Abstract : Differential games arose from the investigation, by Rufus Isaacs in the 50's, of pursuit-evasion problems. In these problems, closed-loop strategies are of the essence, although defining what is exactly meant by this phrase, and what is the Value of a differential game, is difficult. For closed-loop strategies, there is no such thing as a " two-sided Maximum Principle " , and one must resort to the analysis of Isaacs' equation, a Hamilton Jacobi equation. The concept of viscosity solutions of Hamilton-Jacobi equations has helped solve several of these issues.
https://hal.inria.fr/hal-01215556
Contributeur : Jean-Luc Gouzé
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Soumis le : mercredi 14 octobre 2015 - 14:44:28
Dernière modification le : jeudi 22 novembre 2018 - 15:04:54
Document(s) archivé(s) le : jeudi 27 avril 2017 - 04:30:37
Pierre Bernhard. Pursuit-Evasion Games and Zero-sum Two-person Differential Games. Encyclopaedia of Systems and Control, Springer-Verlag, pp.8, 2015, 〈10.1007/978-1-4471-5102-9_270-1〉. 〈hal-01215556〉
