Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control Part I: Theory

DOI10.1002/oca.2732zbMath1472.93075arXiv1906.02703OpenAlexW3157281748MaRDI QIDQ5159857

Ivan Yegorov, Peter M. Dower, Lars Grüne

Publication date: 28 October 2021

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02703

zbMATH Keywords

feedback stabilization Hamilton-Jacobi-Bellman equations curse of dimensionality control Lyapunov functions Pontryagin's principle characteristic Cauchy problems exit-time optimal control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi equations in optimal control and differential games (49L12)

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