Geodesic
Statistical characteristics of attainability set of controllable systems with random coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 50-63.

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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. 
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L. I. Rodina; A. Kh. Khammadi. Statistical characteristics of attainability set of controllable systems with random coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 50-63. http://geodesic.mathdoc.fr/item/IVM_2014_11_a5/

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