Stabilization problem of stochastic time-varying coupled systems with time delay and feedback control. Issue 11 (18th August 2018)

• Record Type: Journal Article
• Authors: Liu, Yan; Jia, Wenwen; Li, Wenxue
• Is Part Of: Applicable analysis. Volume 97:Issue 11(2018)
• Page Start: 1983
• Page End: 2000
• Publication Date: 2018-08-18
• Subjects: Time-varying coupling structure -- time delay -- feedback control -- stabilization -- stochastic coupled systems; 45R05 -- 60H20 -- 93D15; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1350846
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: The stabilization of stochastic coupled systems with time delay and time-varying coupling structure (SCSTT) via feedback control is investigated. We generalize systems with constant coupling structure to the time-varying coupling structure. Combining the graph theory with the Lyapunov method, a systematic method is provided to construct a Lyapunov function for SCSTT, and a Lyapunov-type theorem and a coefficient-type criterion are obtained to guarantee the stabilization in the sense of p th moment exponential stability. Furthermore, theoretical results are applied to analyze the stabilization of stochastic-coupled oscillators with time delay and time-varying coupling structure in order to illustrate the practicability of the results. Finally, two numerical examples are given to illustrate the effectiveness and feasibility of theoretical results.