期刊
SYSTEMS & CONTROL LETTERS
卷 61, 期 1, 页码 165-172出版社
ELSEVIER
DOI: 10.1016/j.sysconle.2011.10.009
关键词
Stochastic heat equation; Markov chain; Lyapunov exponent; Stabilization; Large deviation
In this paper, we investigate a class of hybrid stochastic heat equations. By explicit formulae of solutions, we not only reveal the sample Lyapunov exponents but also discuss the pth moment Lyapnov exponents. Moreover, several examples are established to demonstrate that unstable (deterministic or stochastic) dynamical systems can be stabilized by Markovian switching. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
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