New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/268905 |
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| _version_ | 1832565141864972288 |
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| author | Sirada Pinjai Kanit Mukdasai |
| author_facet | Sirada Pinjai Kanit Mukdasai |
| author_sort | Sirada Pinjai |
| collection | DOAJ |
| description | This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods. |
| format | Article |
| id | doaj-art-0bee4cbd83f549cf85e5f5958b07ff17 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0bee4cbd83f549cf85e5f5958b07ff172025-02-03T01:09:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/268905268905New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear PerturbationsSirada Pinjai0Kanit Mukdasai1Department of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandThis paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.http://dx.doi.org/10.1155/2013/268905 |
| spellingShingle | Sirada Pinjai Kanit Mukdasai New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations Journal of Applied Mathematics |
| title | New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_full | New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_fullStr | New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_full_unstemmed | New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_short | New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_sort | new delay dependent robust exponential stability criteria of lpd neutral systems with mixed time varying delays and nonlinear perturbations |
| url | http://dx.doi.org/10.1155/2013/268905 |
| work_keys_str_mv | AT siradapinjai newdelaydependentrobustexponentialstabilitycriteriaoflpdneutralsystemswithmixedtimevaryingdelaysandnonlinearperturbations AT kanitmukdasai newdelaydependentrobustexponentialstabilitycriteriaoflpdneutralsystemswithmixedtimevaryingdelaysandnonlinearperturbations |