The solution infinite horizon noncooperative differential game with nonlinear dynamics without the Hamilton-Jacobi-Bellman equation

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dc.creatorFoukzon, Jaykov
dc.date2009-01-10
dc.date2009-01-31
dc.date.accessioned2026-07-07T12:35:47Z
dc.date.available2026-07-07T12:35:47Z
dc.descriptionFor a non-cooperative m-persons differential game, the value functions ofthe various players satisfy a system of Hamilton-Jacobi-Bellman equations.Nashequilibrium solutions in feedback form can be obtained by studying a related system of P.D.E's.A new approach, which is proposed in this paper allows one to construct the feedback optimal control and cost functions J_i(t,x),i=1,...,m directly,i.e.,without any reference to the corresponding Hamilton-Jacobi-Bellman equations.
dc.description65pages
dc.identifierhttps://arxiv.org/abs/0901.1383
dc.identifierhttp://arxiv.org/abs/0901.1383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217879
dc.subjectOptimization and Control
dc.titleThe solution infinite horizon noncooperative differential game with nonlinear dynamics without the Hamilton-Jacobi-Bellman equation
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