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Adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling

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Abstract

This paper investigates the adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling, in which the weights of links between two connected nodes are time varying. By the stability analysis of the impulsive functional differential equation, the sufficient conditions for achieving projective synchronization are obtained, and a hybrid controller, that is, an adaptive feedback controller with impulsive control effects is designed. The numerical examples are presented to illustrate the effectiveness and advantage of the proposed synchronization criteria.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Xueyuan Street No. 18, Xiasha University Town, Hangzhou, Zhejiang, 310018, P.R. China

    Song Zheng

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  1. Song Zheng
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Correspondence to Song Zheng.

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Zheng, S. Adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling. Nonlinear Dyn 67, 2621–2630 (2012). https://doi.org/10.1007/s11071-011-0175-3

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  • DOI: https://doi.org/10.1007/s11071-011-0175-3

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