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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 91–94
DOI: https://doi.org/10.31857/S2686954320010233 (Mi danma42) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Inequalities for subgradients of a value functional in differential games for time-delay systems

N. Yu. Lukoyanovab, A. R. Plaksinba

a N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russian Federation
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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DOI: https://doi.org/10.31857/S2686954320010233
Abstract: A two-person zero-sum positional differential game is considered in which the motion of a dynamical system is described by a nonlinear delay equation and the initial motion history is determined by a piecewise continuous function. Inequalities for directional derivatives of the value functional and inequalities for its sub- and supergradients are obtained.
Keywords: differential games, time-delay systems, Hamilton–Jacobi equations, invariant derivatives, subdifferentials, minimax solutions, viscosity solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-3566.2019.1
This work was supported by a grant from the President of the Russian Federation for the state support of young Russian scientists, MK-3566.2019.1.
Received: 14.06.2019
Revised: 14.06.2019
Accepted: 09.12.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 76–79
DOI: https://doi.org/10.1134/S1064562420010238
Bibliographic databases:
Document Type: Article
UDC: 517.952,517.977
Language: Russian
Citation: N. Yu. Lukoyanov, A. R. Plaksin, “Inequalities for subgradients of a value functional in differential games for time-delay systems”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 91–94; Dokl. Math., 101:1 (2020), 76–79
Citation in format AMSBIB
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\paper Inequalities for subgradients of a value functional in differential games for time-delay systems
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\transl
\jour Dokl. Math.
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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