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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, Issue 1, Pages 60–76
(Mi vuu311)
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MATHEMATICS
The space of linear control systems and its canonical representatives
E. L. Tonkov Department of Differential Equations, Udmurt State University, Izhevsk, Russia
Abstract:
The space of linear control systems that are parameterized with the help of a topological dynamical system is considered. For each invariant space (with respect to a flow in the dynamical system phase space) there are constructed its extension and the corresponding Perron transformation that reduces a given family of systems to the so-called canonical system. It is also proved that for minimal invariant spaces the Perron transformation possesses the recurrence property.
Keywords:
linear control systems, controllability space, the Perron transformation, dynamical systems.
Received: 01.02.2012
Citation:
E. L. Tonkov, “The space of linear control systems and its canonical representatives”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 1, 60–76
Linking options:
https://www.mathnet.ru/eng/vuu311 https://www.mathnet.ru/eng/vuu/y2012/i1/p60
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Abstract page: | 377 | Full-text PDF : | 204 | References: | 51 | First page: | 1 |
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