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Finite-time synchronization of complex networks with nonidentical discontinuous nodes

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Abstract

In this paper, we study the finite-time synchronization problem for linearly coupled complex networks with discontinuous nonidentical nodes. Firstly, new conditions for general discontinuous chaotic systems is proposed, which is easy to be verified. Secondly, a set of new controllers are designed such that the considered model can be finite-timely synchronized onto any target node with discontinuous functions. Based on a finite-time stability theorem for equations with discontinuous right-hand and inequality techniques, several sufficient conditions are obtained to ensure the synchronization goal. Results of this paper are general, and they extend and improve existing results on both continuous and discontinuous complex networks. Finally, numerical example, in which a BA scale-free network with discontinuous Sprott and Chua circuits is finite-timely synchronized onto discontinuous Chen system, is given to show the effectiveness of our new results.

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Acknowledgements

This work was jointly supported by the National Natural Science Foundation of China (NSFC) under Grants Nos. 61263020, 61272530, 11072059, the Natural Science Foundation of Jiangsu Province of China under Grants No. BK2012741, and the Scientific Research Fund of Yunnan Province under Grant No. 2010ZC150, and the Scientific Research Fund of Chongqing Normal University under Grants No. 12XLB031 and No. 940115.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, 401331, China

    Xinsong Yang & Zhiyou Wu

  2. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

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  1. Xinsong Yang
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Correspondence to Xinsong Yang.

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Yang, X., Wu, Z. & Cao, J. Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Nonlinear Dyn 73, 2313–2327 (2013). https://doi.org/10.1007/s11071-013-0942-4

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