Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control

Beibei Guo, Yinhu Wu, Yu Xiao and Chiping Zhang

Applied Mathematics and Computation, 2018, vol. 331, issue C, 341-357

Abstract: This article concerns the inner exponential synchronization (IES) problem of a class of stochastic coupled systems with time-varying delays on networks (SCSTDNs). Periodically intermittent control is imposed on SCSTDNs to realize IES. By combining graph theory with Lyapunov method, a Lyapunov function is constructed and some sufficient conditions guaranteeing IES of SCSTDNs under periodically intermittent control are derived. Additionally, the analysis of IES for a stochastic coupled oscillators model with time-varying delays is performed to show the applicability of the analytical results. Finally, an example with numerical simulation is presented to illustrate the validity of our theoretical results.

Keywords: Inner exponential synchronization; Graph theory; Periodically intermittent control; Stochastic coupled systems; Stochastic coupled oscillators (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:331:y:2018:i:c:p:341-357

DOI: 10.1016/j.amc.2018.03.020

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