Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay
This paper focuses on addressing the issue of absolute stability for uncertain Lur’e systems with time-varying delay using a delay-segmentation approach. The approach involves decomposing the delay interval into two distinct subintervals of unequal lengths. This allows for the introduction of a dela...
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| Format: | Article |
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MDPI AG
2024-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/4/583 |
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| author | Wei Wang Jinming Liang Mihan Liu Liming Ding Hongbing Zeng |
| author_facet | Wei Wang Jinming Liang Mihan Liu Liming Ding Hongbing Zeng |
| author_sort | Wei Wang |
| collection | DOAJ |
| description | This paper focuses on addressing the issue of absolute stability for uncertain Lur’e systems with time-varying delay using a delay-segmentation approach. The approach involves decomposing the delay interval into two distinct subintervals of unequal lengths. This allows for the introduction of a delay-segmentation-based augmented Lyapunov–Krasovskii functional that ensures piecewise continuity at the partition points. By selecting two sets of Lyapunov matrices for the time-varying delay in each interval, the obtained results are less conservative, providing a more accurate assessment of absolute stability. Finally, a numerical example is given to demonstrate the superiority of the delay-segmentation approach. |
| first_indexed | 2024-03-07T22:23:02Z |
| format | Article |
| id | doaj.art-9ffacdcb6e404e81ba9e37d6f9b17e89 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-07T22:23:02Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9ffacdcb6e404e81ba9e37d6f9b17e892024-02-23T15:26:13ZengMDPI AGMathematics2227-73902024-02-0112458310.3390/math12040583Novel Robust Stability Criteria for Lur’e Systems with Time-Varying DelayWei Wang0Jinming Liang1Mihan Liu2Liming Ding3Hongbing Zeng4School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua 418008, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaThis paper focuses on addressing the issue of absolute stability for uncertain Lur’e systems with time-varying delay using a delay-segmentation approach. The approach involves decomposing the delay interval into two distinct subintervals of unequal lengths. This allows for the introduction of a delay-segmentation-based augmented Lyapunov–Krasovskii functional that ensures piecewise continuity at the partition points. By selecting two sets of Lyapunov matrices for the time-varying delay in each interval, the obtained results are less conservative, providing a more accurate assessment of absolute stability. Finally, a numerical example is given to demonstrate the superiority of the delay-segmentation approach.https://www.mdpi.com/2227-7390/12/4/583Lur’e systemabsolute stabilityLyapunov–Krasovskii functionaltime-varying delaydelay-segmentation approach |
| spellingShingle | Wei Wang Jinming Liang Mihan Liu Liming Ding Hongbing Zeng Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay Mathematics Lur’e system absolute stability Lyapunov–Krasovskii functional time-varying delay delay-segmentation approach |
| title | Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay |
| title_full | Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay |
| title_fullStr | Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay |
| title_full_unstemmed | Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay |
| title_short | Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay |
| title_sort | novel robust stability criteria for lur e systems with time varying delay |
| topic | Lur’e system absolute stability Lyapunov–Krasovskii functional time-varying delay delay-segmentation approach |
| url | https://www.mdpi.com/2227-7390/12/4/583 |
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