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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 4, Pages 23–39
(Mi vuu294)
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This article is cited in 21 scientific papers (total in 21 papers)
MATHEMATICS
Approximations of attainability sets and of integral funnels of differential inclusions
V. N. Ushakov, A. R. Matviichuk, A. V. Ushakov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
Abstract:
The paper is devoted to differential inclusions (DI) on finite time intervals. We consider some questions of computation of attainable sets for DI. The above sets are rarely describable analytically in an effective way though, often, there is a necessity for their computation, for example, in control theory, in which the above computation is a stimulus to develop methods and algorithms used to approximately compute attainable sets.
Keywords:
attainability sets, integral funnel, differential inclusion.
Received: 12.10.2011
Citation:
V. N. Ushakov, A. R. Matviichuk, A. V. Ushakov, “Approximations of attainability sets and of integral funnels of differential inclusions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 23–39
Linking options:
https://www.mathnet.ru/eng/vuu294 https://www.mathnet.ru/eng/vuu/y2011/i4/p23
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Abstract page: | 692 | Full-text PDF : | 325 | References: | 76 | First page: | 1 |
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