A decomposition technique for pursuit evasion games with many pursuers

Adriano Festa 1 Richard Vinter 2, 3
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : Here we present a decomposition technique for a class of differential games. The technique consists in a decomposition of the target set which produces, for geometrical reasons, a decomposition in the dimensionality of the problem. Using some elements of Hamilton-Jacobi equations theory, we find a relation between the regularity of the solution and the possibility to decompose the problem. We use this technique to solve a pursuit evasion game with multiple agents.
Type de document :
Communication dans un congrès
52nd IEEE Control and Decision Conference (CDC), 2013, Florence, Italy. 2013, Proceedings of the 52nd IEEE Control and Decision Conference (CDC)
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https://hal.inria.fr/hal-00916864
Contributeur : Estelle Bouzat <>
Soumis le : mardi 10 décembre 2013 - 18:30:20
Dernière modification le : jeudi 10 mai 2018 - 02:05:52

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  • HAL Id : hal-00916864, version 1
  • ARXIV : 1302.6431

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Adriano Festa, Richard Vinter. A decomposition technique for pursuit evasion games with many pursuers. 52nd IEEE Control and Decision Conference (CDC), 2013, Florence, Italy. 2013, Proceedings of the 52nd IEEE Control and Decision Conference (CDC). 〈hal-00916864〉

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