An approach-evasion differential game: stochastic guide

DOI10.1134/S0081543810060167zbMath1250.49039OpenAlexW2048833891MaRDI QIDQ643772

A. N. Kotel'nikova, N. N. Krasovskii

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810060167

zbMATH Keywords

Lyapunov functionstrategyIto equationapproach-evasion alternativeprobabilistic process

Mathematics Subject Classification ID

Differential games and control (49N70) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (11)

Nikolai Nikolaevich Krasovskii (on the 90th anniversary of his birth) ⋮ Approximation of value function of differential game with minimal cost ⋮ Differential game with discrete stopping time ⋮ Approximate Public-Signal Correlated Equilibria for Nonzero-Sum Differential Games ⋮ Extremal shift rule for continuous-time zero-sum Markov games ⋮ Problems of conflict control ⋮ Optimal systems of a combination of control and observation ⋮ The evasion problem in nonstationary differential games ⋮ On a sufficient condition for nonlinear position games of encounter ⋮ The game problem on the delichobrachistochrone ⋮ Approximate capture in Gromov-Hausdorff close spaces

Cites Work

• Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria
• Stochastic stability and control
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