Stability analysis of continuous-time switched systems with a random switching signal

Junlin Xiong; James Lam; Zhan Shu; Xuerong Mao

doi:10.1109/TAC.2013.2266751

Stability analysis of continuous-time switched systems with a random switching signal

Junlin Xiong, James Lam, Zhan Shu, Xuerong Mao

Mathematics And Statistics

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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.

Original language	English
Pages (from-to)	180-186
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	1
Early online date	6 Jun 2013
DOIs	https://doi.org/10.1109/TAC.2013.2266751
Publication status	Published - Jan 2014

Keywords

dwell time
random switching
stochastic stability
continuous-time switched systems
linear matrix inequalities

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Xiong-etal-AC2014-stability-analysis-of-continuous-time-switched-systemsAccepted author manuscript, 718 KB

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AB - 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 coincidewith our intuition.

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Stability analysis of continuous-time switched systems with a random switching signal

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Keywords

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