Stability and stabilization analysis of Markovian jump systems with generally bounded transition probabilities. Issue 13 (September 2020)

• Record Type: Journal Article
• Authors: Li, Xiaohang; Zhang, Weidong; Lu, Dunke
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 13(2020)
• Page Start: 8416
• Page End: 8434
• Publication Date: 2020-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.04.013
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper addresses the stability and stabilization problems for a kind of continuous-time and discrete-time Markovian jump systems, in which the transition rate (probability) is generally bounded, thus making these systems more general and realistic. In fact, those existing transition rates (probabilities) can be treated as the special cases of the generally bounded type. Apropos of the Markovian jump system with generally bounded transition rates, sufficient conditions of the stability and stabilization are developed in terms of linear matrix inequalities. For good measure, some numerical and practical examples are given to show the effectiveness and practicability of the proposed method.