Title
The novel sufficient conditions of almost sure exponential stability for semi-Markov jump linear systems
Abstract
This paper discusses the almost sure exponential stability problem for semi-Markov jump linear systems. By comprehensively utilizing the coupled Lyapunov matrices and the ergodic property of semi-Markov switching process, the novel sufficient stability conditions for the considered systems are obtained, which are expressed in terms of linear matrix inequalities and the probability structure of semi-Markov switching process. Finally, an example is given to illustrate the effectiveness of our results.
Year
DOI
Venue
2020
10.1016/j.sysconle.2020.104622
Systems & Control Letters
Keywords
Field
DocType
Semi-Markov jump linear system,Stationary distribution,Strong law of large numbers,Linear matrix inequality
Markov jump linear systems,Lyapunov function,Markovian jump linear systems,Applied mathematics,Matrix (mathematics),Control theory,Ergodic theory,Stability conditions,Exponential stability,Linear matrix,Mathematics
Journal
Volume
ISSN
Citations 
137
0167-6911
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Bao Wang1596.09
Quanxin Zhu2110067.69