Synchronization analysis of stochastic coupled systems with time delay on networks by periodically intermittent control and graph-theoretic method. (November 2018)

• Record Type: Journal Article
• Authors: Guo, Beibei; Xiao, Yu; Zhang, Chiping
• Is Part Of: Nonlinear analysis. Volume 30(2018)
• Page Start: 118
• Page End: 133
• Publication Date: 2018-11
• Subjects: Inner exponential synchronization -- Graph theory -- Periodically intermittent control -- Stochastic coupled systems -- Second-order Kuramoto oscillators; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.05.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the issue of inner exponential synchronization (IES) for a class of stochastic coupled systems with time-varying delay on networks (SCSTVDNs) is investigated. A periodically intermittent control strategy is introduced to drive such SCSTVDNs to achieve IES. By exploiting Lyapunov method and Kirchhoffs matrix tree theorem in graph theory, two types of sufficient IES criteria are respectively established in the form of Lyapunov-type theorem and coefficients-type theorem. Furthermore, to show the practicability of the theoretical results, the analysis of IES for the second-order Kuramoto oscillators with stochastic perturbations and time-varying delay is performed. A numerical example is finally provided to demonstrate the validity and feasibility of our analytical results.