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Periodically intermittent controlling for finite-time synchronization of complex dynamical networks

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Abstract

In this paper, we consider finite-time synchronization between two complex dynamical networks using periodically intermittent control. Based on finite-time stability theory, some novel and effective finite-time synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function \(V(t)\) is smaller than \(\beta V(t)\) (\(\beta \) is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be self-synchronized without control inputs. As a result, the application scope of synchronization is greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.

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Acknowledgments

The authors would like to thank the editor and the anonymous reviewers for their valuable comments and constructive suggestions. This research is supported by the National Natural Science Foundation of China (Grant Nos. 61174216, 61273183, 61374085, 11301297 and 61374028), and the Doctoral Scientific Research Foundation of China Three Gorges University (Grant No. 0620120132).

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Authors and Affiliations

  1. Centre of New Energy Systems, Department of Electrical and computer Engineering, University of Pretoria, Pretoria, 0002, South Africa

    Jun Mei & Zhou Wu

  2. College of Science, China Three Gorges University, Yichang, 443002, Hubei, China

    Jun Mei & Minghui Jiang

  3. College of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China

    Xiaohong Wang

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  1. Jun Mei
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  2. Minghui Jiang
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Correspondence to Jun Mei.

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Mei, J., Jiang, M., Wu, Z. et al. Periodically intermittent controlling for finite-time synchronization of complex dynamical networks. Nonlinear Dyn 79, 295–305 (2015). https://doi.org/10.1007/s11071-014-1664-y

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