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Zbl 1176.34072
Ge, Zheng-Ming; Li, Shih-Yu
Chaos control of new Mathieu-Van der Pol systems with new Mathieu-Duffing systems as functional system by GYC partial region stability theory. (English)
[J] Nonlinear Anal., Theory Methods Appl. 71, No. 9, A, 4047-4059 (2009). ISSN 0362-546X

Summary: 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.

MSC 2000:: *34H05 ODE in connection with control problems
34C28 Other types of "recurrent" solutions of ODE

Keywords: chaos control; partial region stability theory; new Mathieu-Van der Pol system; new Mathieu-Duffing system

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Zentralblatt MATH Berlin [Germany]