Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components
This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix i...
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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/10.1155/2012/689820 |
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| _version_ | 1849397509470814208 |
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| author | Tiejun Li Junkang Tian |
| author_facet | Tiejun Li Junkang Tian |
| author_sort | Tiejun Li |
| collection | DOAJ |
| description | This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-ae2229330ad348ba898f670dfdb92d8b |
| 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-ae2229330ad348ba898f670dfdb92d8b2025-08-20T03:38:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/689820689820Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay ComponentsTiejun Li0Junkang Tian1State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaThis paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/689820 |
| spellingShingle | Tiejun Li Junkang Tian Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components Journal of Applied Mathematics |
| title | Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components |
| title_full | Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components |
| title_fullStr | Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components |
| title_full_unstemmed | Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components |
| title_short | Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components |
| title_sort | convex polyhedron method to stability of continuous systems with two additive time varying delay components |
| url | http://dx.doi.org/10.1155/2012/689820 |
| work_keys_str_mv | AT tiejunli convexpolyhedronmethodtostabilityofcontinuoussystemswithtwoadditivetimevaryingdelaycomponents AT junkangtian convexpolyhedronmethodtostabilityofcontinuoussystemswithtwoadditivetimevaryingdelaycomponents |