Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations

Abstract

In this paper we study the boundary value problem for the Hamilton-Jacobi-Isaacs equation of pursuit-evasion differential games with state constraints. We prove existence of a continuous viscosity solution and a comparison theorem that we apply to establish uniqueness of such a solution and its uniform approximation by solutions of discretized equations.

Identifiers

DOI

10.3934/dcds.2000.6.361

Citations and references