Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 178, Pages 77–90
DOI: https://doi.org/10.36535/0233-6723-2020-178-77-90 (Mi into613) 		 
Output optimal control of infinite-dimensional hyperbolic bilinear systems

E. Zerrik, A. El Kabouss, R. Larhrissi

Moulay Ismail University
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DOI: https://doi.org/10.36535/0233-6723-2020-178-77-90
Abstract: In this paper, we examine a regional optimal control problem for a class of infinite-dimensional hyperbolic bilinear systems evolving on a spatial domain $\Omega$. We characterize an optimal control that minimizes a cost functional, which is composed of the gap between the desired state and final state using optimality conditions. The approach is successfully illustrated by simulations.
Keywords: hyperbolic system, infinite-dimensional bilinear system, distributed optimal control, regional controllability.
Document Type: Article
UDC: 517.977.56
MSC: 93D15
Language: Russian
Citation: E. Zerrik, A. El Kabouss, R. Larhrissi, “Output optimal control of infinite-dimensional hyperbolic bilinear systems”, Optimal control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 178, VINITI, Moscow, 2020, 77–90
Citation in format AMSBIB
\Bibitem{ZerEl Lar20}
\by E.~Zerrik, A.~El Kabouss, R.~Larhrissi
\paper Output optimal control of infinite-dimensional hyperbolic bilinear systems
\inbook Optimal control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 178
\pages 77--90
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into613}
\crossref{https://doi.org/10.36535/0233-6723-2020-178-77-90}
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