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An extension of LaSalle's Invariance Principle for a class of switched linear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. KTH, School of Computer Science and Communication (CSC), Centres, Centre for Autonomous Systems, CAS.ORCID iD: 0000-0003-0177-1993
2009 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 58, no 10-11, 754-758 p.Article in journal (Refereed) Published
Abstract [en]

In this paper LaSalle's Invariance Principle for switched linear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper the switching modes are allowed to be only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability of switched linear systems is proposed provided that the kernels of derivatives of a common quadratic Lyapunov function with respect to the switching modes are disjoint (except the origin).

Place, publisher, year, edition, pages
2009. Vol. 58, no 10-11, 754-758 p.
Keyword [en]
LaSalle's Invariance Principle, Switched linear systems, Weak common, quadratic Lyapunov function, quadratic lyapunov functions, dynamical-systems, stability, consensus, hybrid
National Category
Information Systems
Identifiers
URN: urn:nbn:se:kth:diva-18914DOI: 10.1016/j.sysconle.2009.08.008ISI: 000271338400008Scopus ID: 2-s2.0-70349467734OAI: oai:DiVA.org:kth-18914DiVA: diva2:336961
Note

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2018-01-12Bibliographically approved

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Hu, Xiaoming

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Mathematics (Dept.)Optimization and Systems TheoryACCESS Linnaeus CentreCentre for Autonomous Systems, CAS
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