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Existence and Uniqueness of Optimal Control for a Distributed-Parameter Bilinear System

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Abstract

In this paper, we study an optimal control problem of bilinear type. The system is governed by a fourth-order parabolic operator. The performance index is of the form J(u) = ∫ T0 L(z(t), u(t)) dt. Under suitable hypotheses, it is shown that there exists an optimal control ū and it satisfies an appropriate optimality system. Further, for a small initial state ū is unique.

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Authors and Affiliations

  1. Département de mathématiques et Informatique, Université Mohamed I, Faculté des Sciences, Oujda, Maroc

    A. Addou & A. Benbrik

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  1. A. Addou
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  2. A. Benbrik
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Addou, A., Benbrik, A. Existence and Uniqueness of Optimal Control for a Distributed-Parameter Bilinear System. Journal of Dynamical and Control Systems 8, 141–152 (2002). https://doi.org/10.1023/A:1015372725255

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  • DOI: https://doi.org/10.1023/A:1015372725255

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