Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/111602
Title: On Properties of one Functional Used in Software Constructions for Solving Differential Games
Other Titles: О свойствах одного функционала, используемого в программных конструкциях решения дифференциальных игр
Authors: Chentsov, A. G.
Issue Date: 2021
Publisher: Udmurt State University
Udmurt State University
Citation: Chentsov A. G. On Properties of one Functional Used in Software Constructions for Solving Differential Games [О свойствах одного функционала, используемого в программных конструкциях решения дифференциальных игр] / A. G. Chentsov // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. — 2021. — Vol. 31. — Iss. 4. — P. 668-696.
Abstract: Nonlinear differential game (DG) is investigated; relaxations of the game problem of guidance are investigated also. The variant of the program iterations method realized in the space of position functions and delivering in limit the value function of the minimax-maximin DG for special functionals of a trajectory is considered. For every game position, this limit function realizes the least size of the target set neighborhood for which, under proportional weakening of phase constraints, the player interested in a guidance yet guarantees its realization. Properties of above-mentioned functionals and limit function are investigated. In particular, sufficient conditions for realization of values of given function under fulfilment of finite iteration number are obtained. © 2021 Udmurt State University. All rights reserved.
Keywords: DIFFERENTIAL GAME
PROGRAM ITERATION METHOD
VALUE FUNCTION
URI: http://hdl.handle.net/10995/111602
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85123406913
PURE ID: 29308402
ISSN: 1994-9197
metadata.dc.description.sponsorship: The study was funded by the Russian Foundation for Basic Research (project No. 19-01-00573)
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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