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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 99–105
(Mi iimi308)
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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.
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
Linking options:
https://www.mathnet.ru/eng/iimi308 https://www.mathnet.ru/eng/iimi/y2015/i2/p99
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