOI: https://doi.org/10.48550/arXiv.2403.18809

Schießl, Jonas ; Ou, Ruchuan ; Faulwasser, Timm ; Baumann, Michael Heinrich ; Grüne, Lars:
Near-optimal performance of stochastic economic MPC.
Bayreuth , 2024 . - 7 S.
DOI: https://doi.org/10.48550/arXiv.2403.15159

Angeli, David ; Grüne, Lars:
Dissipativity in infinite horizon optimal control and dynamic programming.
In: Applied Mathematics and Optimization. Bd. 89 (2024) . - 42.
DOI: https://doi.org/10.1007/s00245-024-10103-y

Pioch, Kilian ; Kriecherbauer, Thomas ; Margaliot, Michael ; Grüne, Lars:
Model order reduction for the TASEP Master equation.
In: IFAC-PapersOnLine. Bd. 58 (2024) Heft 17 . - S. 109-114.
DOI: https://doi.org/10.1016/j.ifacol.2024.10.122

Sproll, Tobias:
Numerical Identification of Motor Units in Muscle Tissue from High Resolution EMG Data.
Bayreuth , 2024 . - VIII, 103 S.
( Dissertation, 2024 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007473

Katz, Rami ; Kriecherbauer, Thomas ; Grüne, Lars ; Margaliot, Michael:
On the gain of entrainment in a class of weakly contractive bilinear control systems.
In: SIAM Journal on Control and Optimization. Bd. 62 (2024) Heft 5 . - S. 2723-2749.
DOI: https://doi.org/10.1137/23M1585714

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Semmler, Willi ; Weller, Steven R.:
On the social cost of carbon and discounting in the DICE model.
In: AIMS Environmental Science. Bd. 11 (2024) Heft 3 . - S. 471-495.
DOI: https://doi.org/10.3934/environsci.2024024

2023

Schießl, Jonas ; Ou, Ruchuan ; Faulwasser, Timm ; Baumann, Michael Heinrich ; Grüne, Lars:
Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems.
In: 2023 62nd IEEE Conference on Decision and Control (CDC). - Singapore, Singapore , 2023 . - S. 2790-2795
DOI: https://doi.org/10.1109/CDC49753.2023.10384081

Sperl, Mario ; Saluzzi, Luca ; Grüne, Lars ; Kalise, Dante:
Separable approximations of optimal value functions under a decaying sensitivity assumption.
In: 62nd IEEE Conference on Decision and Control (CDC) 2023. - Singapore, Singapore , 2023 . - S. 259-264
DOI: https://doi.org/10.1109/CDC49753.2023.10383497

Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton ; Herzog, Roland:
Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent.
Bayreuth ; Heidelberg , 2023 . - 31 S.
DOI: https://doi.org/10.48550/arXiv.2311.16956

Herzog, Roland ; Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton:
Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training.
Bayreuth ; Heidelberg , 2023 . - 14 S.
DOI: https://doi.org/10.48550/arXiv.2311.15419

Ou, Ruchuan ; Schießl, Jonas ; Baumann, Michael Heinrich ; Grüne, Lars ; Faulwasser, Timm:
A Polynomial Chaos Approach to Stochastic LQ Optimal Control: Error Bounds and Infinite-Horizon Results.
Dortmund ; Bayreuth , 2023
DOI: https://doi.org/10.48550/arXiv.2311.17596

Herberg, Evelyn ; Herzog, Roland ; Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton:
Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks.
Bayreuth ; Heidelberg , 2023 . - 15 S.
DOI: https://doi.org/10.48550/arXiv.2311.15995

Schießl, Jonas ; Ou, Ruchuan ; Faulwasser, Timm ; Baumann, Michael Heinrich ; Grüne, Lars:
Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control.
Bayreuth , 2023
DOI: https://doi.org/10.48550/arXiv.2309.05422

Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Inexact Proximal Newton methods in Hilbert spaces.
In: Computational Optimization and Applications. (16 August 2023) . - S. 1-37.

Sproll, Tobias ; Schiela, Anton:
Numerical Solution of an Identifcation Problem in Electromyography.
Bayreuth , 2023 . - 21 S.

Herberg, Evelyn ; Herzog, Roland ; Köhne, Frederik:
Time Regularization in Optimal Time Variable Learning.
Heidelberg , 2023 . - 9 S.
DOI: https://doi.org/10.48550/arXiv.2306.16111

Baumann, Michael Heinrich:
How Useful is Statistical Skewness of Financial Data in Decision Making?
Bayreuth , 2023 . - 18 S.
DOI: https://doi.org/10.15495/EPub_UBT_00006960

Ernst, Andreas ; Grüne, Lars ; Rieger, Janosch:
A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems.
In: Journal of Global Optimization. Bd. 86 (2023) . - S. 521-543.
DOI: https://doi.org/10.1007/s10898-022-01261-w

Eichfelder, Gabriele ; Grüne, Lars ; Krügel, Lisa ; Schießl, Jonas:
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC.
In: Computational Optimization and Applications. Bd. 86 (2023) . - S. 1081-1116.
DOI: https://doi.org/10.1007/s10589-022-00398-4

Köhler, Johannes ; Zeilinger, Melanie ; Grüne, Lars:
Stability and performance analysis of NMPC : Detectable stage costs and general terminal costs.
In: IEEE Transactions on Automatic Control. Bd. 68 (2023) Heft 10 . - S. 6114-6129.
DOI: https://doi.org/10.1109/TAC.2023.3235244

Grüne, Lars ; Sperl, Mario:
Examples for separable control Lyapunov functions and their neural network approximation.
In: IFAC-PapersOnLine. Bd. 56 (2023) Heft 1 . - S. 19-24.
DOI: https://doi.org/10.1016/j.ifacol.2023.02.004

Pötzl, Bastian:
Inexact Proximal Newton Methods for Finite Strain Plasticity.
Bayreuth , 2023 . - X, 215 S.
( Dissertation, 2023 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007159

Krügel, Lisa ; Faulwasser, Timm ; Grüne, Lars:
Local Turnpike Properties in Finite Horizon Optimal Control.
In: 62nd IEEE Conference on Decision and Control (CDC) 2023. - Singapore , 2023 . - S. 5273-5278
DOI: https://doi.org/10.1109/CDC49753.2023.10383850

Ofir, Ron ; Kriecherbauer, Thomas ; Grüne, Lars ; Margaliot, Michael:
On the gain of entrainment in the n-dimensional ribosome flow model.
In: Interface : Journal of the Royal Society. Bd. 20 (2023) Heft 199 . - 20220763.
DOI: https://doi.org/10.1098/rsif.2022.0763

Köhler, Matthias ; Krügel, Lisa ; Grüne, Lars ; Müller, Matthias A. ; Allgöwer, Frank:
Transient Performance of MPC for Tracking.
In: IEEE Control Systems Letters. Bd. 7 (2023) . - S. 2545-2550.
DOI: https://doi.org/10.1109/LCSYS.2023.3287798

2022

Grüne, Lars:
Dissipativity and optimal control : Examining the Turnpike Phenomenon.
In: IEEE Control Systems Magazine. Bd. 42 (2022) Heft 2 . - S. 74-87.
DOI: https://doi.org/10.1109/MCS.2021.3139724

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Efficient Model Predictive Control for parabolic PDEs with goal oriented error estimation.
In: SIAM Journal on Scientific Computing. Bd. 44 (2022) Heft 1 . - A471-A500.
DOI: https://doi.org/10.1137/20M1356324

Grüne, Lars ; Meurer, Thomas:
Finite-dimensional output stabilization for a class of linear distributed parameter systems : A small-gain approach.
In: Systems & Control Letters. Bd. 164 (2022) . - 105237.
DOI: https://doi.org/10.1016/j.sysconle.2022.105237

Faulwasser, Timm ; Grüne, Lars ; Humaloja, Jukka-Pekka ; Schaller, Manuel:
The interval turnpike property for adjoints.
In: Pure and Applied Functional Analysis. Bd. 7 (2022) Heft 4 . - S. 1187-1207.

Grüne, Lars ; Krügel, Lisa ; Müller, Matthias A.:
Multiobjective strict dissipativity via a weighted sum approach.
In: Systems & Control Letters. Bd. 170 (2022) . - 105396.
DOI: https://doi.org/10.1016/j.sysconle.2022.105396

Andrej, Julian ; Grüne, Lars ; Mechelli, Luca ; Meurer, Thomas ; Pirkelmann, Simon ; Volkwein, Stefan:
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation.
In: Computers & Mathematics with Applications. Bd. 116 (2022) . - S. 71-81.
DOI: https://doi.org/10.1016/j.camwa.2021.09.004

Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Second order semi-smooth proximal Newton methods in Hilbert spaces.
In: Computational Optimization and Applications. Bd. 82 (2022) . - S. 465-498.
DOI: https://doi.org/10.1007/s10589-022-00369-9

Grüne, Lars ; Philipp, Friedrich ; Schaller, Manuel:
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions.
In: IFAC-PapersOnLine. Bd. 55 (2022) Heft 30 . - S. 311-316.
DOI: https://doi.org/10.1016/j.ifacol.2022.11.071

Extended Abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022 : held 12-16 September 2022 in Bayreuth, Germany.
Hrsg.: Baumann, Michael Heinrich ; Grüne, Lars ; Jacob, Birgit ; Worthmann, Karl . 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022
Bayreuth , 2022 . - 815 S.
DOI: https://doi.org/10.15495/EPub_UBT_00006809

2021

Schaller, Manuel:
Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control.
Bayreuth , 2021 . - IX, 185 S.
( Dissertation, 2021 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005538

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs.
In: ESAIM : Control, Optimisation and Calculus of Variations. Bd. 27 (2021) . - 56.
DOI: https://doi.org/10.1051/cocv/2021030

Sproll, Tobias ; Schiela, Anton:
An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions.
In: Inverse Problems. Bd. 37 (2021) Heft 12 . - 125012.
DOI: https://doi.org/10.1088/1361-6420/ac362c

Wu, Chengshuai ; Grüne, Lars ; Kriecherbauer, Thomas ; Margaliot, Michael:
Behavior of totally positive differential systems near a periodic solution.
In: Proceedings of the 2021 IEEE Conference on Decision and Control (CDC). - Austin, Texas, USA , 2021 . - S. 3160-3165
DOI: https://doi.org/10.1109/CDC45484.2021.9683061

Grüne, Lars:
Computing Lyapunov functions using deep neural networks.
In: Journal of Computational Dynamics. Bd. 8 (2021) Heft 2 . - S. 131-152.
DOI: https://doi.org/10.3934/jcd.2021006

Grüne, Lars ; Muff, David ; Schaller, Manuel:
Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems.
In: IFAC-PapersOnLine. Bd. 54 (2021) Heft 19 . - S. 302-306.
DOI: https://doi.org/10.1016/j.ifacol.2021.11.094

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
(In-)Stability of Differential Inclusions : Notions, Equivalences, and Lyapunov-like Characterizations.
Cham : Springer , 2021 . - IX, 116 S. - (Springer Briefs in Mathematics )
DOI: https://doi.org/10.1007/978-3-030-76317-6

Faulwasser, Timm ; Grüne, Lars ; Humaloja, Jukka-Pekka ; Schaller, Manuel:
Inferring the adjoint turnpike property from the primal turnpike property.
In: Proceedings of the 2021 IEEE Conference on Decision and Control (CDC). - Austin, Texas, USA , 2021 . - S. 2578-2583
DOI: https://doi.org/10.1109/CDC45484.2021.9683079

Grüne, Lars ; Krügel, Lisa:
Local turnpike analysis using local dissipativity for discrete time discounted optimal control.
In: Applied Mathematics and Optimization. Bd. 84 (2021) Heft Suppl. 2 . - S. 1585-1606.
DOI: https://doi.org/10.1007/s00245-021-09805-4

Grüne, Lars ; Guglielmi, Roberto:
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems.
In: Mathematical Control and Related Fields. Bd. 11 (2021) Heft 1 . - S. 169-188.
DOI: https://doi.org/10.3934/mcrf.2020032

Grüne, Lars:
Overcoming the curse of dimensionality for approximating Lyapunov functions with deep neural networks under a small-gain condition.
In: IFAC-PapersOnLine. Bd. 54 (2021) Heft 9 . - S. 317-322.
DOI: https://doi.org/10.1016/j.ifacol.2021.06.152

Grüne, Lars ; Mechelli, Luca ; Pirkelmann, Simon ; Volkwein, Stefan:
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations.
In: Mathematical Control and Related Fields. Bd. 11 (2021) Heft 3 . - S. 579-599.
DOI: https://doi.org/10.3934/mcrf.2021013

Grüne, Lars ; Kriecherbauer, Thomas ; Margaliot, Michael:
Random attraction in the TASEP model.
In: SIAM Journal on Applied Dynamical Systems. Bd. 20 (2021) Heft 1 . - S. 65-93.
DOI: https://doi.org/10.1137/20M131446X

Rez.:

AMS MatSciNet

Fleig, Arthur ; Grüne, Lars:
Strict dissipativity analysis for classes of optimal control problems involving probability density functions.
In: Mathematical Control and Related Fields. Bd. 11 (2021) Heft 4 . - S. 935-964.
DOI: https://doi.org/10.3934/mcrf.2020053

Grüne, Lars ; Müller, Matthias A. ; Kellett, Christopher M. ; Weller, Steven R.:
Strict dissipativity for discrete time discounted optimal control problems.
In: Mathematical Control and Related Fields. Bd. 11 (2021) Heft 4 . - S. 771-796.
DOI: https://doi.org/10.3934/mcrf.2020046

Yegorov, Ivan ; Dower, Peter M. ; Grüne, Lars:
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control. Part I: Theory.
In: Optimal Control Applications and Methods. Bd. 42 (2021) Heft 5 . - S. 1385-1409.
DOI: https://doi.org/10.1002/oca.2732

Yegorov, Ivan ; Dower, Peter M. ; Grüne, Lars:
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control. Part II: Numerical approach.
In: Optimal Control Applications and Methods. Bd. 42 (2021) Heft 5 . - S. 1410-1440.
DOI: https://doi.org/10.1002/oca.2733

Grüne, Lars ; Morris, Kirsten Anna:
Mini-Workshop : Analysis of Data-driven Optimal Control.
In: Oberwolfach Reports. Bd. 18 (2021) Heft 2 . - S. 1209-1257.
DOI: https://doi.org/10.4171/OWR/2021/23

2020

Ortiz, Julián:
Constrained Optimization on Manifolds.
Bayreuth , 2020 . - IX, 193 S.
( Dissertation, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005186

Siegl, Alexander:
Iterative Löser zur Schrittberechnung in einer Composite-Step Methode.
Bayreuth , 2020 . - ii, 64 S.
(Masterarbeit, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Mathematisches Institut)

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity analysis for Model Predictive Control of PDEs.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 S.

Grüne, Lars:
Why does strict dissipativity help in model predictive control?
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 S.

Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Wirth, Fabian:
Control of discrete-time nonlinear systems via finite-step control Lyapunov functions.
In: Systems & Control Letters. Bd. 138 (2020) . - 104631.
DOI: https://doi.org/10.1016/j.sysconle.2020.104631

Grüne, Lars ; Pirkelmann, Simon:
Economic Model Predictive Control for Time-Varying System : Performance and Stability Results.
In: Optimal Control Applications and Methods. Bd. 41 (2020) Heft 1 . - S. 42-64.
DOI: https://doi.org/10.1002/oca.2492

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations.
In: Journal of Differential Equations. Bd. 268 (2020) Heft 12 . - S. 7311-7341.
DOI: https://doi.org/10.1016/j.jde.2019.11.064

Grüne, Lars ; Junge, Oliver:
From Bellman to Dijkstra : Set oriented construction of globally optimal controllers.
In: Junge, Oliver ; Schütze, Oliver ; Froyland, Gary ; Ober-Blöbaum, Sina ; Padberg-Gehle, Kathrin (Hrsg.): Advances in dynamics, optimization and computation : a volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. - Cham : Springer, 2020 . - S. 265-294 . - (Studies in Systems, Decision and Control ; 304 )
DOI: https://doi.org/10.1007/978-3-030-51264-4_11

Coron, Jean-Michel ; Grüne, Lars ; Worthmann, Karl:
Model predictive control, cost controllability, and homogeneity.
In: SIAM Journal on Control and Optimization. Bd. 58 (2020) Heft 5 . - S. 2979-2996.
DOI: https://doi.org/10.1137/19M1265995

Banholzer, Stefan ; Fabrini, Giulia ; Grüne, Lars ; Volkwein, Stefan:
Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation.
In: Mathematics. Bd. 8 (2020) Heft 5 . - 777.
DOI: https://doi.org/10.3390/math8050777

Borzì, Alfio ; Grüne, Lars:
Towards a solution of mean-field control problems using model predictive control.
In: IFAC-PapersOnLine. Bd. 53 (2020) Heft 2 . - S. 4973-4978.
DOI: https://doi.org/10.1016/j.ifacol.2020.12.1086

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Towards price-based predictive control of a small scale electricity network.
In: International Journal of Control. Bd. 93 (2020) Heft 1 . - S. 40-61.
DOI: https://doi.org/10.1080/00207179.2017.1339329

2019

Tanwani, Aneel ; Chatterjee, Debasish ; Grüne, Lars:
Performance bounds for stochastic receding horizon control with randomly sampled measurements.
In: Proceedings of the 2019 IEEE Conference on Decision and Control (CDC). - Nice, France , 2019 . - S. 2330-2335
DOI: https://doi.org/10.1109/CDC40024.2019.9029947

Schiela, Anton ; Stöcklein, Matthias:
Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain.
Bayreuth , 2019 . - 21 S.

Ortiz, Julián ; Schiela, Anton:
A composite step method for equality constrained optimization on manifolds.
Bayreuth , 2019 . - 27 S.

Schiela, Anton ; Ortiz, Julián:
Second order directional shape derivatives.
Bayreuth , 2019 . - 25 S.

Pirkelmann, Simon ; Angeli, David ; Grüne, Lars:
Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques.
In: IFAC-PapersOnLine. Bd. 52 (2019) Heft 16 . - S. 508-513.
DOI: https://doi.org/10.1016/j.ifacol.2019.12.012

Kellett, Christopher M. ; Weller, Steven R. ; Faulwasser, Timm ; Grüne, Lars ; Semmler, Willi:
Feedback, dynamics, and optimal control in climate economics.
In: Annual Reviews in Control. Bd. 47 (2019) . - S. 7-20.
DOI: https://doi.org/10.1016/j.arcontrol.2019.04.003

Hans, Christian A. ; Braun, Philipp ; Raisch, Jörg ; Grüne, Lars ; Reincke-Collon, Carsten:
Hierarchical distributed model predictive control of interconnected microgrids.
In: IEEE Transactions on Sustainable Energy. Bd. 10 (2019) Heft 1 . - S. 407-416.
DOI: https://doi.org/10.1109/TSTE.2018.2802922

Grüne, Lars ; Stieler, Marleen:
Multiobjective Model Predictive Control for Stabilizing Cost Criteria.
In: Discrete and Continuous Dynamical Systems. Series B. Bd. 24 (2019) Heft 8 . - S. 3905-3928.
DOI: https://doi.org/10.3934/dcdsb.2018336

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation.
In: IFAC-PapersOnLine. Bd. 52 (2019) Heft 16 . - S. 370-375.
DOI: https://doi.org/10.1016/j.ifacol.2019.11.808

Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
In: IFAC-PapersOnLine. Bd. 52 (2019) Heft 2 . - S. 7-12.
DOI: https://doi.org/10.1016/j.ifacol.2019.08.002

Fleig, Arthur ; Grüne, Lars:
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process.
In: IFAC-PapersOnLine. Bd. 52 (2019) Heft 2 . - S. 13-18.
DOI: https://doi.org/10.1016/j.ifacol.2019.08.003

Müller, Georg:
Optimal control of time-discretized contact problems.
Bayreuth , 2019 . - x, 213 S.
( Dissertation, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00004379

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control.
In: SIAM Journal on Control and Optimization. Bd. 57 (2019) Heft 4 . - S. 2753-2774.
DOI: https://doi.org/10.1137/18M1223083

2018

Schaller, Manuel ; Schiela, Anton ; Stöcklein, Matthias:
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.
Bayreuth , 2018 . - 29 S.

Schiela, Anton ; Stöcklein, Matthias:
Optimal Control of Static Contact in Finite Strain Elasticity.
Bayreuth , 2018 . - 28 S.

Yegorov, Ivan ; Dower, Peter ; Grüne, Lars:
A characteristics based curse-of-dimensionality-free approach for approximating control Lyapunov functions and feedback stabilization.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - S. 342-349

Grüne, Lars ; Dower, Peter:
Hamiltonian based a posteriori error estimation for Hamilton-Jacobi-Bellman equations.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - S. 372-374

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity analysis of optimal control motivated by model predictive control.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - S. 93-96

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Complete Instability of Differential Inclusions using Lyapunov Methods.
In: 2018 IEEE Conference on Decision and Control (CDC). Tagungsband. - Miami Beach, Florida , 2018 . - S. 718-724
DOI: https://doi.org/10.1109/CDC.2018.8618663

Braun, Philipp ; Sauerteig, Philipp ; Worthmann, Karl:
Distributed optimization based control on the example of microgrids.
Newcastle, Australia ; Ilmenau, Germany , 2018 . - 28 S.

Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
In: Foundations and Trends® in Systems and Control. Bd. 5 (2018) Heft 1 . - S. 1-98.
DOI: https://doi.org/10.1561/2600000014

Margaliot, Michael ; Grüne, Lars ; Kriecherbauer, Thomas:
Entrainment in the Master Equation.
In: Royal Society Open Science. Bd. 5 (2018) Heft 4 . - 172157.
DOI: https://doi.org/10.1098/rsos.172157

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Hierarchical distributed ADMM for predictive control with applications in power networks.
In: IFAC Journal of Systems and Control. Bd. 3 (2018) . - S. 10-22.
DOI: https://doi.org/10.1016/j.ifacsc.2018.01.001

Fleig, Arthur ; Grüne, Lars:
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation.
In: Vietnam Journal of Mathematics. Bd. 46 (2018) . - S. 915-948.
DOI: https://doi.org/10.1007/s10013-018-0309-8

Deutschen, Thomas ; Gasser, Sophie ; Schaller, Manuel ; Siehr, Jochen:
Modeling the self-discharge by voltage decay of a NMC/graphite lithium-ion cell.
In: Journal of Energy Storage. Bd. 19 (2018) . - S. 113-119.
DOI: https://doi.org/10.1016/j.est.2018.07.003

Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Rüffer, Björn ; Wirth, Fabian:
Non-conservative discrete-time ISS small-gain conditions for closed sets.
In: IEEE Transactions on Automatic Control. Bd. 63 (2018) Heft 5 . - S. 1231-1242.
DOI: https://doi.org/10.1109/TAC.2017.2735194

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control for Affine-Quadratic Games.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 18 (2018) Heft 1 . - e201800036.
DOI: https://doi.org/10.1002/pamm.201800036

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical construction of nonsmooth control Lyapunov functions.
In: Giselsson, Pontus ; Rantzer, Anders (Hrsg.): Large-Scale and Distributed Optimization. - Cham : Springer, 2018 . - S. 343-373 . - (Lecture Notes in Mathematics ; 2227 )
DOI: https://doi.org/10.1007/978-3-319-97478-1_12

Rez.:

Sproll, Tobias ; Schiela, Anton ; Lowery, Madeleine:
Numerical Identification of Motor Units using an Optimal Control Approach.
In: IFAC-PapersOnLine. Bd. 51 (2018) Heft 2 . - S. 174-179.
DOI: https://doi.org/10.1016/j.ifacol.2018.03.030

Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization of strictly dissipative discrete time systems with discounted optimal control.
In: Automatica. Bd. 93 (2018) . - S. 311-320.
DOI: https://doi.org/10.1016/j.automatica.2018.03.076

Grüne, Lars ; Pirkelmann, Simon ; Stieler, Marleen:
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems.
In: Feichtinger, Gustav ; Kovacevic, Raimund M. ; Tragler, Gernot (Hrsg.): Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018 . - S. 195-218 . - (Lecture Notes in Economics and Mathematical Systems ; 687 )
DOI: https://doi.org/10.1007/978-3-319-75169-6_10

Grüne, Lars ; Guglielmi, Roberto:
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.
In: SIAM Journal on Control and Optimization. Bd. 56 (2018) Heft 2 . - S. 1282-1302.
DOI: https://doi.org/10.1137/17M112350X

Braun, Philipp ; Grüne, Lars:
Verteilte Optimierung : Anwendungen in der Modellprädiktiven Regelung.
In: Automatisierungstechnik. Bd. 66 (2018) Heft 11 . - S. 939-949.
DOI: https://doi.org/10.1515/auto-2018-0009

2017

Grüne, Lars ; Stieler, Marleen:
Performance Guarantees for Multiobjective Model Predictive Control.
In: Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC). - Melbourne, Australia , 2017 . - S. 5545-5550
DOI: https://doi.org/10.1109/CDC.2017.8264482

Christof, Constantin ; Müller, Georg:
A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities.
Bayreuth , 2017 . - 27 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator.
In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne , 2017 . - S. 4890-4895
DOI: https://doi.org/10.1109/CDC.2017.8264382

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
In: IEEE Transactions on Automatic Control. Bd. 62 (2017) Heft 12 . - S. 6451-6457.
DOI: https://doi.org/10.1109/TAC.2017.2651649

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On the relation between turnpike properties for finite and infinite horizon optimal control problems.
In: Journal of Optimization Theory and Applications. Bd. 173 (2017) Heft 3 . - S. 727-745.
DOI: https://doi.org/10.1007/s10957-017-1103-6

Clason, Christian ; Schiela, Anton:
Optimal control of elliptic equations with positive measures.
In: ESAIM : Control, Optimisation and Calculus of Variations. Bd. 23 (2017) Heft 1 . - S. 217-240.
DOI: https://doi.org/10.1051/cocv/2015046

2016

Braun, Philipp:
Hierarchical distributed optimization and predictive control of a smart grid.
Bayreuth , 2016 . - ix+162 S.
( Dissertation, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Stöcklein, Matthias:
Optimal Control of Static Contact Problems in Linear Elasticity.
Bayreuth, Germany , 2016 . - 96 S.
(Masterarbeit, 2016 , Universität Bayreuth, Department of Mathematics, Faculty of Mathematics, Physics and Computer Science)

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Maximal Islanding Time For Microgrids via Distributed Predictive Control.
In: University of Minnesota (Hrsg.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota , 2016 . - S. 652-659

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
In: IFAC-PapersOnLine. Bd. 49 (2016) Heft 18 . - S. 247-252.
DOI: https://doi.org/10.1016/j.ifacol.2016.10.171

Müller, Georg ; Schiela, Anton:
On the Control of Time Discretized Dynamical Contact Problems.
Bayreuth , 2016 . - 35 S.

Worthmann, Karl ; Proch, Michael ; Braun, Philipp ; Schlüchtermann, Jörg ; Pannek, Jürgen:
Towards Dynamic Contract Extension in Supplier Development.
In: Logistics Research. Bd. 9 (2016) Heft 1 . - S. 1-12.
DOI: https://doi.org/10.1007/s12159-016-0141-z

2015

Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An affine covariant composite step method for optimization with PDEs as equality constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2015 . - 40 S. - (ZIB-Report ; 15-09 )

Lubkoll, Lars:
An Optimal Control Approach to Implant Shape Design : Modeling, Analysis and Numerics.
Bayreuth , 2015 . - III, 210 S.
( Dissertation, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

2014

Worthmann, Karl ; Kellett, Christopher M. ; Grüne, Lars ; Weller, Steven R.:
Distributed control of residential energy systems using a market maker.
In: Boje,Edward (Hrsg.): Proceedings of the 19th IFAC World Congress : IFAC-PapersOnLine. - Cape Town, South Africa , 2014 . - S. 11641-11646
DOI: https://doi.org/10.3182/20140824-6-ZA-1003.01785

Schiela, Anton:
A flexible framework for cubic regularization algorithms for non-convex optimization in function space.
Hamburg-Harburg , 2014 . - 26 S. - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik ; 183 )

Damm, Tobias ; Grüne, Lars ; Stieler, Marleen ; Worthmann, Karl:
An exponential turnpike theorem for dissipative discrete time optimal control problems.
In: SIAM Journal on Control and Optimization. Bd. 52 (2014) Heft 3 . - S. 1935-1957.
DOI: https://doi.org/10.1137/120888934

Rez.:

Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried:
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 108-126.
DOI: https://doi.org/10.1137/120866762

Rez.:

Schiela, Anton ; Ulbrich, Stefan:
Operator preconditioning for a class of inequality constrained optimal control problems.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 435-466.
DOI: https://doi.org/10.1137/120877532

Rez.:

Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An optimal control problem in polyconvex hyperelasticity.
In: SIAM Journal on Control and Optimization. Bd. 52 (2014) Heft 3 . - S. 1403-1422.
DOI: https://doi.org/10.1137/120876629

Rez.:

Sander, Oliver ; Schiela, Anton:
Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum.
In: Zeitschrift für angewandte Mathematik und Physik. Bd. 65 (2014) Heft 6 . - S. 1261-1288.
DOI: https://doi.org/10.1007/s00033-013-0389-y

Rez.:

AMS MathSciNet

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems.
In: IEEE Transactions on Automatic Control. Bd. 59 (2014) Heft 7 . - S. 1925-1929.
DOI: https://doi.org/10.1109/TAC.2013.2294616

Rez.:

AMS MathSciNet

2013

Schiela, Anton:
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control.
In: Systems & Control Letters. Bd. 62 (2013) Heft 10 . - S. 895-901.
DOI: https://doi.org/10.1016/j.sysconle.2013.06.013

Rez.:

Schiela, Anton ; Wachsmuth, Daniel:
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints.
In: ESAIM : Mathematical Modelling and Numerical Analysis. Bd. 47 (2013) Heft 3 . - S. 771-787.
DOI: https://doi.org/10.1051/m2an/2012049

Rez.:

Damm, Tobias:
Euclidean Norm Optimal Realization Revisited.
In: Hüper, Knut ; Trumpf, Jochen (Hrsg.): Mathematical System Theory : Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday. - Würzburg (Germany) ; Canberra (Australia) : CreateSpace Independent Publishing Platform, 2013 . - S. 91-102

Schiela, Anton:
An interior point method in function space for the efficient solution of state constrained optimal control problems.
In: Mathematical Programming Series A. Bd. 138 (2013) Heft 1-2 . - S. 83-114.
DOI: https://doi.org/10.1007/s10107-012-0595-y

Rez.:

Deuflhard, Peter ; Schiela, Anton:
Katz und Maus.
In: Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage. - Wiesbaden : Springer Fachmedien, 2013 . - S. 29-40
DOI: https://doi.org/10.1007/978-3-658-01004-1_5

Damm, Tobias ; Stahl, Dominik:
Linear least squares problems with additional constraints and an application to scattered data approximation.
In: Linear Algebra and its Applications. Bd. 439 (2013) Heft 4 . - S. 933-943.
DOI: https://doi.org/10.1016/j.laa.2012.08.015

Rez.:

Jarlebring, Elias ; Damm, Tobias ; Michiels, Wim:
Model reduction of time-delay systems using position balancing and delay Lyapunov equations.
In: Mathematics of Control, Signals, and Systems. Bd. 25 (2013) Heft 2 . - S. 147-166.
DOI: https://doi.org/10.1007/s00498-012-0096-9

Rez.:

Damm, Tobias ; Muhirwa, Luc N.:
On Euclidean Norm Balancing.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 13 (2013) Heft 1 . - S. 487-488.
DOI: https://doi.org/10.1002/pamm.201310236

2012

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive numerical integration of dynamical contact problems.
2012
Veranstaltung: Thematic Conference of the European Community on Computational Methods in Applied Sciences (ECCOMAS), 2nd International Conference on Computational Contact Mechanics (ICCCM 2011) , 15.-17. Juni 2011 , Hannover, Germany.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Stahl, Dominik ; Damm, Tobias:
Approximation of scattered data using the lifting scheme.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (2012) Heft 1 . - S. 739-740.
DOI: https://doi.org/10.1002/pamm.201210358

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Fast algorithms for the simulation of human knee joint motion.
In: Proceedings of the IASTED International Conference on Biomedical Engineering (BioMed 2012), February 15-17, 2012, Innsbruck, Austria. - Anaheim, CA : ACTA Press, 2012 . - S. 696-699
DOI: https://doi.org/10.2316/P.2012.764-176

Deuflhard, Peter ; Schiela, Anton ; Weiser, Martin:
Mathematical cancer therapy planning in deep regional hyperthermia.
In: Acta Numerica. Bd. 21 (2012) . - S. 307-378.
DOI: https://doi.org/10.1017/S0962492912000049

Rez.:

Götschel, Sebastian ; Weiser, Martin ; Schiela, Anton:
Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox.
In: Dedner, Andreas ; Flemisch, Bernd ; Klöfkorn, Robert (Hrsg.): Advances in DUNE : Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany. - Berlin : Springer, 2012 . - S. 101-112
DOI: https://doi.org/10.1007/978-3-642-28589-9_8

Grußler, Christian ; Damm, Tobias:
Symmetric Positivity Preserving Balanced Truncation.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (2012) Heft 1 . - S. 717-718.
DOI: https://doi.org/10.1002/pamm.201210347

Grußler, Christian ; Damm, Tobias:
A Symmetry Approach for Balanced Truncation of Positive Linear Systems.
In: Proceedings of the 51st IEEE Conference on Decision and Control Held in Maui, Hawaii, 2012. - Maui, Hawaii, USA : Institute of Electrical and Electronics Engineers (IEEE), 2012 . - S. 4308-4313
DOI: https://doi.org/10.1109/CDC.2012.6426442

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings in the step response of linear time-delay systems.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (2012) Heft 1 . - S. 701-702.
DOI: https://doi.org/10.1002/pamm.201210339

2011

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive timestep control for the contact-stabilized Newmark method.
In: Numerische Mathematik. Bd. 119 (2011) Heft 1 . - S. 49-81.
DOI: https://doi.org/10.1007/s00211-011-0374-3

Rez.:

Schiela, Anton ; Wollner, Winnifried:
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization. Bd. 21 (2011) Heft 1 . - S. 269-286.
DOI: https://doi.org/10.1137/080742154

Rez.:

Hinze, Michael ; Schiela, Anton:
Discretization of interior point methods for state constrained elliptic optimal control problems : optimal error estimates and parameter adjustment.
In: Computational Optimization and Applications. Bd. 48 (2011) Heft 3 . - S. 581-600.
DOI: https://doi.org/10.1007/s10589-009-9278-x

Rez.:

Schiela, Anton ; Günther, Andreas:
An interior point algorithm with inexact step computation in function space for state constrained optimal control.
In: Numerische Mathematik. Bd. 119 (2011) Heft 2 . - S. 373-407.
DOI: https://doi.org/10.1007/s00211-011-0381-4

Rez.:

Damm, Tobias ; Homeyer, Jan:
On Indefinite Damping and Gyroscopic Stabilization.
In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC), 2011 . - S. 7589-7593
DOI: https://doi.org/10.3182/20110828-6-IT-1002.01773

Meyer, Christian ; Panizzi, Lucia ; Schiela, Anton:
Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control.
In: Numerical Functional Analysis and Optimization. Bd. 32 (2011) Heft 9 . - S. 983-1007.
DOI: https://doi.org/10.1080/01630563.2011.587074

Rez.:

2010

Schiela, Anton ; Weiser, Martin:
Barrier Methods for a Control Problem from Hyperthermia Treatment Planning.
In: Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010 . - S. 419-428
DOI: https://doi.org/10.1007/978-3-642-12598-0_36

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Consistency results on Newmark methods for dynamical contact problems.
In: Numerische Mathematik. Bd. 116 (2010) Heft 1 . - S. 65-94.
DOI: https://doi.org/10.1007/s00211-010-0300-0

Rez.:

Deuflhard, Peter ; Kornhuber, Ralf ; Sander, Oliver ; Schiela, Anton ; Weiser, Martin:
Mathematics cures virtual patients.
In: MATHEON - Mathematics for Key Technologies. - Zürich : European Math. Soc., 2010 . - S. 7-25 . - (EMS Series in Industrial and Applied Mathematics ; 1 )
DOI: https://doi.org/10.4171/137

2009

Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization. Bd. 20 (2009) Heft 2 . - S. 1002-1031.
DOI: https://doi.org/10.1137/070692789

Rez.:

Schiela, Anton:
An extended mathematical framework for barrier methods in function space.
In: Bercovier, Michel ; Gander, Martin J. ; Kornhuber, Ralf ; Widlund, Olof (Hrsg.): Domain decomposition methods in science and engineering XVIII. - Berlin : Springer, 2009 . - S. 201-208 . - (Lecture Notes in Computational Science and Engineering ; 70 )
DOI: https://doi.org/10.1007/978-3-642-02677-5_21

Rez.:

Haller-Dintelmann, Robert ; Meyer, Christian ; Rehberg, Joachim ; Schiela, Anton:
Hölder continuity and optimal control for nonsmooth elliptic problems.
In: Applied Mathematics and Optimization. Bd. 60 (2009) Heft 3 . - S. 397-428.
DOI: https://doi.org/10.1007/s00245-009-9077-x

Rez.:

Schiela, Anton:
Interior point methods in function space : Newton path-following and adaptivity.
In: Oberwolfach Reports. Bd. 6 (2009) Heft 04 . - S. 254-256.
DOI: https://doi.org/10.4171/OWR/2009/04

Prüfert, Uwe ; Schiela, Anton:
The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik. Bd. 89 (2009) Heft 7 . - S. 536-551.
DOI: https://doi.org/10.1002/zamm.200800097

Rez.:

Klapproth, Corinna ; Deuflhard, Peter ; Schiela, Anton:
A perturbation result for dynamical contact problems.
In: Numerical Mathematics : Theory, Methods and Applications. Bd. 2 (2009) Heft 3 . - S. 237-257.
DOI: https://doi.org/10.4208/nmtma.2009.m9003

Rez.:

Schiela, Anton:
State constrained optimal control problems with states of low regularity.
In: SIAM Journal on Control and Optimization. Bd. 48 (2009) Heft 4 . - S. 2407-2432.
DOI: https://doi.org/10.1137/080727610

Rez.:

2008

Weiser, Martin ; Gänzler, Tobias ; Schiela, Anton:
A control reduced primal interior point method for a class of control constrained optimal control problems.
In: Computational Optimization and Applications. Bd. 41 (2008) Heft 1 . - S. 127-145.
DOI: https://doi.org/10.1007/s10589-007-9088-y

Rez.:

Schiela, Anton:
A simplified approach to semismooth Newton methods in function space.
In: SIAM Journal on Optimization. Bd. 19 (2008) Heft 3 . - S. 1417-1432.
DOI: https://doi.org/10.1137/060674375

Rez.:

Schiela, Anton ; Weiser, Martin:
Superlinear convergence of the control reduced interior point method for PDE constrained optimization.
In: Computational Optimization and Applications. Bd. 39 (2008) Heft 3 . - S. 369-393.
DOI: https://doi.org/10.1007/s10589-007-9057-5

Rez.:

2007

Schiela, Anton:
Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2007 . - (ZIB-Report ; 07-35 )

2006

Schiela, Anton:
A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2006 . - (ZIB-Report ; 06-41 )

Schiela, Anton:
Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2006 . - (ZIB-Report ; 06-16 )

2005

Weiser, Martin ; Schiela, Anton ; Deuflhard, Peter:
Asymptotic mesh independence of Newton's method revisited.
In: SIAM Journal on Numerical Analysis. Bd. 42 (2005) Heft 5 . - S. 1830-1845.
DOI: https://doi.org/10.1137/S0036142903434047

Rez.:

2004

Weiser, Martin ; Schiela, Anton:
Function space interior point methods for PDE constrained optimization.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 4 (2004) Heft 1 . - S. 43-46.
DOI: https://doi.org/10.1002/pamm.200410011

2003

Schiela, Anton ; Bornemann, Folkmar:
Sparsing in real time simulation.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik. Bd. 83 (2003) Heft 10 . - S. 637-647.
DOI: https://doi.org/10.1002/zamm.200310070

Rez.:

2000

Schiela, Anton ; Olsson, Hans:
Mixed-mode integration for real-time simulation.
In: Papers of the Modelica Workshop 2000. - Linköping, Sweden : Modelica Association, 2000 . - S. 69-75

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