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arXiv · 1307.2350

Stability Analysis of Continuous-Time Switched Systems with a Random Switching Signal

Junlin Xiong·James Lam·Zhan Shu·Xuerong Mao
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Abstract

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition.

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Junlin Xiong, James Lam, Zhan Shu, Xuerong Mao. 2013-07-09. Stability Analysis of Continuous-Time Switched Systems with a Random Switching Signal. https://doi.org/10.1109/tac.2013.2266751

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