New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays
This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-depe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/929725 |
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| _version_ | 1832549622645522432 |
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| author | Narongsak Yotha Kanit Mukdasai |
| author_facet | Narongsak Yotha Kanit Mukdasai |
| author_sort | Narongsak Yotha |
| collection | DOAJ |
| description | This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated 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-ef5b000b4e1b4059b5a24f62baf13d8e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ef5b000b4e1b4059b5a24f62baf13d8e2025-02-03T06:10:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/929725929725New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying DelaysNarongsak Yotha0Kanit Mukdasai1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThis paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated 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/10.1155/2013/929725 |
| spellingShingle | Narongsak Yotha Kanit Mukdasai New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays |
| title_full | New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays |
| title_fullStr | New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays |
| title_full_unstemmed | New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays |
| title_short | New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays |
| title_sort | new delay dependent robust stability criterion for lpd discrete time systems with interval time varying delays |
| url | http://dx.doi.org/10.1155/2013/929725 |
| work_keys_str_mv | AT narongsakyotha newdelaydependentrobuststabilitycriterionforlpddiscretetimesystemswithintervaltimevaryingdelays AT kanitmukdasai newdelaydependentrobuststabilitycriterionforlpddiscretetimesystemswithintervaltimevaryingdelays |