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Delayed impulsive synchronization of discrete-time complex networks with distributed delays

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Abstract

In this paper, a novel delayed impulsive control strategy is proposed for synchronization of discrete-time complex networks with distributed delays. Different from the existing results, the involving time delays include distributed delays and impulsive input delays. Employing the Razumikhin theorem and the mathematical induction method, several sufficient criteria are derived in terms of algebraic conditions, which depend on impulsive input delays and impulsive control gains. Meanwhile, the derived criteria also reveal the relationship between the bounds of impulsive intervals and impulsive input delays. Finally, two examples are given to illustrate the effectiveness of the proposed approach.

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Acknowledgments

This work was supported in part by the Innovation Program of Shanghai Municipal Education Commission (13ZZ050), the Key Foundation Project of Shanghai (12JC1400400), the Natural Science Foundation through the Higher Education Institutions of Jiangsu Province (14KJB120014) and the Fundamental Research Funds for the Central Universities (CUSF-DH-D-2015055).

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, People’s Republic of China

    Zhen Li, Jian-an Fang & Xin Wang

  2. Department of Mathematics, Yangzhou University, Jiangsu, 225002, People’s Republic of China

    Wenbing Zhang

  3. School of Information Engineering, Zhejiang Textile and Fashion College, Ningbo, 315211, Zhejiang, People’s Republic of China

    Xin Wang

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  1. Zhen Li
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  2. Jian-an Fang
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  4. Xin Wang
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Correspondence to Zhen Li.

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Li, Z., Fang, Ja., Zhang, W. et al. Delayed impulsive synchronization of discrete-time complex networks with distributed delays. Nonlinear Dyn 82, 2081–2096 (2015). https://doi.org/10.1007/s11071-015-2301-0

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