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Stabilization of switched linear systems via LaSalle's invariance principle
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2008 (English)Conference paper (Refereed)
Abstract [en]

This paper considers the stability of switched linear systems. Assume a common weak quadratic Lyapunov function exists and the switches satisfy certain ergodic property, we investigate two extensions of LaSalle's invariance principle. Unlike most existing results, the systems we investigated may have switching modes, which are not asymptotically stable. An application to the consensus of multi-agent systems is presented.

Place, publisher, year, edition, pages
2008. 1-6 p.
, 2007 IEEE International Conference on Control and Automation, ICCA
Keyword [en]
Invariance, Lyapunov functions, Multi agent systems, Switching networks, LaSalle's invariance principle, Switching modes, Linear systems
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-154453DOI: 10.1109/ICCA.2007.4376308ISI: 000257195302026ScopusID: 2-s2.0-44349189335ISBN: 1424408180ISBN: 9781424408184OAI: diva2:758518
2007 IEEE International Conference on Control and Automation, ICCA, 30 May-1 June 2007, Guangzhou, China

QC 20141027

Available from: 2014-10-27 Created: 2014-10-20 Last updated: 2014-10-27Bibliographically approved

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Hu, Xiaoming
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