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Optimal feedback for perturbed bilinear control problems - MaRDI portal

Optimal feedback for perturbed bilinear control problems (Q1093882)

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scientific article; zbMATH DE number 4024125
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English
Optimal feedback for perturbed bilinear control problems
scientific article; zbMATH DE number 4024125

    Statements

    Optimal feedback for perturbed bilinear control problems (English)
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    1987
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    Necessary optimality conditions for an optimal control problem in infinite dimension are derived. The cost function is Lipschitzian and the state equation is a perturbation with a maximal monotone operator of a bilinear equation. The idea of the proof consists in approximating the optimal control problem by a family of smooth problems for which the necessary optimality conditions are immediate and to pass to the limit. At the end, the existence of a feedback law is proved.
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    Necessary optimality conditions
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    optimal control problem in infinite dimension
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    bilinear equation
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    existence of a feedback law
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