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Max-min controllability in pursuit games with norm-bounded controls

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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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Communicated by G. Leitmann

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Chan, W.L., Li, C.W. Max-min controllability in pursuit games with norm-bounded controls. J Optim Theory Appl 37, 89–113 (1982). https://doi.org/10.1007/BF00934368

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