Delayed Impulsive Control for μ -Synchronization of Nonlinear Multi-Weighted Complex Networks with Uncertain Parameter Perturbation and Unbounded Delays

Hongguang Fan, Jiahui Tang, Kaibo Shi, Yi Zhao and Hui Wen ()
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Hongguang Fan: College of Computer, Chengdu University, Chengdu 610106, China
Jiahui Tang: College of Computer, Chengdu University, Chengdu 610106, China
Kaibo Shi: School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
Yi Zhao: College of Mathematical and Statistical, Shenzhen University, Shenzhen 518060, China
Hui Wen: Engineering Research Center of Big Data Application in Private Health Medicine, Fujian Province University, Putian 351100, China

Mathematics, 2023, vol. 11, issue 1, 1-17

Abstract: The global μ -synchronization problem for nonlinear multi-weighted complex dynamical networks with uncertain parameter perturbation and mixed time-varying delays is investigated in this paper. Unlike other existing works, all delays, including sampling and internal and coupling delays, are assumed to be unbounded, making the considered model more general and practical. Based on the generalized impulsive comparison principles, a time-varying impulsive controller with sampling delays is designed, and some new sufficient conditions are obtained to make drive–response multi-weighted networks reach μ -synchronization. In addition, the external coupling matrices do not need to meet the requirement of zero-row sum, and the limitation of time delay on pulse interval is weakened. The results obtained in this article can be seen as extensions of previous related research.

Keywords: multi-weighted network; synchronization; sampling instant; perturbation; unbounded delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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