Harmonic Lyapunov functions in the analysis of periodically switched systems
2006 (English)In: PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, 2759-2764 p.Conference paper (Refereed)
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.
, IEEE Conference on Decision and Control, ISSN 0191-2216
IdentifiersURN: urn:nbn:se:kth:diva-42227DOI: 10.1109/CDC.2006.377070ISI: 000252251604018ScopusID: 2-s2.0-39649109208ISBN: 978-1-4244-0170-3OAI: oai:DiVA.org:kth-42227DiVA: diva2:446495
45th IEEE Conference on Decision and Control Location: San Diego, CA Date: DEC 13-15, 2006
QC 201110072011-10-072011-10-062011-10-07Bibliographically approved