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Harmonic Lyapunov functions in the analysis of periodically switched systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2006 (English)In: PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, 2759-2764 p.Conference paper, Published paper (Refereed)
Abstract [en]

The dynamic phasor model of a time-periodic system is used to derive a stability test involving a harmonic Lyapunov function. This reveals a new interpretation of the harmonic Lyapunov function with an appealing time-domain representation. Most importantly, it indicates that the ideas behind the harmonic Lyapunov equation can be generalized to include cyclic switching systems that have different pulse form in each period.

Place, publisher, year, edition, pages
2006. 2759-2764 p.
Series
IEEE Conference on Decision and Control, ISSN 0191-2216
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-42227DOI: 10.1109/CDC.2006.377070ISI: 000252251604018Scopus ID: 2-s2.0-39649109208ISBN: 978-1-4244-0170-3 (print)OAI: oai:DiVA.org:kth-42227DiVA: diva2:446495
Conference
45th IEEE Conference on Decision and Control Location: San Diego, CA Date: DEC 13-15, 2006
Note
QC 20111007Available from: 2011-10-07 Created: 2011-10-06 Last updated: 2011-10-07Bibliographically approved

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