An Output Optimal Control of Infinite-Dimensional Hyperbolic Bilinear Systems

In this paper, we examine a regional optimal control problem for a class of infinite-dimensional hyperbolic bilinear systems evolving on a spatial domain Ω. We characterize an optimal control that minimizes a cost functional, which is composed of the gap between the desired state and final state usi...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 276; no. 2; pp. 274 - 288
Main Authors Zerrik, E., Kabouss, A. El, Larhrissi, R.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 06.10.2023
Springer
Springer Nature B.V
Subjects
Backup software
Mathematics
Mathematics and Statistics
Optimal control
Optimization
regional controllability
distributed optimal control
93D15
hyperbolic system
infinite-dimensional bilinear system
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Summary:In this paper, we examine a regional optimal control problem for a class of infinite-dimensional hyperbolic bilinear systems evolving on a spatial domain Ω. 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06740-3