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Analysis and computation of limit cycles for systems with separable nonlinearities
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2008 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 69, no 12, 4674-4693 p.Article in journal (Refereed) Published
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 a 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
2008. Vol. 69, no 12, 4674-4693 p.
Keyword [en]
Limit cycle, Harmonic balance, Uncertainty, oscillations
Identifiers
URN: urn:nbn:se:kth:diva-18041DOI: 10.1016/j.na.2007.11.022ISI: 000261552000034Scopus ID: 2-s2.0-55049129917OAI: oai:DiVA.org:kth-18041DiVA: diva2:336087
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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