Projects: Nichtlineare optimale Feedback-Regelung mit tiefen neuronalen Netzen ohne den Fluch der Dimension: Räumlich abnehmende Sensitivität und nichtglatte Probleme

Grüne, Lars ; Sperl, Mario:
Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems.
Bayreuth , 2026 . - 6 p.
DOI: https://doi.org/10.48550/arXiv.2602.05020

Sperl, Mario ; Saluzzi, Luca ; Kalise, Dante ; Grüne, Lars:
Separable approximations of optimal value functions and their representation by neural networks.
In: SIAM Journal on Control and Optimization. Vol. 64 (2026) . - pp. 1099-1126.
DOI: https://doi.org/10.1137/25M173346X

Grüne, Lars ; Kleinberg, Konrad ; Kruse, Thomas ; Sperl, Mario:
Convexity and strict convexity for compositional neural networks in high-dimensional optimal control.
Bayreuth , 2025 . - 21 p.
DOI: https://doi.org/10.48550/arXiv.2511.05339

Sperl, Mario ; Mysliwitz, Jonas ; Grüne, Lars:
On the existence and neural network representation of separable control Lyapunov functions.
In: Automatica. Vol. 182 (2025) . - 112517.
DOI: https://doi.org/10.1016/j.automatica.2025.112517

Grüne, Lars ; Sperl, Mario ; Chatterjee, Debasish:
Representation of practical nonsmooth control Lyapunov functions by piecewise affine functions and neural networks.
In: Systems & Control Letters. Vol. 202 (2025) . - 106103.
DOI: https://doi.org/10.1016/j.sysconle.2025.106103

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 . - pp. 259-264
DOI: https://doi.org/10.1109/CDC49753.2023.10383497

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