Stabilisation of stochastic coupled systems via feedback control based on discrete-time state observations. Issue 13 (3rd October 2017)

• Record Type: Journal Article
• Authors: Wu, Yongbao; Li, Wenxue; Feng, Jiqiang
• Is Part Of: International journal of systems science. Volume 48:Issue 13(2017)
• Page Start: 2850
• Page End: 2859
• Publication Date: 2017-10-03
• Subjects: Exponentially stable -- stabilisation -- stochastic coupled systems -- discrete-time state -- feedback control; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2017.1344892
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper is concerned with the stabilisation of stochastic coupled systems (SCSs) via feedback control based on discrete-time state observations. State feedback control based on discrete-time observations is designed in the drift parts of the SCSs. Based on graph theory and Lyapunov method, the upper bound of the duration between two consecutive state observations is obtained. And a systematic method is given to construct a global Lyapunov function for SCSs via feedback control based on discrete-time state observations. A Lyapunov-type theorem and a coefficient-type criterion are obtained to guarantee the stabilisation in the sense of mean-square asymptotical stability and mean-square exponential stability. Furthermore, we use the theoretical results to analyse the stabilisation of stochastic coupled oscillators. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the developed theoretical results.