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Analysis for the stabilization of impulsive control Liu’s system

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  • Xu, Wei
  • Wang, Liang
  • Rong, Haiwu
  • Li, Dongxi
  • Niu, Yujun

Abstract

In this paper, the stability of the impulsive control Liu’s system is analyzed. Some sufficient conditions are given, which can guarantee the global asymptotical stability for the controlled system. And we also present the estimate of the stable region for the equidistance impulsive interval. Our numerical results show the effectiveness of the scheme, furthermore, the robustness against the noise is considered.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1143-1148
    DOI: 10.1016/j.chaos.2009.03.013
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    References listed on IDEAS

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    1. Wu, Xiaoqun & Lu, Jun-an & Tse, Chi K. & Wang, Jinjun & Liu, Jie, 2007. "Impulsive control and synchronization of the Lorenz systems family," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 631-638.
    2. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Synchronization in complex delayed dynamical networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 684-692.
    3. 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.
    4. Liu, Xian & Wang, Jinzhi & Huang, Lin, 2007. "Global synchronization for a class of dynamical complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 543-556.
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