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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
UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
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.
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https://hal.inria.fr/hal-00916864
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 10, 2013 - 6:30:20 PM
Last modification on : Wednesday, July 15, 2020 - 2:00:12 PM

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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. ⟨hal-00916864⟩

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