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Eurasian Mathematical Journal, 2014, Volume 5, Number 4, Pages 70–78
(Mi emj175)
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This article is cited in 1 scientific paper (total in 1 paper)
Invariant sets of control systems with distributed parameters with time delay
U. Ibragimov Department of Computer science, M. Auezov South-Kazakhstan State University, 5 Tauke Khan Av.,
160000 Shymkent, Kazakhstan
Abstract:
In this paper we consider the problem of finding conditions ensuring that a given set is strong or weak invariant with respect to control system with time delay. System is described by heat conductivity equation in right-hand side of which there is the control in additive form. Necessary and sufficient conditions were obtained for the invariance of a given set under a geometric restriction and sufficient conditions under an integral restriction. The given conditions differ from results for the control with time delay obtained earlier.
Keywords and phrases:
optimal control, invariant sets, time delay, systems with distributed parameters.
Received: 21.02.2013
Citation:
U. Ibragimov, “Invariant sets of control systems with distributed parameters with time delay”, Eurasian Math. J., 5:4 (2014), 70–78
Linking options:
https://www.mathnet.ru/eng/emj175 https://www.mathnet.ru/eng/emj/v5/i4/p70
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Abstract page: | 201 | Full-text PDF : | 78 | References: | 42 |
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