The transformation of the given approach problem to the approach problem "in the moment".
Ключевые слова: дифференциальные игры, преобразование игровых задач.
The problem of guidance of a conflict-controlled system onto a cylinder set is considered. This problem is compared with the problem of guidance of a transformed system onto the base of the cylinder at the last moment. It is shown that the problems considered are equivalent. Moreover, the sequences constructed by the programmed iteration method coincide for both problems.
Ключевые слова: differential games, trasnformation of control problem.SpringerLink
The game-theoretical problem of approach is under consideration. The approach problem ``by the moment'' for an autonomous conflict controlled system is transformed to the approach problem ``at the moment'' for a extended system.
A variant of a programmed iteration method (iteration of stability) is studied. A.G. Chentsov proved that the sequence of sets converge to the set of successful solvability of approach problem. The coincidence of corresponding iterations is proved; therefore the coincidence of successful solvability sets follows. It is established that if the start system satisfy the Isaacs condition then the transformed system satisfy this condition too.
Ключевые слова: differential games, trasnformation of control problem.
Nash Equilibrium
This section contains my papers devoted to the Nash Equilibrium in differential games.... |
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Stackelberg Solutions of Differential Games
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Reconstruction of Differential Games
The purpose of these papers is: by given value function find the differential game.... |
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Geometrical Properties of Differential Games
The papers devoted to continuity of stable bridges.... |
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PhD Thesis
Supervisor: professor A.G. Chentsov Date of PhD defence: October 25, 2007 г. The text of thesis is in Russian.... |
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Extremal Shift rule. Analogs
Analogs of the extremal shift rule for the case of nonstable bridge.... |
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Other
The papers are devoted to the character of the convergence of the programmed absorption mathed. The coathor is professor A.G. Chentsov.... |
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Modelling
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