Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems

A.Y. Pogromskiy, A. Matveev

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.
Original languageEnglish
Title of host publicationProceedings of the 54th IEEE Conference on Decision and Control (CDC)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages5563-5568
Number of pages6
Volume2016
DOIs
Publication statusPublished - 8 Feb 2016
Event54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54
http://www.cdc2015.ctrl.titech.ac.jp/

Conference

Conference54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated titleCDC 2015
CountryJapan
CityOsaka
Period15/12/1518/12/15
Internet address

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