Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/348418 |
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| _version_ | 1849304279145250816 |
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| author | Kanit Mukdasai Akkharaphong Wongphat Piyapong Niamsup |
| author_facet | Kanit Mukdasai Akkharaphong Wongphat Piyapong Niamsup |
| author_sort | Kanit Mukdasai |
| collection | DOAJ |
| description | This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. |
| format | Article |
| id | doaj-art-199c1e8964014d40a3ee38f5eb2d987d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-199c1e8964014d40a3ee38f5eb2d987d2025-08-20T03:55:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/348418348418Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear PerturbationsKanit Mukdasai0Akkharaphong Wongphat1Piyapong Niamsup2Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandCentre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, ThailandThis paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.http://dx.doi.org/10.1155/2012/348418 |
| spellingShingle | Kanit Mukdasai Akkharaphong Wongphat Piyapong Niamsup Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations Abstract and Applied Analysis |
| title | Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_full | Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_fullStr | Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_full_unstemmed | Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_short | Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations |
| title_sort | robust exponential stability criteria of lpd systems with mixed time varying delays and nonlinear perturbations |
| url | http://dx.doi.org/10.1155/2012/348418 |
| work_keys_str_mv | AT kanitmukdasai robustexponentialstabilitycriteriaoflpdsystemswithmixedtimevaryingdelaysandnonlinearperturbations AT akkharaphongwongphat robustexponentialstabilitycriteriaoflpdsystemswithmixedtimevaryingdelaysandnonlinearperturbations AT piyapongniamsup robustexponentialstabilitycriteriaoflpdsystemswithmixedtimevaryingdelaysandnonlinearperturbations |