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Successive lag synchronization on nonlinear dynamical networks via aperiodically intermittent control

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Abstract

Successive lag synchronization (SLS) for nonlinear dynamical networks is investigated by using aperiodically intermittent control. Different from previous works about the SLS, the proposed controllers could be discontinuous and aperiodic. Aperiodically intermittent controllers are proposed to realize SLS on the dynamical networks with and without communication delay. Furthermore, several sufficient conditions are obtained by applying the Lyapunov function method to make SLS achieve global stability. Finally, a loop-shaped network example and a chain-shaped network example are provided to verify correctness of our results.

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Acknowledgements

This work was supported jointly by the National Natural Science Foundation of China (Nos. 61663006, 11661026), Guangxi Key Laboratory of Cryptography and Information Security (No. GCIS201612) and Guangxi Natural Science Foundation (No. 2015GXNSFBB139002). The authors are grateful to the editor and anonymous reviewers for their constructive comments and suggestions that helped to improve the content as well as the quality of the paper.

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  1. School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin, 541004, China

    Yinxing Zhang & Kezan Li

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  1. Yinxing Zhang
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Correspondence to Kezan Li.

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Zhang, Y., Li, K. Successive lag synchronization on nonlinear dynamical networks via aperiodically intermittent control. Nonlinear Dyn 95, 3075–3089 (2019). https://doi.org/10.1007/s11071-018-04742-4

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