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Universal control system for a parametric family of differential games. (English. Russian original) Zbl 1417.91115
Differ. Equ. 55, No. 1, 120-125 (2019); translation from Differ. Uravn. 55, No. 1, 117-122 (2019).
Summary: We find a class of practically important differential games where several most important parameters any change in which significantly changes the functional form of the original differential game can nevertheless be varied broadly without affecting the structure (or principle) of the players’ optimal behavior. We use a new method for solving differential games based on the decomposition of the original game into finitely many local static games.
MSC:
91A23 Differential games (aspects of game theory)
49N70 Differential games and control
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References:
[1] Smol’yakov, E. R., New notions of conflict equilibria and differential games, Differ. Equations, 49, 1444-1455, (2013) · Zbl 1296.49036
[2] Smol’yakov, E.R., Teoriya konfliktnykh ravnovesii (Theory of Conflict Equilibria), Moscow: URSS, 2005.
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