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Geometrical Properties of Differential Games

The papers devoted to continuity of stable bridges.

Yurii Averboukh, Geometric Properties of Successful Solvability Sets in Pursuit Game Problems // Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Tr. Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 8–15.

This paper is devoted to the study of the properties of solutions to pursuit–evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous time dependence of sections.

Ключевые слова: differential games, geometrical properties of solutions.

Yurii Averboukh (Yuriy Averbukh), On Structure of the Positional Absorption Set in the Game Problem of Pointing at a Target // DOI: 10.1615/J Automat Inf Scien.v38.i5.10, 2006.

Properties of the positional absorption set in the problem of pointing a conflictively controlled system at a set are studied. It is demonstrated, that sections of the positional absorption set in a general case depend on time discontinuously and can be disconnected even for a connected goal set.

Ключевые слова: differential games, geometrical properties of solutions.

Соседние подразделы:
Nash Equilibrium
This section contains my papers devoted to the Nash Equilibrium in differential games....
Stackelberg Solutions of Differential Games
Reconstruction of Differential Games
The purpose of these papers is: by given value function find the differential game....
Transformation of Guidance Problems
The transformation of the given approach problem to the approach problem "in the moment"....
PhD Thesis
Supervisor: professor A.G. Chentsov Date of PhD defence: October 25, 2007 г. The text of thesis is in Russian....
Extremal Shift rule. Analogs
Analogs of the extremal shift rule for the case of nonstable bridge....
Other
The papers are devoted to the character of the convergence of the programmed absorption mathed. The coathor is professor A.G. Chentsov....
Modelling

Map

The reverse Stackelberg solution of a two-person nonzero-sum differential game is considered. We assume that the leader plays in the class of nonanticipative strategies....
Открыть раздел Stackelberg Solutions of Differential Games
The papers are devoted to the character of the convergence of the programmed absorption mathed. The coathor is professor A.G. Chentsov....

Открыть раздел Other