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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 69–76
(Mi ivm7867)
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This article is cited in 8 scientific papers (total in 8 papers)
Sets invariant under an integral constraint on controls
M. Tukhtasinova, U. Ibragimovb a National University of Uzbekistan, Tashkent, Republic of Uzbekistan
b Chair of Information Science, South Kazakhstan State University, Shymkent, Republic of Kazakhstan
Abstract:
In this paper we study the invariance of given sets with respect to a system with distributed parameters. The considered system is described by a heat conductivity equation whose right-hand side written in the additive form contains a control. For the initial data we obtain sufficient conditions for the strong and weak invariance of the set that represents the graph of a given multivalued mapping.
Keywords:
control, weak invariance, strong invariance, concentrated parameters.
Received: 27.04.2010
Citation:
M. Tukhtasinov, U. Ibragimov, “Sets invariant under an integral constraint on controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 69–76; Russian Math. (Iz. VUZ), 55:8 (2011), 59–65
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https://www.mathnet.ru/eng/ivm7867 https://www.mathnet.ru/eng/ivm/y2011/i8/p69
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Abstract page: | 381 | Full-text PDF : | 118 | References: | 50 | First page: | 2 |
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