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 15â29 (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
The full version of the paper about differential games reconstruction
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
Ключевые слова: differential games, reconstruction, inverse problem.
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.
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Paper in Russian
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