Optimal Control with Hysteresis Nonlinearity and Multidimensional Play Operator

Anastasia Goudovich 1 Marc Quincampoix 2
1 Department of Mathematics
2 LM - Laboratoire de mathématiques de Brest
Abstract : We investigate an optimal control of a system with a specific form of hysteresis. The hysteresis operator considered in the article is a Play operator which generalizes the usual Play operator defined through a one dimensional domain set. The main novelty of this paper lies in the study of the Play operator with a set of feasible states which is multidimensional and possibly nonconvex. The key ingredient of our approach is the interpretation of the hysteresis control systems through a reflected control system. We provide a characterization of the value in terms of the unique solution to a Hamilton-Jacobi-Bellman variational inequality.
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Article dans une revue
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2011, pp.788-807. 〈10.1137/090770011〉
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https://hal.inria.fr/inria-00636541
Contributeur : Estelle Bouzat <>
Soumis le : jeudi 27 octobre 2011 - 16:33:34
Dernière modification le : jeudi 11 janvier 2018 - 06:16:45

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Anastasia Goudovich, Marc Quincampoix. Optimal Control with Hysteresis Nonlinearity and Multidimensional Play Operator. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2011, pp.788-807. 〈10.1137/090770011〉. 〈inria-00636541〉

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