Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach
This paper investigates the robust delay-dependent stability problem for neutral system with mixed delays and nonlinear perturbations. A delay decomposition approach is used in this paper in which the information of the delayed plant states can be taken into full consideration. Then, based on a spec...
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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/10.1155/2014/825715 |
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| _version_ | 1849684173128728576 |
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| author | Fang Qiu Quanxin Zhang |
| author_facet | Fang Qiu Quanxin Zhang |
| author_sort | Fang Qiu |
| collection | DOAJ |
| description | This paper investigates the robust delay-dependent stability problem for neutral system with mixed delays and nonlinear perturbations. A delay decomposition approach is used in this paper in which the information of the delayed plant states can be taken into full consideration. Then, based on a special Lyapunov functional approach, the novel delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the derived method and the improvement over some existing methods. |
| format | Article |
| id | doaj-art-bd9f5d21127a4eb0a7ac20abf06403c5 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd9f5d21127a4eb0a7ac20abf06403c52025-08-20T03:23:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/825715825715Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition ApproachFang Qiu0Quanxin Zhang1Department of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaThis paper investigates the robust delay-dependent stability problem for neutral system with mixed delays and nonlinear perturbations. A delay decomposition approach is used in this paper in which the information of the delayed plant states can be taken into full consideration. Then, based on a special Lyapunov functional approach, the novel delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the derived method and the improvement over some existing methods.http://dx.doi.org/10.1155/2014/825715 |
| spellingShingle | Fang Qiu Quanxin Zhang Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach Abstract and Applied Analysis |
| title | Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach |
| title_full | Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach |
| title_fullStr | Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach |
| title_full_unstemmed | Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach |
| title_short | Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach |
| title_sort | robust stability of neutral system with mixed time varying delays and nonlinear perturbations using delay decomposition approach |
| url | http://dx.doi.org/10.1155/2014/825715 |
| work_keys_str_mv | AT fangqiu robuststabilityofneutralsystemwithmixedtimevaryingdelaysandnonlinearperturbationsusingdelaydecompositionapproach AT quanxinzhang robuststabilityofneutralsystemwithmixedtimevaryingdelaysandnonlinearperturbationsusingdelaydecompositionapproach |