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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 50–63 (Mi ivm8949)  
This article is cited in 6 scientific papers (total in 6 papers)

Statistical characteristics of attainability set of controllable systems with random coefficients

L. I. Rodina, A. Kh. Khammadi

Chair of Mathematical Analysis, Udmurt State University, 1 Universitetskaya str., Izhevsk, 426034 Russia
Full-text PDF (261 kB) Citations (6)
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Abstract: For controllable systems with random coefficients we study a property of statistical invariance, satisfied with given probability. We obtain sufficient conditions for invariance of a set with respect to controllable system expressed in terms of Lyapunov functions and shift dynamic system. We study the statistical characteristics of attainability set of a controllable system which is parameterized by metric dynamic system.
Keywords: controllable systems, dynamic systems, differential inclusions, statistically invariant sets.
Received: 14.06.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 43–53
DOI: https://doi.org/10.3103/S1066369X14110061
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. I. Rodina, A. Kh. Khammadi, “Statistical characteristics of attainability set of controllable systems with random coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 50–63; Russian Math. (Iz. VUZ), 58:11 (2014), 43–53
Citation in format AMSBIB
\Bibitem{RodHam14}
\by L.~I.~Rodina, A.~Kh.~Khammadi
\paper Statistical characteristics of attainability set of controllable systems with random coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 50--63
\mathnet{http://mi.mathnet.ru/ivm8949}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 43--53
\crossref{https://doi.org/10.3103/S1066369X14110061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910144628}
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    • This publication is cited in the following 6 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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