Archive of Issues
Russia Izhevsk
Section  Mathematics 
Title  The space of linear control systems and its canonical representatives 
Author(s)  Tonkov E.L.^{a} 
Affiliations  Udmurt State University^{a} 
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 socalled 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 
UDC  517.917 
MSC  34D08, 93С15 
DOI  10.20537/vm120107 
Received  1 February 2012 
Language  Russian 
Citation  Tonkov E.L. The space of linear control systems and its canonical representatives, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 1, pp. 6076. 
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