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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 290–301
(Mi timm444)
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This article is cited in 30 scientific papers (total in 30 papers)
On linear differential games with integral constraints
A. A. Chikrii, A. A. Belousov Institute of Cybernetics NAS Ukraine
Abstract:
Pursuit game problems for linear systems with integral constraints for controls are studied. The proposed scheme uses the ideas of the method of resolving functions. An analog of the Pontryagin condition is formulated, which makes it possible to establish sufficient conditions for the termination of the differential game in some guaranteed time by using the measurable choice theorem for constructing the pursuer's control. The obtained results are illustrated by typical examples of game situations: simple motion and Pontryagin's test case.
Keywords:
differential game, pursuit game, integral constraint, set-valued mapping, resolving function.
Received: 29.04.2009
Citation:
A. A. Chikrii, A. A. Belousov, “On linear differential games with integral constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 290–301; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S69–S80
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https://www.mathnet.ru/eng/timm444 https://www.mathnet.ru/eng/timm/v15/i4/p290
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Abstract page: | 765 | Full-text PDF : | 273 | References: | 106 | First page: | 8 |
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