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Adaptive Synchronization of Complex Dynamical Networks via Distributed Pinning Impulsive Control

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Abstract

In this paper, exponential synchronization of a class of nonlinearly coupled complex dynamical networks with time-varying delay is investigated. A novel distributed controller combined with pinning impulsive method is designed by selecting the systems with largest norms of errors to be controlled at every impulsive instant. By introducing the adaptive control protocol into the negative feedback controller, suitable control gains are obtained and therefore, the control cost is efficiently saved. Based on the Lyapunov stability theory and some mathematical techniques, some novel leader-following synchronization criteria are derived. Furthermore, with consideration of time-varying impulsive effects, the obtained results are extended to a more complicated situation. Finally, two numerical examples are performed to illustrate the effectiveness of the theoretical analysis.

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Acknowledgements

This work were supported by the National Key R&D Program of China with Grant No. 2018YFB1701903, the National Natural Science Foundation of China with Grant No. 61803180, No. 61973138, the 111 Project with Grant No. B12018, and the Natural Science Foundation of Jiangsu Province with Grant No. BK20180599.

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Authors and Affiliations

  1. Engineering Research Center of Internet of Things Technology Applications (Ministry of Education), Jiangnan University, Wuxi, China

    Dong Ding, Ze Tang, Yan Wang & Zhicheng Ji

  2. Department of Electrical Engineering, Yeungnam University, Kyonsan, Republic of Korea

    Ze Tang

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  1. Dong Ding
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  2. Ze Tang
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  3. Yan Wang
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  4. Zhicheng Ji
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Correspondence to Zhicheng Ji.

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Ding, D., Tang, Z., Wang, Y. et al. Adaptive Synchronization of Complex Dynamical Networks via Distributed Pinning Impulsive Control. Neural Process Lett 52, 2669–2686 (2020). https://doi.org/10.1007/s11063-020-10373-x

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