Stability and ℓ1-gain analysis for positive 2-D Markov jump systems. Issue 11 (18th August 2019)

• Record Type: Journal Article
• Authors: Chen, Yong; Zhao, Chang; Lam, James; Cui, Yukang; Kwok, Ka-Wai
• Is Part Of: International journal of systems science. Volume 50:Issue 11(2019)
• Page Start: 2077
• Page End: 2087
• Publication Date: 2019-08-18
• Subjects: 2-dimensional systems -- ℓ1-gain -- Markov jump systems -- positive systems -- stability analysis; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1645229
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper investigates the problems of stability and ℓ 1 -gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for ℓ 1 -gain computation are derived. Furthermore, the stability and ℓ 1 -gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings is verified through two numerical examples.