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Monotone numerical schemes and feedback construction for hybrid control systems

Abstract : Hybrid systems are a general framework which can model a large class of control systems arising whenever a collection of continuous and discrete dynamics are put together in a single model. In this paper, we study the convergence of monotone numerical approximations of value functions associated to control problems governed by hybrid systems. We discuss also the feedback reconstruction and derive a convergence result for the approximate feedback control law. Some numerical examples are given to show the robustness of the monotone approximation schemes.
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Submitted on : Friday, July 25, 2014 - 9:49:49 AM
Last modification on : Friday, December 3, 2021 - 11:34:09 AM
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Roberto Ferretti, Hasnaa Zidani. Monotone numerical schemes and feedback construction for hybrid control systems. Journal of Optimization Theory and Applications, Springer Verlag, 2015, 165 (2), pp.507-531. ⟨10.1007/s10957-014-0637-0⟩. ⟨hal-00989492v2⟩



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