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

A.Y. Pogromskiy, A. Matveev

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

1 Citaat (Scopus)
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Samenvatting

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.
Originele taal-2Engels
TitelProceedings of the 54th IEEE Conference on Decision and Control (CDC)
Plaats van productiePiscataway
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's5563-5568
Aantal pagina's6
Volume2016
DOI's
StatusGepubliceerd - 8 feb 2016
Evenement54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan
Duur: 15 dec 201518 dec 2015
Congresnummer: 54
http://www.cdc2015.ctrl.titech.ac.jp/

Congres

Congres54th IEEE Conference on Decision and Control (CDC 2015)
Verkorte titelCDC 2015
LandJapan
StadOsaka
Periode15/12/1518/12/15
Anderthe 54th IEEE Conference on Decision and Control
Internet adres

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