Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates
This paper is concerned with the robust quantized state-feedback controller design problem for a class of continuous-time Markovian jump linear uncertain systems with general uncertain transition rates and input quantization. The uncertainties under consideration emerge in both system parameters and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/961925 |
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| _version_ | 1832556227968630784 |
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| author | Yanbo Li Peng Zhang Yonggui Kao Hamid Reza Karimi |
| author_facet | Yanbo Li Peng Zhang Yonggui Kao Hamid Reza Karimi |
| author_sort | Yanbo Li |
| collection | DOAJ |
| description | This paper is concerned with the robust quantized state-feedback controller design problem for a class
of continuous-time Markovian jump linear uncertain systems with general uncertain transition rates and
input quantization. The uncertainties under consideration emerge in both system parameters and mode
transition rates. This new uncertain model is more general than the existing ones and can be applicable
to more practical situations because each transition rate can be completely unknown or only its estimate
value is known. Based on linear matrix inequalities, the quantized state-feedback controller is formulated
to ensure the closed-loop system is stable in mean square. Finally, a numerical example is presented to
verify the validity of the developed theoretical results. |
| format | Article |
| id | doaj-art-e3a586c8873b4340aec14a0de4576966 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3a586c8873b4340aec14a0de45769662025-02-03T05:45:59ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/961925961925Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition RatesYanbo Li0Peng Zhang1Yonggui Kao2Hamid Reza Karimi3School of Mathematical Sciences, Guangxi Teachers Education University, Guangxi 530001, ChinaSchool of Materials Science and Engineering, Harbin Institute of Technology, Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaDepartment of Engineering, Faculty of Technology and Science, University of Agder, 4898 Grimstad, NorwayThis paper is concerned with the robust quantized state-feedback controller design problem for a class of continuous-time Markovian jump linear uncertain systems with general uncertain transition rates and input quantization. The uncertainties under consideration emerge in both system parameters and mode transition rates. This new uncertain model is more general than the existing ones and can be applicable to more practical situations because each transition rate can be completely unknown or only its estimate value is known. Based on linear matrix inequalities, the quantized state-feedback controller is formulated to ensure the closed-loop system is stable in mean square. Finally, a numerical example is presented to verify the validity of the developed theoretical results.http://dx.doi.org/10.1155/2014/961925 |
| spellingShingle | Yanbo Li Peng Zhang Yonggui Kao Hamid Reza Karimi Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates Abstract and Applied Analysis |
| title | Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates |
| title_full | Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates |
| title_fullStr | Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates |
| title_full_unstemmed | Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates |
| title_short | Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates |
| title_sort | quantized state feedback stabilization for delayed markovian jump linear systems with generally incomplete transition rates |
| url | http://dx.doi.org/10.1155/2014/961925 |
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