Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes
The problem of H∞ control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to...
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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/10.1155/2014/198616 |
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| _version_ | 1832549607487307776 |
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| author | Bing Wang |
| author_facet | Bing Wang |
| author_sort | Bing Wang |
| collection | DOAJ |
| description | The problem of H∞ control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and an H∞ performance index. The finite-time H∞ control performance problem is solved and desired controller is given to ensure the system trajectory stays within a prescribed bound during a given time interval. At last, two numerical examples are provided to show that our results are less conservative than the existing ones. |
| format | Article |
| id | doaj-art-b30107c6321d4685be6f5211f25eb80c |
| 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-b30107c6321d4685be6f5211f25eb80c2025-02-03T06:10:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/198616198616Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems with Random Abrupt ChangesBing Wang0School of Information and Electrical Engineering, Panzhihua University, Panzhihua, Sichuan 617000, ChinaThe problem of H∞ control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and an H∞ performance index. The finite-time H∞ control performance problem is solved and desired controller is given to ensure the system trajectory stays within a prescribed bound during a given time interval. At last, two numerical examples are provided to show that our results are less conservative than the existing ones.http://dx.doi.org/10.1155/2014/198616 |
| spellingShingle | Bing Wang Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes Abstract and Applied Analysis |
| title | Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems
with Random Abrupt Changes |
| title_full | Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems
with Random Abrupt Changes |
| title_fullStr | Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems
with Random Abrupt Changes |
| title_full_unstemmed | Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems
with Random Abrupt Changes |
| title_short | Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems
with Random Abrupt Changes |
| title_sort | stochastic finite time h∞ performance analysis of continuous time systems with random abrupt changes |
| url | http://dx.doi.org/10.1155/2014/198616 |
| work_keys_str_mv | AT bingwang stochasticfinitetimehperformanceanalysisofcontinuoustimesystemswithrandomabruptchanges |