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Contingent Isaacs equations of a differential game

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Differential Games and Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 119))

Abstract

The purpose of this paper is to characterize classical and lower semicontinuous solutions to the Hamilton-Jacobi-Isaacs partial differential equations associated with a differential game and, in particular, characterize closed subsets the indicators of which are solutions to these equations. For doing so, we replace the classical concept of derivative by contingent epiderivative, which can apply to any function. The use of indicator of subsets which are solutions of either one of the contingent Isaac allows to characterize areas of the playability set in which some behavior (playability, winability, etc.) of the players can be achieved.

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Authors and Affiliations

  1. Ceremade, Université de Paris-Dauphine, France

    Jean-Pierre Aubin

Authors
  1. Jean-Pierre Aubin
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Tamer S. Başar Pierre Bernhard

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© 1989 Springer-Verlag

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Aubin, JP. (1989). Contingent Isaacs equations of a differential game. In: Başar, T.S., Bernhard, P. (eds) Differential Games and Applications. Lecture Notes in Control and Information Sciences, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004262

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  • DOI: https://doi.org/10.1007/BFb0004262

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50758-1

  • Online ISBN: 978-3-540-46079-4

  • eBook Packages: Springer Book Archive

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