Exponential synchronization of stochastic coupled oscillators networks with delays. Issue 6 (26th April 2017)

• Record Type: Journal Article
• Authors: Zhang, Chunmei; Li, Wenxue; Wang, Ke
• Is Part Of: Applicable analysis. Volume 96:Issue 6(2017)
• Page Start: 1058
• Page End: 1075
• Publication Date: 2017-04-26
• Subjects: Exponential synchronization -- stochastic coupled oscillators network -- time-varying delay -- graph theory; 60H10 -- 34D06 -- 34C15; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1178240
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : This paper investigates the exponential synchronization problem of coupled oscillators networks with disturbances and time-varying delays. On basis of graph theory and stochastic analysis theory, a feedback control law is designed to achieve exponential synchronization. By constructing a global Lyapunov function for error network, both p th moment exponential synchronization and almost sure exponential synchronization of drive-response networks are obtained. Finally, a numerical example is given to show the effectiveness of the proposed criteria.