Title
Stability And L(1)-Gain Analysis For Positive 2-D Markov Jump Systems
Abstract
This paper investigates the problems of stability and -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 -gain computation are derived. Furthermore, the stability and -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.
Year
DOI
Venue
2019
10.1080/00207721.2019.1645229
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
2-dimensional systems, l(1)-gain, Markov jump systems, positive systems, stability analysis
Applied mathematics,Mathematical optimization,Markov chain,Jump,Mathematics,Positive systems
Journal
Volume
Issue
ISSN
50
11
0020-7721
Citations 
PageRank 
References 
1
0.35
0
Authors
5
Name
Order
Citations
PageRank
Yong Chen15212.67
Chang Zhao210.35
James Lam35305319.63
Yukang Cui4225.35
Ka Wai Kwok516727.10