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Lag Synchronization in Mean Square of Stochastic Complex Networks with Multiple Mixed Delays via Impulsive Control

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Abstract

In this paper, the lag synchronization problem in mean square of a class of complex stochastic networks with multiple mixed delays is studied. The mixed delays involved in this paper not only include n non-identical nonlinear time-varying delays and a coupled delay, but also include a infinite distributed delay. Using the impulsive differential inequality and the Lyapunov method, it is proved that this kind of the network can reach to be lag synchronization. Finally, two examples are given to illustrated to verify the effectiveness of our proposed result.

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Acknowledgements

The authors would like to thank the referee and the editor for their useful comments. This work was supported by the Fundamental Research Funds for the Central Universities (2682023ZTPY035 and 2682023KJ025).

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Siyi Gong & Lin Shi

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  1. Siyi Gong
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  2. Lin Shi
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SG: Methodology, Writing—original draft. LS: methodology, supervision.

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Correspondence to Siyi Gong.

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Gong, S., Shi, L. Lag Synchronization in Mean Square of Stochastic Complex Networks with Multiple Mixed Delays via Impulsive Control. Qual. Theory Dyn. Syst. 23, 68 (2024). https://doi.org/10.1007/s12346-023-00924-7

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