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A sector condition for local robustness of limit cycles
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2006 (English)In: 2006 American Control Conference, Vols 1-12, 2006, Vol. 1-12, 5014-5019 p.Conference paper, Published paper (Refereed)
Abstract [en]

Robustness of periodic oscillations in autonomous feedback systems are considered for systems with separable nonlinearities. Local quadratic separation of the nonlinear dynamics from the linear part of the dynamics is used to characterize a set of systems that exhibit periodic oscillation in a bounded frequency and amplitude range. The main analysis condition can be formulated as a feasibility problem for linear matrix inequalities.

Place, publisher, year, edition, pages
2006. Vol. 1-12, 5014-5019 p.
Series
Proceedings Of The American Control Conference, ISSN 0743-1619 ; 1-12
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-42168DOI: 10.1109/ACC.2006.1657515ISI: 000241666309075Scopus ID: 2-s2.0-34047207737ISBN: 1-4244-0209-3 (print)OAI: oai:DiVA.org:kth-42168DiVA: diva2:446454
Conference
American Control Conference 2006 Location: Minneapolis, MN Date: JUN 14-16, 2006
Note
QC 20111007Available from: 2011-10-07 Created: 2011-10-06 Last updated: 2011-10-07Bibliographically approved

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