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Reconstruction of Differential Games

The purpose of these papers is: by given value function find the differential game.

Yurii Averboukh, Differential games with a given value function // Trudy Inst. Mat. i Mekh. UrO RAN, 2009, Volume 15, Number 1, Pages 15–29 (Mi timm201).

The publication on the reconstruction of differential games in Russian. The full version is in Arxiv. See below.

Ключевые слова: differential games, reconstruction, inverse problem.

Averboukh Yu., On a Structure of the Set of Differential Games Values // arXiv:0811.1747v1, 2008.

The full version of the paper about differential games reconstruction

arXiv:0811.1747v1

Ключевые слова: дифференциальные игры, реконструкция управляемых систем.

Yurii Averboukh, On a certain method for constructing a conflict-control system with given properties // Journal of Mathematical Sciences, Volume 157, Number 3, 424-432, DOI: 10.1007/s10958-009-9323-4, 2008, 2009 (in English).

The author suggests a method for constructing a differential game with given successful solvability set of the guidance problem. By using this method, it is shown that the sections of the successful solvability set can be sufficiently irregular: the sections of the successful solvability set can discontinuously depend on time, and they can be disconnected sets even in the case where the terminal set is connected. Also, the author obtains a sufficient condition for the continuous dependence of sections of the successful solvability sets on time.

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 53, Suzdal Conference-2006, Part 1, 2008.


Ключевые слова: differential games, reconstruction, inverse problem.

Соседние подразделы:
Nash Equilibrium
This section contains my papers devoted to the Nash Equilibrium in differential games....
Stackelberg Solutions of Differential Games
Geometrical Properties of Differential Games
The papers devoted to continuity of stable bridges....
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....

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