Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems
In this paper, we focus on discussing the delay-dependent dissipative filtering problem for a type of singular time-varying delay systems with random disturbance. At first, we construct a proper candidate Lyapunov-Krasovskii functional, then on the basis of an auxiliary vector function and the free...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8903286/ |
| _version_ | 1818330404024745984 |
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| author | Jingke Xu Shuangyun Xing Feiqi Deng |
| author_facet | Jingke Xu Shuangyun Xing Feiqi Deng |
| author_sort | Jingke Xu |
| collection | DOAJ |
| description | In this paper, we focus on discussing the delay-dependent dissipative filtering problem for a type of singular time-varying delay systems with random disturbance. At first, we construct a proper candidate Lyapunov-Krasovskii functional, then on the basis of an auxiliary vector function and the free weighting matrix technique, the stochastic admissibility and stochastic dissipation conditions for the considered filtering error system are derived. Furthermore, the corresponding filter design method is then proposed. In addition, we address the solving approach for the H<sub>∞</sub> filtering as a special case of dissipative filtering. The sufficient conditions are derived guaranteeing the stochastic admissibility for the filtering error system consideration, and achieving a prescribed performance index γ̂. At last, a numerical example is given to demonstrate the effectiveness of our proposed filter design method in the paper. |
| first_indexed | 2024-12-13T13:03:25Z |
| format | Article |
| id | doaj.art-4ca0740563e742439a57352a2b7578aa |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T13:03:25Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-4ca0740563e742439a57352a2b7578aa2022-12-21T23:44:54ZengIEEEIEEE Access2169-35362019-01-01716742916743710.1109/ACCESS.2019.29539458903286Dissipative Filtering for Stochastic Singular Time-Varying Delay SystemsJingke Xu0https://orcid.org/0000-0003-3241-4913Shuangyun Xing1https://orcid.org/0000-0002-1854-4730Feiqi Deng2https://orcid.org/0000-0002-0257-5647Department of Information and Control Engineering, Shenyang Jianzhu University, Shenyang, ChinaSchool of Science, Shenyang Jianzhu University, Shenyang, ChinaSystems Engineering Institute, South China University of Technology, Guangzhou, ChinaIn this paper, we focus on discussing the delay-dependent dissipative filtering problem for a type of singular time-varying delay systems with random disturbance. At first, we construct a proper candidate Lyapunov-Krasovskii functional, then on the basis of an auxiliary vector function and the free weighting matrix technique, the stochastic admissibility and stochastic dissipation conditions for the considered filtering error system are derived. Furthermore, the corresponding filter design method is then proposed. In addition, we address the solving approach for the H<sub>∞</sub> filtering as a special case of dissipative filtering. The sufficient conditions are derived guaranteeing the stochastic admissibility for the filtering error system consideration, and achieving a prescribed performance index γ̂. At last, a numerical example is given to demonstrate the effectiveness of our proposed filter design method in the paper.https://ieeexplore.ieee.org/document/8903286/Stochastic admissibilitydissipative filteringtime-varying delaysH∞ filtering |
| spellingShingle | Jingke Xu Shuangyun Xing Feiqi Deng Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems IEEE Access Stochastic admissibility dissipative filtering time-varying delays H∞ filtering |
| title | Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems |
| title_full | Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems |
| title_fullStr | Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems |
| title_full_unstemmed | Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems |
| title_short | Dissipative Filtering for Stochastic Singular Time-Varying Delay Systems |
| title_sort | dissipative filtering for stochastic singular time varying delay systems |
| topic | Stochastic admissibility dissipative filtering time-varying delays H∞ filtering |
| url | https://ieeexplore.ieee.org/document/8903286/ |
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