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Type: Artigo de periódico
Title: Unique Winning Policies For Linear Differential Pursuit Games
Author: Rechtschaffen E.E.M.
Abstract: We study optimal control problems which are the duals, in a specified sense, to a certain class of linear differential games. Directly verifiable conditions, in terms of the data of the game, for uniqueness of solutions of the dual problem and thus for uniqueness of winning policies for the differential game, are derived. As a byproduct, in the particular context of two-dimensional problems, a strong result concerning normality is obtained. As a second byproduct, several geometrical and topological properties of the star difference are derived. This set operation is of paramount importance for the study of rich classes of differential and difference games extending far beyond that treated here. © 1979 Plenum Publishing Corporation.
Editor: Kluwer Academic Publishers-Plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/BF00934455
Date Issue: 1979
Appears in Collections:Unicamp - Artigos e Outros Documentos

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