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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 3, Pages 38–49 (Mi ivm1242)  
This article is cited in 7 scientific papers (total in 7 papers)

Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system

Yu. V. Masterkov, L. I. Rodina

Udmurt State University
Full-text PDF (258 kB) Citations (7)
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Abstract: We obtain sufficient conditions for the existence of a nonanticipating control for linear systems with stationary random parameters. We consider the case of a bounded control and an arbitrary number of system states. We estimate the probability that the system is nonanticipatingly locally controllable on a fixed time interval. We formulate the main assertions in terms of Lyapunov functions, choosing the latter in the class of piecewise continuously differentiable functions.
Keywords: control systems, local controllability, Lyapunov functions, nonanticipating control.
Received: 31.08.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 3, Pages 34–44
DOI: https://doi.org/10.3103/S1066369X08030043
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: Yu. V. Masterkov, L. I. Rodina, “Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 3, 38–49; Russian Math. (Iz. VUZ), 52:3 (2008), 34–44
Citation in format AMSBIB
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\by Yu.~V.~Masterkov, L.~I.~Rodina
\paper Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 3
\pages 38--49
\mathnet{http://mi.mathnet.ru/ivm1242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2444079}
\zmath{https://zbmath.org/?q=an:1157.93322}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 3
\pages 34--44
\crossref{https://doi.org/10.3103/S1066369X08030043}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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