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A novel active pinning control for synchronization and anti-synchronization of new uncertain unified chaotic systems

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Abstract

This paper discusses the synchronization and anti-synchronization of new uncertain unified chaotic systems (UUCS). Based on the idea of active control, a novel active Pinning control strategy is presented, which only needs a state of new UUCS. The proposed controller can achieve synchronization between a response system and a drive system, and ensure the synchronized robust stability of new UUCS. Numerical simulations of new UUCS show that the controller can make chaotic systems achieve synchronization or anti-synchronization in a quite short period and both are of good robust stability.

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, PR China

    Lin Pan, Wuneng Zhou & Jian’an Fang

  2. Embedded Systems Group, FernUniversität in Hagen, 58084, Hagen, Germany

    Lin Pan

  3. Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan, 232001, Anhui Province, PR China

    Dequan Li

  4. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, PR China

    Dequan Li

Authors
  1. Lin Pan
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  2. Wuneng Zhou
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  3. Jian’an Fang
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  4. Dequan Li
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Correspondence to Lin Pan.

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Pan, L., Zhou, W., Fang, J. et al. A novel active pinning control for synchronization and anti-synchronization of new uncertain unified chaotic systems. Nonlinear Dyn 62, 417–425 (2010). https://doi.org/10.1007/s11071-010-9728-0

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  • DOI: https://doi.org/10.1007/s11071-010-9728-0

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