NDLI: A Synthesis on Lyapunov Methods to the Estimation and Enlargement of Attraction Domain for Nonlinear Autonomous Systems

Content Provider	IEEE Xplore Digital Library
Author	Hamidi, F. Jerbi, H.
Copyright Year	2009
Abstract	The objective of this work is to study Lyapunov approaches for the estimation and the enlargement of Asymptotic Stability Region of nonlinear autonomous systems. These approaches have been investigated in order to develop digital algorithms based on the synthesis of a quadratic and maximum Lyapunov functions. The results on all three explored methods: McCann Method, estimation method via a Maximal Lyapunov function and the estimation method via a Quadratic Lyapunov function, showed that this variety of methods- Is efficient for a large class of nonlinear systems. - Has an interesting capacity of enlargement of the asymptotic stability region. - Is characterized by an obvious property of implementation for reduced and high order nonlinear systems. The efficiency and the validation of the investigated methods are tested via a simulation study. The performances of all methods are compared and discussed via the study of the well known the Van der Pol model.
Starting Page	87
Ending Page	92
File Size	290024
Page Count	6
File Format	PDF
ISBN	9781424452002
DOI	10.1109/CSSim.2009.18
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-09-07
Publisher Place	Czech Republic
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computational modeling Lyapunov method Continuous time systems Taylor series Yield estimation Asymptotic stability Analytical models Region of Asymptotic Stability Stable equilibrum point Domain of attraction Nonlinear systems Computational intelligence Testing Lyapunov function
Content Type	Text
Resource Type	Article

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