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Sampled-data intermittent synchronization of complex-valued complex network with actuator saturations

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Abstract

In this paper, a kind of aperiodically intermittent control with actuator saturations is designed to deal with the sampled-data synchronization problem of complex-valued stochastic complex network with Markovian switching and time-varying coupling structure (CSCNMT). It is noted that this control combines the advantages of the intermittent control with actuator saturations and the sampled-data control with actuator saturations. Besides, the aperiodically intermittent control with sampled-data and the sampled-data control with actuator saturations are also used to handle the synchronization problem of CSCNMT, respectively. Moreover, by applying complex generalized Itô’s formula, synchronization of CSCNMT is researched on complex space directly without splitting their real and imaginary parts. After that, by combining with Lyapunov method, graph theory and some techniques of inequalities, some sufficient conditions are derived to guarantee the mean-squared exponential synchronization of CSCNMT. In particular, synchronization of complex-valued stochastic inertial neural network with Markovian switching and time-varying coupling structure is investigated as a practical application of the theoretical results. Finally, numerical simulations are presented for illustration.

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All data generated or analyzed during this study are included in this published article.

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Acknowledgements

The authors really appreciate the editor’s and reviewers’ valuable comments. This work was supported by the Shandong Province Natural Science Foundation (Nos. ZR2018MA005, ZR2018MA020, ZR2017MA008); the Key Project of Science and Technology of Weihai (No. 2014DXGJMS08); and the Innovation Technology Funding Project in Harbin Institute of Technology (No. HIT.NSRIF.201703).

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  1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, People’s Republic of China

    Hui Zhou, Zijiang Liu & Wenxue Li

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  1. Hui Zhou
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Correspondence to Wenxue Li.

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Zhou, H., Liu, Z. & Li, W. Sampled-data intermittent synchronization of complex-valued complex network with actuator saturations. Nonlinear Dyn 107, 1023–1047 (2022). https://doi.org/10.1007/s11071-021-07028-4

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