Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay
This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (LPD) discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under considera...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/237430 |
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| _version_ | 1832545258602233856 |
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| author | Kanit Mukdasai |
| author_facet | Kanit Mukdasai |
| author_sort | Kanit Mukdasai |
| collection | DOAJ |
| description | This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (LPD) discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality (LMI) technique and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust exponential stability are obtained in terms of LMI. Numerical examples are given to demonstrate the effectiveness and less conservativeness
of the proposed methods. |
| format | Article |
| id | doaj-art-b5b5490c5d494b67ba238350aa2cd2cb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b5b5490c5d494b67ba238350aa2cd2cb2025-02-03T07:26:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/237430237430Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying DelayKanit Mukdasai0Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThis paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (LPD) discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality (LMI) technique and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust exponential stability are obtained in terms of LMI. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.http://dx.doi.org/10.1155/2012/237430 |
| spellingShingle | Kanit Mukdasai Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay Journal of Applied Mathematics |
| title | Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay |
| title_full | Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay |
| title_fullStr | Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay |
| title_full_unstemmed | Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay |
| title_short | Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay |
| title_sort | robust exponential stability for lpd discrete time system with interval time varying delay |
| url | http://dx.doi.org/10.1155/2012/237430 |
| work_keys_str_mv | AT kanitmukdasai robustexponentialstabilityforlpddiscretetimesystemwithintervaltimevaryingdelay |