Title | ||
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The novel sufficient conditions of almost sure exponential stability for semi-Markov jump linear systems |
Abstract | ||
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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 |
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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 Wang | 1 | 59 | 6.09 |
Quanxin Zhu | 2 | 1100 | 67.69 |