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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, Issue 1, Pages 60–76 (Mi vuu311)  

MATHEMATICS

The space of linear control systems and its canonical representatives

E. L. Tonkov

Department of Differential Equations, Udmurt State University, Izhevsk, Russia
References:
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
Document Type: Article
UDC: 517.917
MSC: 34D08, 93С15
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Ton12}
\by E.~L.~Tonkov
\paper The space of linear control systems and its canonical representatives
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2012
\issue 1
\pages 60--76
\mathnet{http://mi.mathnet.ru/vuu311}
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    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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