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Pinning Synchronization Control for a Class of Dynamical Networks with Coupled Time-Varying Delays: An Interval-Observer-Based Approach

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Abstract

This paper is concerned with the pinning synchronization control issue for a class of discrete-time complex dynamical networks. By resorting to the interval observer approach, a novel pinning synchronization control strategy is adopted to control a small fraction of the network nodes with hope to reduce the implementation cost. By using the Lyapunov stability theorem, some synchronization criteria have been derived to ensure the desired synchronization performance. Finally, a numerical simulation is presented to illustrate the effectiveness and usefulness of the theoretical results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61873169, the Natural Science Foundation of Shanghai [Grant No. 18ZR1427000], the China Postdoctoral Science Foundation [Grant No. 2019TQ0202] and the Shanghai Pujiang Program [Grant No. 19PJ1408100].

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Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200000, China

    Linlin Liu & Guoliang Wei

  2. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai, 200000, China

    Licheng Wang

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  1. Linlin Liu
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  2. Guoliang Wei
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  3. Licheng Wang
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Correspondence to Guoliang Wei.

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Liu, L., Wei, G. & Wang, L. Pinning Synchronization Control for a Class of Dynamical Networks with Coupled Time-Varying Delays: An Interval-Observer-Based Approach. Circuits Syst Signal Process 40, 154–173 (2021). https://doi.org/10.1007/s00034-020-01488-6

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