Stochastic finite-time stabilization for discrete-time positive Markov jump time-delay systems. Issue 1 (January 2022)

• Record Type: Journal Article
• Authors: Liu, Li-Juan; Zhang, Xuesong; Zhao, Xudong; Yang, Bin
• Is Part Of: Journal of the Franklin Institute. Volume 359:Issue 1(2022)
• Page Start: 84
• Page End: 103
• Publication Date: 2022-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2021.01.034
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: In this paper, the problems of stochastic finite-time stability and stabilization of discrete-time positive Markov jump systems are investigated. To deal with time-varying delays and switching transition probability (STP), stochastic finite-time stability conditions are established under mode-dependent average dwell time (MDADT) switching signal by developing a stochastic copositive Lyapunov-Krasovskii functional approach. Then a dual-mode dependent output feedback controller is designed, thus stochastic finite-time stabilization is achieved based on linear programming technique. Finally, two examples are given to show the effectiveness of our results.