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Buch / Monografie
Baier, Robert ; Gerdts, Matthias:
Set-Valued Numerical Analysis and Optimal Control : Lecture Notes for the DAAD Intensive Course "Optimization - Theory and Applications" (July 05 -17, 2005).
Borovets, Bulgaria
,
2005
. -
264 S.
Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.
Bayreuth
:
Universität
,
1995
. -
XXII, 248 S.
- (Bayreuther Mathematische Schriften
; 50
)
Artikel in einer Zeitschrift
Baier, Robert ; Farkhi, Elza:
A Filippov Approximation Theorem for Strengthened One-Sided Lipschitz Differential Inclusions.
In: Computational Optimization and Applications.
Bd. 86
(2023)
.
- S. 885-923.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-023-00517-9
Baier, Robert ; Eichfelder, Gabriele ; Gerlach, Tobias:
Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets.
In: Optimization.
Bd. 71
(2022)
Heft 8
.
- S. 2273-2314.
ISSN 1029-4945
DOI: https://doi.org/10.1080/02331934.2020.1812605
Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Optimization-based subdivision algorithm for reachable sets.
In: Journal of Computational Dynamics.
Bd. 8
(2021)
Heft 1
.
- S. 99-130.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2021005
Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias:
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach.
In: Optimal Control Applications and Methods.
Bd. 41
(2020)
Heft 2
.
- S. 668-689.
ISSN 1099-1514
DOI: https://doi.org/10.1002/oca.2565
Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods.
In: Mathematical Control and Related Fields.
Bd. 9
(2019)
Heft 2
.
- S. 223-255.
ISSN 2156-8472
DOI: https://doi.org/10.3934/mcrf.2019012
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.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2019.11.808
Achtziger, Wolfgang ; Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Exact Penalty and Lagrange Duality via the Directed Subdifferential.
In: Pure and Applied Functional Analysis.
Bd. 2
(2017)
Heft 2
.
- S. 183-220.
ISSN 2189-3756
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
From Quasidifferentiable to Directed Subdifferentiable Functions : Exact Calculus
Rules.
In: Journal of Optimization Theory and Applications.
Bd. 171
(2016)
Heft 2
.
- S. 384-401.
ISSN 0022-3239
DOI: https://doi.org/10.1007/s10957-016-0926-x
Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions with low gains via linear programming.
In: Discrete and Continuous Dynamical Systems. Series B.
Bd. 20
(2015)
Heft 8
.
- S. 2477-2495.
ISSN 1531-3492
DOI: https://doi.org/10.3934/dcdsb.2015.20.2477
Baier, Robert ; Dellnitz, Michael ; Hessel-von Molo, Mirko ; Kevrekidis, Yannis G. ; Sertl, Stefan:
The computation of convex invariant sets via Newton's method.
In: Journal of Computational Dynamics.
Bd. 1
(2014)
Heft 1
.
- S. 39-69.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2014.1.39
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure.
In: Journal of Optimization Theory and Applications.
Bd. 160
(2014)
Heft 2
.
- S. 391-414.
ISSN 0022-3239
DOI: https://doi.org/10.1007/s10957-013-0401-x
Farkhi, Elza ; Donchev, Tzanko D. ; Baier, Robert:
Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type.
In: Comptes Rendus de l'Académie Bulgare des Sciences.
Bd. 67
(2014)
Heft 3
.
- S. 323-330.
ISSN 1310-1331
Baier, Robert ; Gerdts, Matthias ; Xausa, Ilaria:
Approximation of reachable sets using optimal control algorithms.
In: Numerical Algebra, Control and Optimization.
Bd. 3
(2013)
Heft 3
.
- S. 519-548.
ISSN 2155-3297
DOI: https://doi.org/10.3934/naco.2013.3.519
Alt, Walter ; Baier, Robert ; Lempio, Frank ; Gerdts, Matthias:
Approximations of linear control problems with bang-bang solutions.
In: Optimization.
Bd. 62
(2013)
Heft 1
.
- S. 9-32.
ISSN 1029-4945
DOI: https://doi.org/10.1080/02331934.2011.568619
Baier, Robert ; Farkhi, Elza:
Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity.
In: Serdica Mathematical Journal.
Bd. 39
(2013)
Heft 3-4
.
- S. 365-390.
ISSN 1310-6600
Baier, Robert ; Farkhi, Elza:
Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties.
In: Serdica Mathematical Journal.
Bd. 39
(2013)
Heft 3-4
.
- S. 391-422.
ISSN 1310-6600
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I : Definition and examples.
In: Nonlinear Analysis : Theory, Methods & Applications.
Bd. 75
(2012)
Heft 3
.
- S. 1074-1088.
ISSN 0362-546X
DOI: https://doi.org/10.1016/j.na.2011.04.074
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II : Calculus.
In: Nonlinear Analysis : Theory, Methods & Applications.
Bd. 75
(2012)
Heft 3
.
- S. 1058-1073.
ISSN 0362-546X
DOI: https://doi.org/10.1016/j.na.2011.04.073
Alt, Walter ; Baier, Robert ; Gerdts, Matthias ; Lempio, Frank:
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions.
In: Numerical Algebra, Control and Optimization.
Bd. 2
(2012)
Heft 3
.
- S. 547-570.
ISSN 2155-3297
DOI: https://doi.org/10.3934/naco.2012.2.547
Baier, Robert ; Din, Q. ; Donchev, T. D.:
Higher order Runge–Kutta methods for impulsive differential systems.
In: Applied Mathematics and Computation.
Bd. 218
(2012)
Heft 24
.
- S. 11790-11798.
ISSN 0096-3003
DOI: https://doi.org/10.1016/j.amc.2012.05.037
Baier, Robert ; Grüne, Lars ; Freyr Hafstein, Sigurđur:
Linear programming based Lyapunov function computation for differential inclusions.
In: Discrete and Continuous Dynamical Systems. Series B.
Bd. 17
(2012)
Heft 1
.
- S. 33-56.
ISSN 1531-3492
DOI: https://doi.org/10.3934/dcdsb.2012.17.33
Baier, Robert ; Perria, Gilbert:
Set-valued Hermite interpolation.
In: Journal of Approximation Theory.
Bd. 163
(2011)
Heft 10
.
- S. 1349-1372.
ISSN 1096-0430
DOI: https://doi.org/10.1016/j.jat.2010.11.004
Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
In: IFAC Proceedings Volumes.
Bd. 43
(2010)
Heft 14
.
- S. 1098-1103.
ISSN 1474-6670
DOI: https://doi.org/10.3182/20100901-3-IT-2016.00132
Baier, Robert ; Donchev, Tzanko:
Discrete Approximation of Impulsive Differential Inclusions.
In: Numerical Functional Analysis and Optimization.
Bd. 31
(2010)
Heft 6
.
- S. 653-678.
ISSN 1532-2467
DOI: https://doi.org/10.1080/01630563.2010.483878
Baier, Robert ; Lempio, Frank:
Von Eudoxos bis zur Klimafolgenforschung : Exhaustion, Finite Elemente und mengenwertige Numerik.
In: Spektrum.
(2008)
Heft 1
.
- S. 6-12.
Baier, Robert ; Büskens, Christof ; Chahma, Ilyes Aïssa ; Gerdts, Matthias:
Approximation of reachable sets by direct solution methods for optimal control problems.
In: Optimization Methods and Software.
Bd. 22
(2007)
Heft 3
.
- S. 433-452.
ISSN 1029-4937
DOI: https://doi.org/10.1080/10556780600604999
Baier, Robert ; Farkhi, Elza:
Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points.
In: Set-Valued Analysis.
Bd. 15
(2007)
.
- S. 185-207.
ISSN 0927-6947
DOI: https://doi.org/10.1007/s11228-006-0038-0
Baier, Robert ; Chahma, Ilyes Aïssa ; Lempio, Frank:
Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions.
In: SIAM Journal on Optimization.
Bd. 18
(2007)
Heft 3
.
- S. 1004-1026.
ISSN 1095-7189
DOI: https://doi.org/10.1137/060661867
Baier, Robert ; Farkhi, Elza M.:
Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets.
In: Set-Valued Analysis.
Bd. 9
(2001)
.
- S. 217-245.
ISSN 0927-6947
DOI: https://doi.org/10.1023/A:1012046027626
Baier, Robert ; Farkhi, Elza M.:
Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets.
In: Set-Valued Analysis.
Bd. 9
(2001)
.
- S. 247-272.
ISSN 0927-6947
DOI: https://doi.org/10.1023/A:1012009529492
Baier, Robert:
Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik.
Bd. 74
(1994)
Heft 6
.
- S. T55-T557.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.19940740604
Aufsatz in einem Buch
Baier, Robert ; Farkhi, Elza:
Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions.
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. 27-55
. - (Lecture Notes in Economics and Mathematical Systems
; 687
)
ISBN 978-3-319-75168-9
DOI: https://doi.org/10.1007/978-3-319-75169-6_3
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
)
ISBN 978-3-319-97477-4
DOI: https://doi.org/10.1007/978-3-319-97478-1_12
Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions via linear programming.
In:
MTNS 2014 : MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. -
Groningen
: University of Groningen Press
,
2014
. - S. 1189-1195
ISBN 978-90-367-6321-9
Baier, Robert ; Hafstein, Sigurdur Freyr:
Numerical computation of control Lyapunov functions in the sense of generalized gradients.
In:
MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. -
Groningen
: University of Groningen Press
,
2014
. - S. 1173-1180
ISBN 978-90-367-6321-9
Xausa, Ilaria ; Baier, Robert ; Gerdts, Matthias ; Gonter, Mark ; Wegwerth, Christian:
Avoidance trajectories for driver assistance systems via solvers for optimal control problems.
In:
Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. -
Melbourne, Australia
: Think Business Events
,
2012
. - S. 8
ISBN 978-0-646-58062-3
Baier, Robert ; Hessel-von Molo, Mirko:
Newton’s method and secant method for set-valued mappings.
In: Lirkov, Ivan ; Margenov, Svetozar D. ; Waśniewski, Jerzy
(Hrsg.):
Large-scale scientific computing : 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6 - 10, 2011 ; revised selected papers. -
Berlin
,
2012
. - S. 91-98
. - (Lecture Notes in Computer Science
; 7116
)
ISBN 978-3-642-29842-4
DOI: https://doi.org/10.1007/978-3-642-29843-1_9
Baier, Robert:
Set-valued Euler's method with interpolated distance functions and optimal control solvers.
In:
Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). -
Melbourne, Australia
: Think Business Events
,
2012
ISBN 978-0-646-58062-3
Baier, Robert ; Farkhi, Elza:
The Directed Subdifferential of DC functions.
In: Leizaarowitz, A. ; Mordukhovich, B. S. ; Shafrir, I. ; Zaslavski, A. J.
(Hrsg.):
Nonlinear analysis and optimization II. Optimization : a conference in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays, June 18-24, 2008, Haifa, Israel. -
Providence, R.I.
: American Mathematical Society
,
2010
. - S. 27-43
. - (Contemporary Mathematics
; 514
)
ISBN 9780821881934
DOI: https://doi.org/10.1090/conm/514
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions.
In: Burachik, Regina S. ; Yao, Jen-Chih
(Hrsg.):
Variational Analysis and Generalized Differentiation in Optimization and Control : In Honor of Boris S. Mordukhovich. -
New York
: Springer
,
2010
. - S. 59-93
. - (Springer Optimization and its Applications
; 47
)
ISBN 978-1-4419-0436-2
DOI: https://doi.org/10.1007/978-1-4419-0437-9_3
Baier, Robert ; Gerdts, Matthias:
A computational method for non-convex reachable sets using optimal control.
In:
Proceedings of the European Control Conference (ECC). -
Piscataway, New Jersey
: IEEE
,
2009
. - S. 97-102
ISBN 978-3-9524173-9-3
DOI: https://doi.org/10.23919/ECC.2009.7074386
Baier, Robert:
Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis.
In: Staicu, Vasile
(Hrsg.):
Differential Equations, Chaos and Variational Problems. -
Basel
: Birkhäuser
,
2007
. - S. 49-60
. - (Progress in Nonlinear Differential Equations and Their Applications
; 75
)
ISBN 978-3-7643-8481-4
DOI: https://doi.org/10.1007/978-3-7643-8482-1_4
Baier, Robert:
Selection Strategies for Set-Valued Runge-Kutta Methods.
In: Li, Zhilin ; Vulkov, Lubin ; Waśniewski, Jerzy
(Hrsg.):
Numerical Analysis and Its Applications : Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004 ; Revised Selected Papers. -
Berlin ; Heidelberg
: Springer
,
2005
. - S. 149-157
. - (Lecture Notes in Computer Science
; 3401
)
ISBN 978-3-540-24937-5
DOI: https://doi.org/10.1007/978-3-540-31852-1_16
Baier, Robert ; Dyn, N. ; Farkhi, E.:
The Metric Average of 1D Compact Sets.
In: Chui, Charles K. ; Schumaker, Larry L. ; Stöckler, Joachim
(Hrsg.):
Approximation Theory X : selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001. Volume 1. Abstract and classical analysis. -
Nashville
: Vanderbilt Univ. Press
,
2002
. - S. 9-22
. - (Innovations in Applied Mathematics
)
ISBN 0-8265-1415-4
Baier, Robert ; Farkhi, Elza M.:
Directed Derivatives of Convex Compact-Valued Mappings.
In: Hadjisavvas, Nicolas ; Pardalos, Panos M.
(Hrsg.):
Advances in Convex Analysis and Global Optimization : honoring the memory of C. Caratheodory (1873 - 1950). -
Dordrecht
: Kluwer Academic Publishers
,
2001
. - S. 501-514
. - (Nonconvex Optimization and its Applications
; 54
)
ISBN 978-0-7923-6942-4
DOI: https://doi.org/10.1007/978-1-4613-0279-7_32
Baier, Robert ; Farkhi, E.:
Directed Sets and Differences of Convex Compact Sets.
In: Polis, Michael P. ; Dontchev, Asen L. ; Kall, Peter ; Lasiecka, Irena ; Olbrot, Andrzej W.
(Hrsg.):
Systems modelling and optimization : Proceedings of the 18th IFIP TC7 Conference held in Detroit, Michigan, July 22-25, 1997. -
Boca Raton
: Chapman & Hall
,
1999
. - S. 135-143
. - (Chapman & Hall/CRC Research Notes in Mathematics Series
; 396
)
ISBN 0-8493-0607-8
Baier, Robert ; Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods.
In: Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L.
(Hrsg.):
Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. -
Wellesley, Mass.
: Peters
,
1994
. - S. 9-18
ISBN 1-56881-039-3
Baier, Robert ; Lempio, Frank:
Computing Aumann's Integral.
In: Kuržanskij, Aleksandr B. ; Veliov, Vladimir M.
(Hrsg.):
Modeling Techniques for Uncertain Systems : Proceedings of a Conference held in Sopron, Hungary, July 6-10, 1992. -
Basel
: Birkhäuser
,
1994
. - S. 71-92
. - (Progress in Systems and Control Theory
; 18
)
ISBN 3-7643-3746-X
Veranstaltungsbeitrag
Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias ; Töpfer, Daniel:
Software for verification of collision avoidance algorithms via optimal control techniques.
2014
Veranstaltung: Conference on New Trends in Optimal Control (NetCO 2014)
, 23.-27. Juni 2014
, Tours, Frankreich.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung
,
Vortrag
)
Preprint, Postprint
Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Analytical and numerical estimates of reachable sets in a subdivision scheme.
Bayreuth ; Neubiberg/München
,
2017
. - 15 S.
DOI: https://doi.org/10.15495/EPub_UBT_00005055
Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 1: Error Estimates.
University of Bayreuth, Germany; Università di Padova, Italy
Bayreuth ; Padova
,
2015
. - 30 S.
Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations.
University of Bayreuth, Germany; Università di Padova, Italy
Bayreuth ; Padova
,
2015
. - 16 S.
Baier, Robert ; Donchev, Tzanko:
Discrete Approximation of Impulsive Differential Inclusions.
Bonn
,
2009
. - 22 S.
Baier, Robert ; Perria, Gilbert:
Hermite Interpolation with Directed Sets.
Hausdorff-Research-Institute
Bonn
,
2008
. - 35 S.
Baier, Robert ; Farkhi, Elza:
The Directed Subdifferential of DC functions.
Hausdorff-Research-Institute
Bonn
,
2008
. - 19 S.
Working paper, Diskussionspapier
Baier, Robert ; Dyn, N.:
Rotational Metric Average in |R^n.
Bayreuth
:
Mathematisches Institut
,
2004
. - 11 S.
- (Technical Report
)
Baier, Robert:
Selection Strategies of Set-Valued Runge-Kutta Methods.
Bayreuth
:
Mathematisches Institut
,
2004
. - 40 S.
- (Technical Report
)
Projektbericht, Forschungsbericht, Gutachten
Baier, Robert ; Lempio, Frank ; Polovinkin, Evgenii S.:
Set-Valued Integration with Negative Weights.
Bayreuth
: Mathematisches Institut,
2002
. - 35 S.
Dissertation
Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.
Bayreuth
:
Department of Mathematics
,
1994
. - XIX, 202 S. S.
(
Dissertation,
1994
, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Master-, Magister-, Diplom- oder Zulassungsarbeit
Baier, Robert:
Konvergenz und numerische Realisierung von Mehrgitterverfahren und Diskretisierungsmethoden für Randwertaufgaben zweiter Ordnung.
Bayreuth
,
1990
. - XIX, 202 S.
(Diplomarbeit,
1990
, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
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https://eref.uni-bayreuth.de/XML/person_gndid/1159406715.xml