Finite‐time l2 − l∞ synchronization for discrete‐time nonlinear chaotic systems via information‐constrained delayed feedback |
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| Authors: | Jing Wang Hao Shen Ju H Park Zheng‐Guang Wu |
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| Institution: | 1. School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;3. National Laboratory of Industrial Control Technology, Institute of Cyber‐Systems and Control, Zhejiang University, Hangzhou Zhejiang, China |
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| Abstract: | This article is concerned with the problem of finite‐time  synchronization control for a class of discrete‐time nonlinear chaotic systems under unreliable communication links. Our aim is to design a delayed feedback controller such that the resulting synchronization error system is stochastically finite‐time bounded with a guaranteed  performance level over a finite time interval. Some sufficient conditions for the solvability of the above problem are established. A delayed feedback control scheme involving constrained information about the past state is presented. Finally, the Fold chaotic system is used to demonstrate the effectiveness of our proposed approach. © 2014 Wiley Periodicals, Inc. Complexity 21: 138–146, 2015 |
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| Keywords: | finite‐time synchronization information‐constrained delayed feedback discrete‐time nonlinear systems chaotic systems |
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