Geodesic
Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2008), pp. 38-49

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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. 
@article{IVM_2008_3_a3,
     author = {Yu. V. Masterkov and L. I. Rodina},
     title = {Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {38--49},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_3_a3/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2008), pp. 38-49. http://geodesic.mathdoc.fr/item/IVM_2008_3_a3/