| 时变滞后Lurie型系统的改进稳定性准则 |
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| 作者姓名： | RAMAKRISHNAN Krishnan RAY Goshaidas |
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| 作者单位： | 1.Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India |
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| 摘 要： | In this technical note, we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach. The proposed analysis, owing to the candidate LK functional and tighter bounding of its time-derivative, yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively. The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.
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| 关 键 词： | Lurie systems absolute stability robust stability Lyapunov-Krasovskii functional linear matrix inequality |
| 收稿时间： | 2010-10-19 |
| 修稿时间： | 2010-12-27 |
Improved Stability Criteria for Lurie Type Systems with Time-varying Delay |
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| RAMAKRISHNAN Krishnan,RAY Goshaidas.Improved Stability Criteria for Lurie Type Systems with Time-varying Delay[J].Acta Automatica Sinica,2011,37(5):639-644. |
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| Authors: | RAMAKRISHNAN Krishnan RAY Goshaidas |
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| Affiliation: | 1.Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India |
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| Abstract: | In this technical note, we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach. The proposed analysis, owing to the candidate LK functional and tighter bounding of its time-derivative, yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively. The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example. |
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| Keywords: | Lurie systems absolute stability robust stability Lyapunov-Krasovskii functional linear matrix inequality |
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