Title | ||
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Investigation on Stability of Positive Singular Markovian Jump Systems With Mode-Dependent Derivative-Term Coefficient |
Abstract | ||
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This article investigates stochastic stability of positive singular Markovian jump systems (PSMJSs) with mode-dependent derivative-term coefficient. Different from the existing results, the condition on stochastic stability of PSMJSs associated with state jumps behavior at switching instants is given by means of linear co-positive Lyapunuov function. On the basis of it, the conditions on stochastic stability under the cases of partially known transition rates and uncertain transition rates have been presented, respectively. All obtained conditions can be solved by linear programming (LP) technique. Finally, an example is introduced to illustrate the effectiveness and the merits of the results proposed in this article. |
Year | DOI | Venue |
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2022 | 10.1109/TSMC.2020.3020271 | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
Keywords | DocType | Volume |
Mode-dependent derivative-term coefficient,positive singular Markovian jump systems (PSMJSs),state jumps,stochastic stability,transition rates | Journal | 52 |
Issue | ISSN | Citations |
3 | 2168-2216 | 1 |
PageRank | References | Authors |
0.35 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Di Zhang | 1 | 64 | 20.01 |
Baozhu Du | 2 | 297 | 17.87 |
Yuanwei Jing | 3 | 183 | 40.09 |
Xingjian Sun | 4 | 13 | 1.83 |