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Global impulsive exponential synchronization of time-delayed coupled chaotic systems

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  • Zhu, Wei
  • Xu, Daoyi
  • Huang, Yumei

Abstract

In this paper, the impulsive exponential synchronization problem for time-delayed coupled chaotic systems is investigated. By establishing an impulsive differential delay inequality and using the property of P-cone, some simple conditions of impulsive exponential synchronization of two coupled chaotic systems are derived. To illustrate the effectiveness of the new scheme, some numerical examples are given.

Suggested Citation

  • Zhu, Wei & Xu, Daoyi & Huang, Yumei, 2008. "Global impulsive exponential synchronization of time-delayed coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 904-912.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:5:p:904-912
    DOI: 10.1016/j.chaos.2006.05.078
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    References listed on IDEAS

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    1. Li, Chuandong & Liao, Xiaofeng & Zhang, Rong, 2005. "A unified approach for impulsive lag synchronization of chaotic systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1177-1184.
    2. Cheng, Chao-Jung & Liao, Teh-Lu & Hwang, Chi-Chuan, 2005. "Exponential synchronization of a class of chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 197-206.
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    Cited by:

    1. Banerjee, Santo, 2009. "Synchronization of time-delayed systems with chaotic modulation and cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 745-750.
    2. Xiao, Jiang-Wen & Gao, Jiexuan & Huang, Yuehua & Wang, Yan-Wu, 2009. "Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1156-1162.
    3. Wang, Xiaohu & Xu, Daoyi, 2009. "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2713-2721.
    4. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2009. "Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2123-2127.
    5. Xiang, Hui-fen & Li, Gao-ping, 2009. "A constructional method for generalized synchronization of coupled time-delay chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1849-1853.

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