https://inria.hal.science/hal-00916864Festa, AdrianoAdrianoFestaCommands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems - CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique - X - École polytechnique - CNRS - Centre National de la Recherche Scientifique - Inria Saclay - Ile de France - Inria - Institut National de Recherche en Informatique et en AutomatiqueVinter, RichardRichardVinterDEEE - Department of Electrical and Electronic Engineering [London] - Imperial College LondonControl and Power Research Group - Imperial College LondonA decomposition technique for pursuit evasion games with many pursuersHAL CCSD2013[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]Bouzat, EstelleSensitivity Analysis for Deterministic Controller Design - SADCO - - EC:FP7:PEOPLE2011-01-01 - 2014-12-31 - 264735 - VALID - 2013-12-10 18:30:202023-03-24 14:52:582013-12-10 18:30:20enConference papers1Here 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.