Approximation schemes for solving disturbed control problems with non-terminal time and state constraints

DOI10.1524/anly.2011.1122zbMath1235.49073OpenAlexW1995185948MaRDI QIDQ3111542

Nikolai D. Botkin, Natalie Mayer, Karl-Heinz Hoffmann, Varvara L. Turova

Publication date: 18 January 2012

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2011.1122

zbMATH Keywords

differential gamesHamilton-Jacobi equationsviscosity solutionsnon-terminal payoff functionals

Mathematics Subject Classification ID

Differential games and control (49N70) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Discrete approximations in optimal control (49M25) Hamilton-Jacobi equations (35F21)

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Cites Work

• Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
• Generalization of the main equation of differential game theory
• An efficient algorithm for Hamilton-Jacobi equations in high dimension
• The game of two identical cars
• Stable Numerical Schemes for Solving Hamilton–Jacobi–Bellman–Isaacs Equations
• Two approximations of solutions of Hamilton-Jacobi equations
• Approximation schemes for finding the value functions for differential games with nonterminal payoff functional

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