A differential game of unlimited duration

DOI10.1016/0021-8928(87)90077-3zbMath0664.90104OpenAlexW2091580027MaRDI QIDQ1115825

R. A. Adiatulina, Alexander Tarasyev

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90077-3

zbMATH Keywords

discrete approximationdifferential inequalitiesvalue functiondirectional derivativecontinuous-timeconjugate derivativesdepreciating performance functionalstationary Hamilton-Jacobi equationunlimited durationviscous solutions

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

The solution of evolutionary games using the theory of Hamilton-Jacobi equations, Numerical methods for construction of value functions in optimal control problems on an infinite horizon, Approximation and regular perturbation of optimal control problems via Hamilton-Jacobi theory, Differential games, partial-state stabilization, and model reference adaptive control, Stability properties of the value function in an infinite horizon optimal control problem, Estimate for the accuracy of a backward procedure for the Hamilton-Jacobi equation in an infinite-horizon optimal control problem

Cites Work

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