Max-min controllability in pursuit games with norm-bounded controls |
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Authors: | W L Chan C W Li |
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Institution: | (1) Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong |
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Abstract: | In this article, we consider max-min controllability in linear pursuit games with norm-bounded controls. Our approach is based on the separation theorem of disjoint compact convex sets in Euclidean space. Necessary and sufficient conditions for max-min controllability are given in terms of an explicit relative controllability expression which, in a sense, is a comparison between the control capabilities of the competing parties. Minimal time and optimal norm problems are investigated. |
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Keywords: | Max-min controllability pursuit games norm-bounded controls minimal time optimal norm |
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