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Intermittent Impulsive Synchronization of Chaotic Delayed Neural Networks

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Abstract

In this paper, a novel intermittent impulsive synchronization scheme is proposed to realize synchronization of two chaotic delayed neural networks. Intermittent impulsive control breaks through the limitation of the upper bound of the impulsive intervals in general impulsive control. In our synchronization scheme, impulsive control is only activated in the control windows, rather than during the whole time. Several synchronization criteria for chaotic delayed neural networks are established utilizing the method of linear matrix inequalities (LMI) and the Lyapunov–Razumikhin technique. Two numerical examples are given to demonstrate the effectiveness of our main results.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Xinzhi Liu

  2. Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Xuemin Shen & Hongtao Zhang

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  1. Xinzhi Liu
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  2. Xuemin Shen
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  3. Hongtao Zhang
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Correspondence to Xinzhi Liu.

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Liu, X., Shen, X. & Zhang, H. Intermittent Impulsive Synchronization of Chaotic Delayed Neural Networks. Differ Equ Dyn Syst 19, 149–169 (2011). https://doi.org/10.1007/s12591-011-0080-8

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  • DOI: https://doi.org/10.1007/s12591-011-0080-8

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