Limit Hamilton-Jacobi–Isaacs Equations for Singularly Perturbed Zero-Sum Dynamic (Dicrete Time) Games

Peng Shi

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

Crynodeb

In this paper we study a singularly perturbed zero-sum dynamic game with full information. We introduce the upper (lower) value function of the dynamic game, in which the minimizer (maximizer) can be guaranteed if at the beginning of each interval his move (the choice of decision) precedes the move of the maximizer (minimizer). We show that when the singular perturbations parameter tends to zero, the upper (lower) value function of the dynamic game has a limit which coincides with a viscosity solution of a Hamilton–Jacobi–Isaacs-type equation. Two examples are given to demonstrate the potential of the proposed technique.
Iaith wreiddiolSaesneg
Tudalennau (o-i)1037 - 1053
Nifer y tudalennau16
CyfnodolynSIAM Journal of Control and Optimization
Cyfrol41
Rhif cyhoeddi3
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 30 Meh 2002

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