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arXiv · 1302.6431

A decomposition technique for pursuit evasion games with many pursuers

Adriano Festa·Richard B. Vinter
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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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Adriano Festa, Richard B. Vinter. 2013-02-26. A decomposition technique for pursuit evasion games with many pursuers. https://arxiv.org/abs/1302.6431

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