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New results on synchronization of chaotic systems with time-varying delays via intermittent control

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Abstract

This paper is concerned with the problem of exponential synchronization for chaotic systems with time-varying delays by using periodically intermittent control. Some new and useful synchronization criteria are obtained based on the differential inequality method and the analysis technique. It is noteworthy that the methods used in this paper are different from the techniques employed in the existing works, and the derived conditions are less conservative. Especially, a strong constraint on the control width that the control width should be large than the time delay imposed by the current references is released in this paper. Moreover, the new synchronization criteria do not impose any restriction on the size of time delay. Numerical examples are finally presented to illustrate the effectiveness of the theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Shuiming Cai & Zengrong Liu

  2. Institute of System Biology, Shanghai University, Shanghai, 200444, China

    Shuiming Cai, Junjun Hao & Zengrong Liu

  3. Department of Mathematics, Taizhou University, Linhai, 317000, China

    Qinbin He

Authors
  1. Shuiming Cai
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  2. Junjun Hao
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  3. Qinbin He
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  4. Zengrong Liu
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Corresponding author

Correspondence to Zengrong Liu.

Additional information

This work was supported by the National Science Foundation of China Grant Nos. 10832006, 10802043, and key disciplines of Shanghai Municipality (S30104), Shanghai Academic Discipline Project (J50101).

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Cai, S., Hao, J., He, Q. et al. New results on synchronization of chaotic systems with time-varying delays via intermittent control. Nonlinear Dyn 67, 393–402 (2012). https://doi.org/10.1007/s11071-011-9987-4

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