Chaos control of new Mathieu-Van der Pol systems with new Mathieu-Duffing systems as functional system by GYC partial region stability theory

Title:	Chaos control of new Mathieu-Van der Pol systems with new Mathieu-Duffing systems as functional system by GYC partial region stability theory
Authors:	Ge, Zheng-Ming Li, Shih-Yu 機械工程學系 Department of Mechanical Engineering
Keywords:	Chaos control;Partial region stability theory;New Mathieu-Van der Pol system;New Mathieu-Duffing system
Issue Date:	1-Nov-2009
Abstract:	In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve chaos control. Using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of error states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Mathieu-Duffing system to show the effectiveness of this strategy. (C) 2009 Elsevier Ltd. All rights reserved.
URI:	http://dx.doi.org/10.1016/j.na.2009.02.095 http://hdl.handle.net/11536/6464
ISSN:	0362-546X
DOI:	10.1016/j.na.2009.02.095
Journal:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume:	71
Issue:	9
Begin Page:	4047
End Page:	4059
Appears in Collections:	Articles

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