Finite-time stabilization of stochastic coupled systems on networks by feedback control and its application. (7th November 2019)

• Record Type: Journal Article
• Authors: Wu, Yongbao; Li, Wenxue; Feng, Jiqiang
• Is Part Of: IMA journal of mathematical control and information. Volume 37:Number 3(2020)
• Page Start: 814
• Page End: 830
• Publication Date: 2019-11-07
• Subjects: finite-time stabilization -- stochastic coupled systems -- stochastic coupled oscillators -- graph theory; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnz027
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: In this paper, the finite-time stabilization of stochastic coupled systems on networks (SCSNs) is studied. Different from previous research methods, the method used in this paper combines Lyapunov method with graph theory, and some novel sufficient conditions are obtained to ensure finite-time stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks. As a practical application in physics, we address a concrete finite-time stabilization problem of stochastic coupled oscillators through our main results. In addition, a numerical example is presented to illustrate the effectiveness and feasibility of the theoretical results.