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Impulsive Control for the Synchronization of Chaotic Systems with Time Delay

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  • Ming Han
  • Yang Liu
  • Jianquan Lu

Abstract

This paper considers impulsive control for the synchronization of chaotic systems with time delays. Based on the Lyapunov functions and the Razumikhin technique, some new synchronization criteria with an exponential convergence rate are derived. Our results show that impulses do contribute to globally exponential synchronization of dynamical systems. Besides, the impulsive moments are independent of the upper bound of time delays. Furthermore, a bigger upper bound of impulsive intervals for the synchronization of chaotic systems can be obtained when compared with many previous studies. Hence, our results are less conservative and more effective for the synchronization analysis. A numerical example is given to show the validity and potential of the developed results.

Suggested Citation

  • Ming Han & Yang Liu & Jianquan Lu, 2012. "Impulsive Control for the Synchronization of Chaotic Systems with Time Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:647561
    DOI: 10.1155/2012/647561
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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.
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