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On the maximum principle for time-optimal controls for a class of distributed-boundary control problems - MaRDI portal

On the maximum principle for time-optimal controls for a class of distributed-boundary control problems (Q791863)

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scientific article; zbMATH DE number 3851872
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On the maximum principle for time-optimal controls for a class of distributed-boundary control problems
scientific article; zbMATH DE number 3851872

    Statements

    On the maximum principle for time-optimal controls for a class of distributed-boundary control problems (English)
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    1985
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    In this note, we present the necessary conditions of optimality for time- optimal controls for a class of distributed-boundary control problems in general Banach spaces using the semigroup theory. Theorem 3.1 is based on a recent general maximum principle due to Barbu, which was proved for strictly convex reflexive Banach spaces. Theorem 3.2 generalizes this result (for time-optimal control problems) by lifting the assumption.
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    bang-bang principle
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    distributed-boundary control
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    maximum principle
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    time-optimal control
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