Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay
This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-de...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/347129 |
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| _version_ | 1849413488026320896 |
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| author | Jun Li Weigen Wu Jimin Yuan Qianrong Tan Xing Yin |
| author_facet | Jun Li Weigen Wu Jimin Yuan Qianrong Tan Xing Yin |
| author_sort | Jun Li |
| collection | DOAJ |
| description | This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear
systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting
matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically
stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of
uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner
system. Two examples illustrate the exactness of the proposed criterions. |
| format | Article |
| id | doaj-art-6f746c0ba7334e7a84e651fec8d903ed |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6f746c0ba7334e7a84e651fec8d903ed2025-08-20T03:34:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/347129347129Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying DelayJun Li0Weigen Wu1Jimin Yuan2Qianrong Tan3Xing Yin4College of Computer, Pan Zhi Hua University, Panzhihua 617000, ChinaCollege of Computer, Pan Zhi Hua University, Panzhihua 617000, ChinaCollege of Computer, Pan Zhi Hua University, Panzhihua 617000, ChinaCollege of Computer, Pan Zhi Hua University, Panzhihua 617000, ChinaCollege of Computer, Pan Zhi Hua University, Panzhihua 617000, ChinaThis paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions.http://dx.doi.org/10.1155/2010/347129 |
| spellingShingle | Jun Li Weigen Wu Jimin Yuan Qianrong Tan Xing Yin Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay Discrete Dynamics in Nature and Society |
| title | Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay |
| title_full | Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay |
| title_fullStr | Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay |
| title_full_unstemmed | Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay |
| title_short | Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay |
| title_sort | delay dependent stability criterion of arbitrary switched linear systems with time varying delay |
| url | http://dx.doi.org/10.1155/2010/347129 |
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