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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 3, Pages 28–37
DOI: https://doi.org/10.26907/0021-3446-2022-3-28-37 (Mi ivm9757) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complete solution of a class of differential pursuit games with integral constraint and impulse control

N. A. Mamadalievab, B. Kh. Khayitkulova

a National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan
b Romanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 81 Mirzo Ulugvek Ave., Tashkent, 100170 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2022-3-28-37
Abstract: In this paper, we consider one class of differential games, for which, using the method of resolving functions, we have finally solved the problem of the possibility or impossibility of catching the evader from a given initial point by the pursuer. In this case, an integral constraint is imposed on the controls of the pursuer, and the control of the evader has an impulsive character, and it is represented using a generalized Dirac function.
Keywords: capture, pursuer, evader, impulsive control, integrated constraint, resolving function.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan ОТ-Ф4-33
Received: 21.05.2021
Revised: 05.10.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 3, Pages 22–29
DOI: https://doi.org/10.3103/S1066369X22030069
Document Type: Article
UDC: 517.97
Language: Russian
Citation: N. A. Mamadaliev, B. Kh. Khayitkulov, “Complete solution of a class of differential pursuit games with integral constraint and impulse control”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3, 28–37; Russian Math. (Iz. VUZ), 66:3 (2022), 22–29
Citation in format AMSBIB
\Bibitem{MamKha22}
\by N.~A.~Mamadaliev, B.~Kh.~Khayitkulov
\paper Complete solution of a class of differential pursuit games with integral constraint and impulse control
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 3
\pages 28--37
\mathnet{http://mi.mathnet.ru/ivm9757}
\crossref{https://doi.org/10.26907/0021-3446-2022-3-28-37}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 3
\pages 22--29
\crossref{https://doi.org/10.3103/S1066369X22030069}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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