Hybrid Impulsive Pinning Control for Mean Square Synchronization of Uncertain Multi-Link Complex Networks with Stochastic Characteristics and Hybrid Delays

Yong Tang, Lang Zhou, Jiahui Tang, Yue Rao, Hongguang Fan () and Jihong Zhu
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Yong Tang: College of Computer, Chengdu University, Chengdu 610106, China
Lang Zhou: College of Computer, Chengdu University, Chengdu 610106, China
Jiahui Tang: College of Computer, Chengdu University, Chengdu 610106, China
Yue Rao: College of Computer, Chengdu University, Chengdu 610106, China
Hongguang Fan: College of Computer, Chengdu University, Chengdu 610106, China
Jihong Zhu: College of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000, China

Mathematics, 2023, vol. 11, issue 7, 1-18

Abstract: This study explores the synchronization issue for uncertain multi-link complex networks incorporating stochastic characteristics and hybrid delays. Unlike previous works, internal delays, coupling delays, and stochastic delays considered in our model change over time; meanwhile, the impulse strength and position change with time evolution. To actualize network synchronization, a strategy called hybrid impulsive pinning control is applied, which combines the virtue of impulsive control and pinning control as well as two categories of impulses (i.e., synchronization and desynchronization). By decomposing the complicated topological structures into diagonal items and off-diagonal items, multiple nonlinear coupling terms are linearly decomposed in the process of theoretical analysis. Combining inequality technology and matrix decomposition theory, several novel synchronization criteria have been gained to ensure synchronization for the concerning multi-link model. The criteria get in touch with the uncertain strengths, coupling strengths, hybrid impulse strengths, delay sizes, impulsive intervals, and network topologies.

Keywords: multi-link network; mean square synchronization; stochastic characteristics; impulsive pinning control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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