Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay
This paper deals with the absolute stability for a class of nonlinear singular systems with time delay. By employing a new Lyapunov-Krasovskii functional with the idea of partitioning delay length, improved delay-dependent stability criteria are established. The resulting condition is formulated in...
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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/10.1155/2014/927024 |
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| _version_ | 1849473230256996352 |
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| author | Hong-Bing Zeng Gang Chen Shen-Ping Xiao |
| author_facet | Hong-Bing Zeng Gang Chen Shen-Ping Xiao |
| author_sort | Hong-Bing Zeng |
| collection | DOAJ |
| description | This paper deals with the absolute stability for a class of nonlinear singular systems with time delay. By employing a new Lyapunov-Krasovskii functional with the idea of partitioning delay length, improved delay-dependent stability criteria are established. The resulting condition is formulated in terms of linear matrix inequalities (LMIs), which is easy to be verified by exiting LMI optimization algorithms. A numerical example is given to show the effectiveness of the proposed technique and its improvements over the existing results. |
| format | Article |
| id | doaj-art-d3e9c052b2ac4ae58991c7b7be6f6b83 |
| 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-d3e9c052b2ac4ae58991c7b7be6f6b832025-08-20T03:24:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/927024927024Absolute Stability of a Class of Nonlinear Singular Systems with Time DelayHong-Bing Zeng0Gang Chen1Shen-Ping Xiao2School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaThis paper deals with the absolute stability for a class of nonlinear singular systems with time delay. By employing a new Lyapunov-Krasovskii functional with the idea of partitioning delay length, improved delay-dependent stability criteria are established. The resulting condition is formulated in terms of linear matrix inequalities (LMIs), which is easy to be verified by exiting LMI optimization algorithms. A numerical example is given to show the effectiveness of the proposed technique and its improvements over the existing results.http://dx.doi.org/10.1155/2014/927024 |
| spellingShingle | Hong-Bing Zeng Gang Chen Shen-Ping Xiao Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay Abstract and Applied Analysis |
| title | Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay |
| title_full | Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay |
| title_fullStr | Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay |
| title_full_unstemmed | Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay |
| title_short | Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay |
| title_sort | absolute stability of a class of nonlinear singular systems with time delay |
| url | http://dx.doi.org/10.1155/2014/927024 |
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