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Limit cycle analysis using a system right inverse
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2005 (English)In: 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 2951-2956 p.Conference paper, Published paper (Refereed)
Abstract [en]

The variational system obtained by linearizing a dynamical system along a limit cycle is always non-invertible. This follows because the limit cycle is only unique modulo time translation. It is shown that questions such as uniqueness, robustness, and computation of limit cycles can be addressed using a right inverse of the variational system. Small gain arguments are used in the analysis.

Place, publisher, year, edition, pages
2005. 2951-2956 p.
Series
IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, ISSN 0191-2216
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-43348DOI: 10.1109/CDC.2005.1582613ISI: 000240653702151Scopus ID: 2-s2.0-33847213546ISBN: 0-7803-9567-0 (print)OAI: oai:DiVA.org:kth-43348DiVA: diva2:448242
Conference
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC) Location: Seville, SPAIN Date: DEC 12-15, 2005
Note
QC 20111014Available from: 2011-10-14 Created: 2011-10-14 Last updated: 2011-10-14Bibliographically approved

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