Chaos control of new Mathieu-Van der Pol systems with new Mathieu-Duffing systems as functional system by GYC partial region stability theory |
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| Authors: | Zheng-Ming Ge |
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| Institution: | Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, ROC |
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| 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. |
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| Keywords: | Chaos control Partial region stability theory New Mathieu-Van der Pol system New Mathieu-Duffing system |
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