On the attainable set of differential inclusions and control systems (Q1098091)

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scientific article; zbMATH DE number 4036581
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English
On the attainable set of differential inclusions and control systems
scientific article; zbMATH DE number 4036581

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    On the attainable set of differential inclusions and control systems (English)
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    1987
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    The reachable sets of a time-dependent differential inclusion defined on a separable Banach space X are considered and some properties of the minimum-time map are proved. Under suitable hypotheses results analogous to the ones true in the finite dimensional case are given. Moreover, if X is finite dimensional a bang-bang theorem and a characterization of the attainable sets by means of the minimum-time map are obtained for multivalued inclusions satisfying additional assumptions.
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    reachable sets
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    time-dependent differential inclusion
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    separable Banach space
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    minimum-time map
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    bang-bang theorem
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