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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 111–113 (Mi iimi53)  
Statistical characteristics of attainable set of controllable systems

L. I. Rodina

Udmurt State University, Izhevsk
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Abstract: We research the invariant and statistically invariant sets of the controllable systems. For definition of statistically invariant set, we introduce and research such characteristics as the relative frequency, the upper and lower relative frequences of occurence of the attainable set of a controllable system in some given set.
Keywords: controllable systems, dynamical systems, differential inclusions, invariant and statistically invariant sets.
Received: 15.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.911+517.935
MSC: 34A60, 37N35, 49J15, 93B03
Language: Russian
Citation: L. I. Rodina, “Statistical characteristics of attainable set of controllable systems”, Izv. IMI UdGU, 2012, no. 1(39), 111–113
Citation in format AMSBIB
\Bibitem{Rod12}
\by L.~I.~Rodina
\paper Statistical characteristics of attainable set of controllable systems
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 111--113
\mathnet{http://mi.mathnet.ru/iimi53}
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