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State space representations of the Roesser type for convolutional layers

P. Pauli, D. Gramlich, and F. Allgöwer. 26th International Symposium on Mathematical Theory of Networks and Systems MTNS 2024, 58, 17, page 344-349. Elsevier, (2024)
DOI: 10.1016/j.ifacol.2024.10.193

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Dennis Bauer University of Stuttgart

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Linear systems with neural network nonlinearities : Improved stability analysis via acausal Zames-Falb multipliersP. Pauli, D. Gramlich, J. Berberich, and F. Allgöwer. 2021 60th IEEE Conference on Decision and Control (CDC), page 3611-3618. Piscataway, IEEE, (2021)A Structure Exploiting SDP Solver for Robust Controller SynthesisD. Gramlich, T. Holicki, C. Scherer, and C. Ebenbauer. IEEE control systems letters, (2023)Robust Differential Dynamic ProgrammingD. Gramlich, C. Scherer, and C. Ebenbauer. 2022 IEEE 61st Conference on Decision and Control (CDC), page 1714-1721. IEEE, (2022)Trajectory Generation for the Unicycle Model Using Semidefinite RelaxationsH. Häring, D. Gramlich, C. Ebenbauer, and C. Scherer. European journal of control, 80 (Part A): 101063 (2024)Convolutional Neural Networks as 2-D systemsD. Gramlich, P. Pauli, C. Scherer, F. Allgöwer, and C. Ebenbauer. (March 2023)Trajectory Generation for the Unicycle Model Using Semidefinite RelaxationsH. Häring, D. Gramlich, C. Ebenbauer, and C. Scherer. accepted for publication, (2024)Synthesis of constrained robust feedback policies and model predictive controlD. Gramlich, C. Scherer, H. Häring, and C. Ebenbauer. arXiv, (2023)Enhancing the Guidance, Navigation and Control of Autonomous Parafoils using Machine Learning MethodsL. Hewing, D. Gramlich, C. Verhoek, R. Polonio, J. Veenman, C. Ardura, R. Tóth, C. Ebenbauer, C. Scherer, and V. Preda. ESA GNC and ICATT Conference, Noordwijk, European Space Agency, (2023)Lipschitz constant estimation for 1D convolutional neural networksP. Pauli, D. Gramlich, and F. Allgöwer. Proceedings of The 5th Annual Learning for Dynamics and Control Conference, 211, page 1321-1332. PMLR, (2023)Synthesis of accelerated gradient algorithms for optimization and saddle point problems using Lyapunov functions and LMIsD. Gramlich, C. Ebenbauer, and C. Scherer. Systems & control letters, 165 (July): 105271 (2022)