Pursuit-Evasion Games and Zero-sum Two-person Differential Games

Pierre Bernhard 1
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
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.
Type de document :
Chapitre d'ouvrage
Encyclopaedia of Systems and Control, Springer-Verlag, pp.8, 2015, 〈10.1007/978-1-4471-5102-9_270-1〉
Liste complète des métadonnées

Littérature citée [25 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01215556
Contributeur : Jean-Luc Gouzé <>
Soumis le : mercredi 14 octobre 2015 - 14:44:28
Dernière modification le : vendredi 12 janvier 2018 - 01:53:28
Document(s) archivé(s) le : jeudi 27 avril 2017 - 04:30:37

Fichier

NonlinearZSTPDGauthor.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité - Pas de modifications 4.0 International License

Identifiants

Collections

Citation

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〉

Partager

Métriques

Consultations de la notice

215

Téléchargements de fichiers

216