Limit cycle analysis using a system right inverse
2005 (English)In: 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 2951-2956 p.Conference paper (Refereed)
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.
, IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, ISSN 0191-2216
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-43348DOI: 10.1109/CDC.2005.1582613ISI: 000240653702151ScopusID: 2-s2.0-33847213546ISBN: 0-7803-9567-0OAI: oai:DiVA.org:kth-43348DiVA: diva2:448242
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC) Location: Seville, SPAIN Date: DEC 12-15, 2005
QC 201110142011-10-142011-10-142011-10-14Bibliographically approved