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Avtomatika i Telemekhanika, 2013, Issue 1, Pages 17–34
(Mi at4283)
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This article is cited in 5 scientific papers (total in 5 papers)
Linear Systems
On a differential game with integral and phase constraints
A. Sh. Kuchkarov Institute of Mathematics at the Uzbekistan National University, Tashkent, Uzbekistan
Abstract:
Consideration is given to a differential game on the plane when the moves of a pursuer and a running away are described by equations of the simple move, and integral constraints are imposed on control functions. In the process of the game the pursuer moves within the prescribed closed convex subset of the plane and the running away moves along its boundary. In the case when the running away has an advantage of resources, the development is made of the runaway strategy that affords the lower bound for the distance between the players. In the case when the pursuer has an advantage of resources, for any initial positions of the players the optimal time of pursuit is found and optimal strategies of the players are set up.
Citation:
A. Sh. Kuchkarov, “On a differential game with integral and phase constraints”, Avtomat. i Telemekh., 2013, no. 1, 17–34; Autom. Remote Control, 74:1 (2013), 12–25
Linking options:
https://www.mathnet.ru/eng/at4283 https://www.mathnet.ru/eng/at/y2013/i1/p17
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Statistics & downloads: |
Abstract page: | 496 | Full-text PDF : | 70 | References: | 48 | First page: | 26 |
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