Stability analysis for continuous-time switched systems with stochastic switching signals

Wu, Xiaotai and Tang, Yang and Cao, Jinde and Mao, Xuerong (2017) Stability analysis for continuous-time switched systems with stochastic switching signals. IEEE Transactions on Automatic Control. ISSN 0018-9286

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    Abstract

    This paper is concerned with the stability problem of randomly switched systems. By using the probability analysis method, the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching and renewal process switching signals, respectively. Two examples are presented to demonstrate the effectiveness of the proposed results, in which an example of consensus of multi-agent systems with nonlinear dynamics is taken into account.