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Outer synchronization for two discrete-time complex dynamic networks via the synthesized coupling connections

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Abstract

Firstly, this paper proposes a mathematical model of two interactive discrete-time complex dynamic networks, in which the connections exist not only within a single network as the inner connection, but also between different networks as the outer connection which establishes the interaction between the two networks, and the values-weighted of all the connections are influenced with the state of the nodes. Then based on the dynamics of two networks and Lyapunov stability theory, a new outer synchronization scheme for the two networks is proposed by synthesizing the coupling connections between nodes, including the inner and outer connections, such that the outer synchronization error of two networks converges asymptotically to the origin. Finally, the simulated results are given to show the validity of the method in this article.

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Acknowledgements

Writing-original draft: Bo-bo Li. Conceptualization: Yin-he Wang, Jia-wei Lu, Yi Peng, **ao-xi Wang. Funding acquisition: Yin-he Wang. Methodology: Bo-bo Li, Yin-he Wang. Formal analysis: Bo-bo Li, Yin-he Wang, Jia-wei Lu. Writing-review: Yin-he Wang, Jia-wei Lu, Yi Peng, **ao-xi Wang. Also, these authors contributed equally to this work.

Funding

This work was supported by the Key Laboratory of Intelligent Manufacturing Technology (Shan-tou University), Ministry of Education of China under Grant (202109242), the National Natural Science Foundation of China under Grant (61673120)

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Authors and Affiliations

  1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Bo-bo Li, Yin-he Wang, Jia-wei Lu & Yi Peng

  2. Bei**g Materials Handling Research Institute Co., Ltd, Bei**g, 100007, China

    **ao-xi Wang

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  1. Bo-bo Li
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Correspondence to Jia-wei Lu.

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Li, Bb., Wang, Yh., Lu, Jw. et al. Outer synchronization for two discrete-time complex dynamic networks via the synthesized coupling connections. J. Appl. Math. Comput. 69, 4091–4110 (2023). https://doi.org/10.1007/s12190-023-01917-0

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