Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters
Zhao Yan(赵琰)a)†, Zhang Hua-Guang(张化光)a)b), and Zheng Cheng-De(郑成德)a)c)
a School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; bKey Laboratory of Process Industry Automation of Ministry of Education, Northeastern University, Shenyang 110004, China; c Department of Mathematics, Dalian Jiaotong University, Dalian 116028, China
Abstract This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model (DFHM) with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li--Yorke definition. An example is presented to demonstrate the effectiveness of the approach.
Received: 29 May 2007
Revised: 06 July 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 60325311, 60534010,
60572070 and 60521003), the Program for Cheung Kong Scholars and
Innovative Research Team in University (Grant No IRT0421).
Cite this article:
Zhao Yan(赵琰), Zhang Hua-Guang(张化光), and Zheng Cheng-De(郑成德) Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters 2008 Chin. Phys. B 17 529
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