New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional
This paper is concerned with the problem of the absolute and robustly absolute stability for the uncertain neutral-type Lur’e system with time-varying delays. By introducing a modified Lyapunov-Krasovskii functional (LKF) related to a delay-product-type function and two delay-dependent matrices, som...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/1706264 |
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| _version_ | 1832549407910789120 |
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| author | Wenyong Duan Yan Li Jian Chen Lin Jiang |
| author_facet | Wenyong Duan Yan Li Jian Chen Lin Jiang |
| author_sort | Wenyong Duan |
| collection | DOAJ |
| description | This paper is concerned with the problem of the absolute and robustly absolute stability for the uncertain neutral-type Lur’e system with time-varying delays. By introducing a modified Lyapunov-Krasovskii functional (LKF) related to a delay-product-type function and two delay-dependent matrices, some new delay-dependent robustly absolute stability criteria are proposed, which can be expressed as convex linear matrix inequality (LMI) framework. The criteria proposed in this paper are less conservative than some recent previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-da13c5873f8e45d99275b102f92f07c7 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-da13c5873f8e45d99275b102f92f07c72025-02-03T06:11:26ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/17062641706264New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii FunctionalWenyong Duan0Yan Li1Jian Chen2Lin Jiang3School of Electrical Engineering, Yancheng Institute of Technology, Yancheng Jiangsu, ChinaUndergraduate Office, Yancheng Biological Engineering Higher Vocational Technology School, Yancheng Jiangsu, ChinaSchool of Electrical Engineering, Yancheng Institute of Technology, Yancheng Jiangsu, ChinaDepartment of Electrical Engineering and Electronics, University of Liverpool, Liverpool, L69 3GJ, UKThis paper is concerned with the problem of the absolute and robustly absolute stability for the uncertain neutral-type Lur’e system with time-varying delays. By introducing a modified Lyapunov-Krasovskii functional (LKF) related to a delay-product-type function and two delay-dependent matrices, some new delay-dependent robustly absolute stability criteria are proposed, which can be expressed as convex linear matrix inequality (LMI) framework. The criteria proposed in this paper are less conservative than some recent previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2019/1706264 |
| spellingShingle | Wenyong Duan Yan Li Jian Chen Lin Jiang New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional Complexity |
| title | New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional |
| title_full | New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional |
| title_fullStr | New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional |
| title_full_unstemmed | New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional |
| title_short | New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional |
| title_sort | new results on stability analysis of uncertain neutral type lur e systems derived from a modified lyapunov krasovskii functional |
| url | http://dx.doi.org/10.1155/2019/1706264 |
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