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Conference Papers Year : 2013

A decomposition technique for pursuit evasion games with many pursuers

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.

Dates and versions

hal-00916864 , version 1 (10-12-2013)

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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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