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Synchronization of hyperchaotic systems via improved impulsive control method

Ma Tie-Dong Jiang Wei-Bo Fu Jie Xue Fang-Zheng

Synchronization of hyperchaotic systems via improved impulsive control method

Ma Tie-Dong, Jiang Wei-Bo, Fu Jie, Xue Fang-Zheng
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Publishing process
  • Received Date:  21 September 2011
  • Accepted Date:  28 May 2012
  • Published Online:  05 May 2012

Synchronization of hyperchaotic systems via improved impulsive control method

  • 1. College of Automation, Chongqing University, Chongqing 400044, China;
  • 2. Key Laboratory of Optoelectronic Technology and System, Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61104080), the Natural Science Foundation of Chongqing, China (Grant No. CSTC, 2010BB2238), Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100191120025), and the China Postdoctoral Science Foundation (Grant Nos. 20100470813, 20100480043).

Abstract: The improved impulsive control method is proposed to realize the complete synchronization of integral and fractional order hyperchaotic systems. Some effective sufficient conditions are produced to realize the asymptotical stability of synchronization error system. In particular, some simple and practical conditions are derived in synchronizing the chaotic systems by choosing constant impulsive distances and control gains. Compared with the existing results, the main results are less conservative by relaxing some unnecessary inequality constraints. Simulation results show the effectiveness and the feasibility of the proposed impulsive controller.

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