Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of system states |
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Authors: | Yu. V. Masterkov L. I. Rodina |
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Affiliation: | (1) Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia |
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Abstract: | 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. |
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Keywords: | control systems local controllability Lyapunov functions nonanticipating control |
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