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

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.

KEYWORDS:

• Hybrid impulses
• stochastic complex-valued coupled systems
• discrete-time state observations control
• multi-links
• coupled oscillators

AMS SUBJECT CLASSIFICATIONS:

• 93-10
• 93E03

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.