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

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Xiong, Junlin and Lam, James and Shu, Zhan and Mao, Xuerong (2014) Stability analysis of continuous-time switched systems with a random switching signal. IEEE Transactions on Automatic Control, 59 (1). pp. 180-186. ISSN 0018-9286 (https://doi.org/10.1109/TAC.2013.2266751)

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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.

ORCID iDs

Xiong, Junlin, Lam, James, Shu, Zhan and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:49154
    Dates:
    Date
    Event
    January 2014
    Published
    6 June 2013
    Published Online
    Notes:(c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
    Subjects:Science > Mathematics
    Technology > Electrical engineering. Electronics Nuclear engineering
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:09 Sep 2014 14:47
    Last modified:16 Dec 2024 01:30
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/49154
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