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Finite-time \({H_\infty }\) synchronization of Markov jump complex dynamical networks with additive time-varying delays: an event-triggered control strategy

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Abstract

This paper focuses on the issue of finite-time synchronization for a class of Markov jump complex dynamical networks with additive time-varying delays. By modeling the randomly switching topologies as a Markov process, a novel \({H_\infty }\) event-triggered control strategy is proposed. The main purpose of our research is to ensure that the closed-loop system is mean-square stochastically finite-time stable with a prescribed \({H_\infty }\) performance level, the event-triggered networked state delay feedback controller is designed. Based on the stochastic analysis theory and Lyapunov–Krasovskii functional method, some sufficient criteria for synchronization of CDNs are deduced. Moreover, the reciprocally convex matrix inequality is introduced to decrease conservatism. Eventually, simulation examples are carried out to illustrate the superiority and practicability of the presented methods.

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All data generated or analyzed during this study are included in this published article (and its supplementary information files).

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China No. 61273004 and the Natural Science Foundation of Hebei Province No. F2021203061.

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  1. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Guiying Zang, Shengli Shi & Yuechao Ma

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  1. Guiying Zang
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Correspondence to Yuechao Ma.

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This work is supported by the National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2021203061).

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Zang, G., Shi, S. & Ma, Y. Finite-time \({H_\infty }\) synchronization of Markov jump complex dynamical networks with additive time-varying delays: an event-triggered control strategy. Comp. Appl. Math. 42, 141 (2023). https://doi.org/10.1007/s40314-023-02264-3

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