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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 101–112
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-101-112 (Mi timm1295) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Existence of the value and saddle point in positional differential games for neutral-type systems

M. I. Gomoyunovab, N. Yu. Lukoyanovba, A. R. Plaksinab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (206 kB) Citations (18)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-101-112
Abstract: For a conflict-controlled dynamical system described by functional differential equations of neutral type in Hale's form, we consider a differential game with a quality index that estimates the motion history realized up to the terminal time and includes an integral estimation of realizations of the players' controls. The game is formalized in the class of pure positional strategies. The main result is a proof of the existence of the value and saddle point in this game.
Keywords: neutral type systems, control theory, differential games.
Funding agency Grant number
Russian Science Foundation 15-11-10018
Received: 25.12.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 37–48
DOI: https://doi.org/10.1134/S0081543817090061
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N70
Language: Russian
Citation: M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin, “Existence of the value and saddle point in positional differential games for neutral-type systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 101–112; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 37–48
Citation in format AMSBIB
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\paper Existence of the value and saddle point in positional differential games for neutral-type systems
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    • This publication is cited in the following 18 articles:
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