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

Discrete-time state observations control to synchronization of hybrid-impulses complex-valued... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applicable Analysis Taylor & Francis

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

Applicable Analysis , Volume 103 (4): 20 – Mar 3, 2024
20 pages

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References (57)

Publisher
Taylor & Francis
Copyright
© 2023 Informa UK Limited, trading as Taylor & Francis Group
ISSN
0003-6811
eISSN
1563-504X
DOI
10.1080/00036811.2023.2209587
Publisher site
See Article on Publisher Site

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.

Journal

Applicable AnalysisTaylor & Francis

Published: Mar 3, 2024

Keywords: Hybrid impulses; stochastic complex-valued coupled systems; discrete-time state observations control; multi-links; coupled oscillators; 93-10; 93E03

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