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Izv. IMI UdGU, 2015, Issue 2(46), Pages 99–105 (Mi iimi308)  

Statistical characteristics of control systems with impulsive action

Ya. Yu. Larina

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

Abstract: We consider the control systems with impulsive action at fixed time moments. We get estimations of statistical characteristics such as upper and lower relative frequency of entering solutions to a predetermined set. We also obtain the conditions under which the set is statistically invariant or statistically weakly invariant with respect to the control system with impulsive effect.

Keywords: control systems, attainability set, differential inclusions, statistical characteristics.

Full text: PDF file (187 kB)
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UDC: 517.977
MSC: 34A60, 37N35
Received: 28.09.2015

Citation: Ya. Yu. Larina, “Statistical characteristics of control systems with impulsive action”, Izv. IMI UdGU, 2015, no. 2(46), 99–105

Citation in format AMSBIB
\Bibitem{Lar15}
\by Ya.~Yu.~Larina
\paper Statistical characteristics of control systems with impulsive action
\jour Izv. IMI UdGU
\yr 2015
\issue 2(46)
\pages 99--105
\mathnet{http://mi.mathnet.ru/iimi308}
\elib{http://elibrary.ru/item.asp?id=25030030}


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  • Известия Института математики и информатики Удмуртского государственного университета
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