New Stabilization for Dynamical System with Two Additive Time-Varying Delays
This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/315817 |
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| _version_ | 1849686587396325376 |
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| author | Lianglin Xiong Fan Yang Xiaozhou Chen |
| author_facet | Lianglin Xiong Fan Yang Xiaozhou Chen |
| author_sort | Lianglin Xiong |
| collection | DOAJ |
| description | This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound
of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the combination of the delay decomposition technique and the reciprocally convex approach. Two examples are provided to demonstrate the less conservatism and effectiveness of the results in this paper. |
| format | Article |
| id | doaj-art-bfbbff208915415a8e01d2617c571292 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bfbbff208915415a8e01d2617c5712922025-08-20T03:22:39ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/315817315817New Stabilization for Dynamical System with Two Additive Time-Varying DelaysLianglin Xiong0Fan Yang1Xiaozhou Chen2School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650500, ChinaThis paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the combination of the delay decomposition technique and the reciprocally convex approach. Two examples are provided to demonstrate the less conservatism and effectiveness of the results in this paper.http://dx.doi.org/10.1155/2014/315817 |
| spellingShingle | Lianglin Xiong Fan Yang Xiaozhou Chen New Stabilization for Dynamical System with Two Additive Time-Varying Delays The Scientific World Journal |
| title | New Stabilization for Dynamical System with Two Additive Time-Varying Delays |
| title_full | New Stabilization for Dynamical System with Two Additive Time-Varying Delays |
| title_fullStr | New Stabilization for Dynamical System with Two Additive Time-Varying Delays |
| title_full_unstemmed | New Stabilization for Dynamical System with Two Additive Time-Varying Delays |
| title_short | New Stabilization for Dynamical System with Two Additive Time-Varying Delays |
| title_sort | new stabilization for dynamical system with two additive time varying delays |
| url | http://dx.doi.org/10.1155/2014/315817 |
| work_keys_str_mv | AT lianglinxiong newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays AT fanyang newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays AT xiaozhouchen newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays |