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Author Pogromsky, A. Yu. ♦ Matveev, A.S.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2015
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Stability criteria ♦ Lyapunov methods ♦ Asymptotic stability ♦ Nonlinear systems ♦ Oscillators ♦ Linear systems
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.
Description Author affiliation: The Mathematics and Mechanics Faculty, Saint-Petersburg State University, 28 Universitetsky prospekt, 198504, Peterhof, Russia (Matveev, A.S.) || Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB, The Netherlands (Pogromsky, A. Yu.)
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2015-12-15
Publisher Place Japan
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781479978861
Size (in Bytes) 578.78 kB
Page Count 6
Starting Page 5563
Ending Page 5568

Source: IEEE Xplore Digital Library