Statistical characteristics of attainability set of controllable systems with random coefficients |
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Authors: | L. I. Rodina A. Kh. Khammadi |
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Affiliation: | 1. Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia
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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. |
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