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Impulsive control and synchronization of general chaotic system

Author

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  • Chen, Dilan
  • Sun, Jitao
  • Huang, Changshui

Abstract

The impulsive control and synchronization of chaotic systems are investigated, which unified Lorenz, Chen and Lü system. Some less conservative conditions with impulses at fixed times are provided, which can guarantee the global asymptotical stability for the impulsive control and synchronization of chaotic systems.

Suggested Citation

  • Chen, Dilan & Sun, Jitao & Huang, Changshui, 2006. "Impulsive control and synchronization of general chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 213-218.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:213-218
    DOI: 10.1016/j.chaos.2005.05.057
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    Citations

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    Cited by:

    1. Zheng, Yongai & Ji, Zhilin, 2016. "Predictive control of fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 307-313.
    2. Zhang, Yinping & Sun, Jitao, 2009. "Robust synchronization of coupled delayed neural networks under general impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1476-1480.
    3. Haeri, Mohammad & Dehghani, Mahsa, 2008. "Impulsive synchronization of different hyperchaotic (chaotic) systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 120-131.
    4. 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.
    5. Marão, José & Liu, Xinzhi & Figueiredo, Annibal, 2012. "Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 45(8), pages 1067-1079.
    6. Zhang, Yinping & Sun, Jitao, 2009. "Impulsive robust fault-tolerant feedback control for chaotic Lur’e systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1440-1446.
    7. 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.
    8. Xu, Wei & Wang, Liang & Rong, Haiwu & Li, Dongxi & Niu, Yujun, 2009. "Analysis for the stabilization of impulsive control Liu’s system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1143-1148.
    9. Wang, Bo & Wen, Guangjun, 2009. "On the synchronization of uncertain master–slave chaotic systems with disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 145-151.
    10. 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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