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

Xiaotai Wu; Yang Tang; Jinde Cao; Xuerong Mao

doi:10.1109/TAC.2017.2779882

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

Xiaotai Wu
, Yang Tang
, Jinde Cao
, Xuerong Mao

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

187 Citations (Scopus)

151 Downloads (Pure)

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.

Original language	English
Journal	IEEE Transactions on Automatic Control
DOIs	https://doi.org/10.1109/TAC.2017.2779882
Publication status	Published - 5 Dec 2017

Keywords

switched systems
stability criteria
semi-Markovian switching
renewal process
Markov processes

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10.1109/TAC.2017.2779882

We-etal-TAC-2017-Stability-analysis-for-continuous-time-switched-systems-with-stochastic-switching-signalsAccepted author manuscript, 371 KB

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N2 - 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.

AB - 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.

KW - switched systems

KW - stability criteria

KW - semi-Markovian switching

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KW - Markov processes

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

ER -

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

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