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. 
@article{IVM_2014_11_a5,
     author = {L. I. Rodina and A. Kh. Khammadi},
     title = {Statistical characteristics of attainability set of controllable systems with random coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {50--63},
     publisher = {mathdoc},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a5/}
}
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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/