TY - JOUR
T1 - Pursuit-evasion games with state constraints
T2 - Dynamic programming and discrete-time approximations
AU - Bardi, Martino
AU - Koike, Shigeaki
AU - Soravia, Pierpaolo
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2000/4
Y1 - 2000/4
N2 - 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.
AB - 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.
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U2 - 10.3934/dcds.2000.6.361
DO - 10.3934/dcds.2000.6.361
M3 - Article
AN - SCOPUS:0034380911
SN - 1078-0947
VL - 6
SP - 361
EP - 380
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
IS - 2
ER -