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Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch

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  • Zhang, Xiaohong
  • Liao, Xiaofeng
  • Li, Chuandong

Abstract

The new unified chaotic system with continuous periodic switch between Lorenz and Chen systems is non-autonomous ones, which has many properties, such as symmetry and invariance, dissipative, tracking any target function etc. Control and synchronization of complete and lag for the system are discussed based on impulsive control theory in this paper. Some new general criteria for global asymptotical stability of continuous periodic switch system are established, and particularly some simple sufficient conditions are derived for stabilizing, complete and lag synchronizing chaotic system with continuous periodic switch. Theoretical analysis and numerical simulations are provided to show the effectiveness and feasibility of these methods.

Suggested Citation

  • Zhang, Xiaohong & Liao, Xiaofeng & Li, Chuandong, 2005. "Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 845-854.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:845-854
    DOI: 10.1016/j.chaos.2005.01.027
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    1. Sun, Jitao, 2004. "Impulsive control of a new chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(6), pages 669-677.
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    Cited by:

    1. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.
    2. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.
    3. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.
    4. Wu, Xiaoqun & Wang, Jinjun & Lu, Jun-an & Iu, Herbert H.C., 2007. "Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1485-1490.
    5. Li, Guo-Hui, 2009. "Inverse lag synchronization in chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1076-1080.
    6. Zheng, Yongai & Chen, Guanrong, 2009. "Fuzzy impulsive control of chaotic systems based on TS fuzzy model," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 2002-2011.
    7. An, Xin-Lei & Yu, Jian-Ning & Chu, Yan-Dong & Zhang, Jian-Gang & Zhang, Li, 2009. "Global chaos synchronization of three coupled nonlinear autonomous systems and a novel method of chaos encryption," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 865-873.
    8. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.
    9. Yang, Xinsong & Huang, Chuangxia & Zhu, Quanxin, 2011. "Synchronization of switched neural networks with mixed delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 817-826.

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