Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates
The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free mat...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/450168 |
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| _version_ | 1832556146637930496 |
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| author | Lianglin Xiong Xiaobing Zhou Jie Qiu Jing Lei |
| author_facet | Lianglin Xiong Xiaobing Zhou Jie Qiu Jing Lei |
| author_sort | Lianglin Xiong |
| collection | DOAJ |
| description | The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is
firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided. |
| format | Article |
| id | doaj-art-9a74977230684893bfc1dc8beeec8d2f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9a74977230684893bfc1dc8beeec8d2f2025-02-03T05:46:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/450168450168Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition RatesLianglin Xiong0Xiaobing Zhou1Jie Qiu2Jing Lei3School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, ChinaSchool of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaLibrary of Yunnan, University of Nationalities, Kunming 650031, ChinaSchool of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, ChinaThe delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided.http://dx.doi.org/10.1155/2012/450168 |
| spellingShingle | Lianglin Xiong Xiaobing Zhou Jie Qiu Jing Lei Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates Abstract and Applied Analysis |
| title | Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates |
| title_full | Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates |
| title_fullStr | Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates |
| title_full_unstemmed | Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates |
| title_short | Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates |
| title_sort | stability analysis for markovian jump neutral systems with mixed delays and partially known transition rates |
| url | http://dx.doi.org/10.1155/2012/450168 |
| work_keys_str_mv | AT lianglinxiong stabilityanalysisformarkovianjumpneutralsystemswithmixeddelaysandpartiallyknowntransitionrates AT xiaobingzhou stabilityanalysisformarkovianjumpneutralsystemswithmixeddelaysandpartiallyknowntransitionrates AT jieqiu stabilityanalysisformarkovianjumpneutralsystemswithmixeddelaysandpartiallyknowntransitionrates AT jinglei stabilityanalysisformarkovianjumpneutralsystemswithmixeddelaysandpartiallyknowntransitionrates |