A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems
In this paper, the stability analysis problem of time-varying delay systems is studied. Based on recent research on Lyapunov-Krasovskii functionals (LKFs), relaxed conditions have been found to weaken some matrices in terms of LKFs, which means that some integral terms cannot be strictly positive de...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9541158/ |
| _version_ | 1818888783263694848 |
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| author | Liming Ding Dajiang He Xianwu Mi Wei Shu Fang Liao Linwen Shao |
| author_facet | Liming Ding Dajiang He Xianwu Mi Wei Shu Fang Liao Linwen Shao |
| author_sort | Liming Ding |
| collection | DOAJ |
| description | In this paper, the stability analysis problem of time-varying delay systems is studied. Based on recent research on Lyapunov-Krasovskii functionals (LKFs), relaxed conditions have been found to weaken some matrices in terms of LKFs, which means that some integral terms cannot be strictly positive definite. Therefore, motivate by this consideration, a new relaxed condition is constructed to weaken some matrices in constructed LKF. Then, for the sake of obtaining more information of time delays, dynamic delay interval (DDI) method was introduced to address the double integral terms with time-varying delay. Furthermore, some recent technologies are employed to process derivatives of LKF. As a consequence, a less conservative result is obtained. The examples given by previous papers are used to demonstrate the superiority of our work. |
| first_indexed | 2024-12-19T16:58:36Z |
| format | Article |
| id | doaj.art-c509112014a04292b784c4e0c5c9b1e2 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T16:58:36Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-c509112014a04292b784c4e0c5c9b1e22022-12-21T20:13:21ZengIEEEIEEE Access2169-35362021-01-01913056213056910.1109/ACCESS.2021.31140019541158A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay SystemsLiming Ding0https://orcid.org/0000-0002-0928-6848Dajiang He1Xianwu Mi2Wei Shu3Fang Liao4Linwen Shao5College of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaCollege of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaCollege of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaCollege of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaCollege of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaCollege of Electrical and Information Engineering, Huaihua University, Huaihua, ChinaIn this paper, the stability analysis problem of time-varying delay systems is studied. Based on recent research on Lyapunov-Krasovskii functionals (LKFs), relaxed conditions have been found to weaken some matrices in terms of LKFs, which means that some integral terms cannot be strictly positive definite. Therefore, motivate by this consideration, a new relaxed condition is constructed to weaken some matrices in constructed LKF. Then, for the sake of obtaining more information of time delays, dynamic delay interval (DDI) method was introduced to address the double integral terms with time-varying delay. Furthermore, some recent technologies are employed to process derivatives of LKF. As a consequence, a less conservative result is obtained. The examples given by previous papers are used to demonstrate the superiority of our work.https://ieeexplore.ieee.org/document/9541158/Relaxed conditionLyapunov-Krasovskii functional (LKF)stability analysistime-varying delay systems |
| spellingShingle | Liming Ding Dajiang He Xianwu Mi Wei Shu Fang Liao Linwen Shao A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems IEEE Access Relaxed condition Lyapunov-Krasovskii functional (LKF) stability analysis time-varying delay systems |
| title | A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems |
| title_full | A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems |
| title_fullStr | A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems |
| title_full_unstemmed | A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems |
| title_short | A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems |
| title_sort | new relaxed lyapunov krasovskii functional for stability analysis of time varying delay systems |
| topic | Relaxed condition Lyapunov-Krasovskii functional (LKF) stability analysis time-varying delay systems |
| url | https://ieeexplore.ieee.org/document/9541158/ |
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