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Stabilization and Synchronization of Unified Chaotic System via Impulsive Control

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  • Cheng Hu
  • Haijun Jiang

Abstract

The impulsive control and synchronization of unified chaotic system are proposed. By applying impulsive control theory and introducing a piecewise continuous auxiliary function, some novel and useful conditions are provided to guarantee the globally asymptotical stabilization and synchronization of unified chaotic system under impulsive control. Compared with some previous results, our criteria are superior and less conservative. Finally, the effectiveness of theoretical results is shown through numerical simulations.

Suggested Citation

  • Cheng Hu & Haijun Jiang, 2014. "Stabilization and Synchronization of Unified Chaotic System via Impulsive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:369842
    DOI: 10.1155/2014/369842
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    References listed on IDEAS

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    1. 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.
    2. Jiang, Guirong & Lu, Qishao & Qian, Linning, 2007. "Chaos and its control in an impulsive differential system," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1135-1147.
    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. Zhou, Jin & Cheng, Xuhua & Xiang, Lan & Zhang, Yecui, 2007. "Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 607-616.
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