Estimates of Convergence of Fully Discrete Schemes for the Isaacs Equation of Pursuit-Evasion Differential Games Via Maximum Principle

DOI10.1137/S0363012995291865zbMath0947.65077OpenAlexW2083788097WikidataQ115246803 ScholiaQ115246803MaRDI QIDQ4388900

Publication date: 10 May 1998

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012995291865

zbMATH Keywords

convergence Dirichlet problem viscosity solutions Isaacs equations pursuit-evasion differential games

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Discrete approximations in optimal control (49M25) Pursuit and evasion games (49N75)

Related Items (7)

NUMERICAL ANALYSIS OF A MINIMAX OPTIMAL CONTROL PROBLEM WITH AN ADDITIVE FINAL COST ⋮ An Efficient Filtered Scheme for Some First Order Time-Dependent Hamilton--Jacobi Equations ⋮ Initialization of the shooting method via the Hamilton-Jacobi-Bellman approach ⋮ Hamilton–Jacobi–Bellman Equations ⋮ Reconstruction of independent sub-domains for a class of Hamilton–Jacobi equations and application to parallel computing ⋮ NUMERICAL METHODS FOR DIFFERENTIAL GAMES BASED ON PARTIAL DIFFERENTIAL EQUATIONS ⋮ Higher order discrete controllability and the approximation of the minimum time function

This page was built for publication: Estimates of Convergence of Fully Discrete Schemes for the Isaacs Equation of Pursuit-Evasion Differential Games Via Maximum Principle