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An Output Optimal Control of Infinite-Dimensional Hyperbolic Bilinear Systems

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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 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.

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Authors and Affiliations

  1. University Moulay Ismail, Meknes, Morocco

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

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  1. E. Zerrik
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  2. A. El Kabouss
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  3. R. Larhrissi
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Correspondence to E. Zerrik.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 178, Optimal Control, 2020.

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Zerrik, E., Kabouss, A.E. & Larhrissi, R. An Output Optimal Control of Infinite-Dimensional Hyperbolic Bilinear Systems. J Math Sci 276, 274–288 (2023). https://doi.org/10.1007/s10958-023-06740-3

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  • DOI: https://doi.org/10.1007/s10958-023-06740-3

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