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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 4
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Research Article

Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems

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Pages 807-826 | Received 07 Dec 2022, Accepted 21 Apr 2023, Published online: 04 May 2023
 

ABSTRACT

The synchronization of stochastic hybrid-impulses complex-valued multi-links coupled systems (SHCMCS) based on discrete-time state observations control is studied. Therein, hybrid impulses, multiple links and complex-valued factors are considered simultaneously, which make the model more common. By using the Lyapunov method and Kirchhoff's Matrix Tree Theorem, average impulsive interval and average impulsive gain, the synchronization is achieved. Moreover, synchronization criteria are obtained, whose sufficient conditions reflect that the realization of synchronization depends on coupled strength and stochastic disturbance strength. In addition, stochastic complex-valued multi-links coupled oscillators with hybrid impulses are studied. Finally, a numerical test is presented to illustrate the validity of results.

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Acknowledgments

The authors really appreciate the reviewers' valuable comments.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the Natural Science Foundation of Sichuan Province under grant 2022NSFSC1794, National Natural Science Foundation of China under grants 12201456, GuangDong Basic and Applied Basic Research Foundation under grant 2021A1515110530.

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