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Trudy Inst. Mat. i Mekh. UrO RAN, 2017, Volume 23, Number 1, Pages 293–305 (Mi timm1403)  

Upper and lower resolving functions in dynamic game problems

A. A. Chikrii

Glushkov Institute of Cybernetics NAS Ukraine

Abstract: The paper deals with game problems on the approach of trajectories of a nonstationary quasilinear system to a variable cylindrical terminal set. The case is studied when Pontryagin's classical condition fails. The notions of upper and lower resolving functions are introduced in the form of selections of special set-valued mappings. These functions are used to derive sufficient solvability conditions, which differ from the known ones. The results are illustrated with a model example.

Keywords: conflict-controlled process, set-valued mapping, Pontryagin's condition, Aumann's integral, resolving function.

DOI: https://doi.org/10.21538/0134-4889-2017-23-1-293-305

Full text: PDF file (216 kB)
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Bibliographic databases:

UDC: 517.977
MSC: 49N70, 91A25, 49N90, 91A23

Citation: A. A. Chikrii, “Upper and lower resolving functions in dynamic game problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 293–305

Citation in format AMSBIB
\Bibitem{Chi17}
\by A.~A.~Chikrii
\paper Upper and lower resolving functions in dynamic game problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2017
\vol 23
\issue 1
\pages 293--305
\mathnet{http://mi.mathnet.ru/timm1403}
\crossref{https://doi.org/10.21538/0134-4889-2017-23-1-293-305}
\elib{http://elibrary.ru/item.asp?id=28409387}


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