| 时变时滞Lurie非线性系统绝对稳定新判据 |
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| 引用本文： | 曾红兵 何勇 吴敏 冯智勇. 时变时滞Lurie非线性系统绝对稳定新判据[J]. 控制与决策, 2010, 25(3): 346-350 |
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| 作者姓名： | 曾红兵 何勇 吴敏 冯智勇 |
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| 作者单位： | 1. 中南大学,信息科学与工程学院,长沙,410083;湖南工业大学,电气与信息工程学院,湖南,株洲,412008
2. 中南大学,信息科学与工程学院,长沙,410083 |
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| 基金项目： | 国家博士点基金项目(200805330004);;国家杰出青年科学基金项目(60425310);;湖南省杰出青年科学基金项目(08JJ1010);;教育部新世纪优秀人才支持计划项目(NCET-06-0679) |
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| 摘 要： | 针对时变时滞Lurie非线性系统,应用增广Lyapunov-Krasovskii泛函结合自由权矩阵方法,研究其时滞相关绝对稳定性问题.通过保留Lyapunov-Krasovskii泛函导数中常被忽略的有用信息,充分考虑时变时滞、时滞上界及它们的差三者之间的关系,得到了具有更低保守性的基于线性矩阵不等式的时滞相关绝对稳定条件.数值实例表明,该方法得出的结果优于已有文献的结果.
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| 关 键 词： | 时变时滞Lurie系统 绝对稳定 自由权矩阵 线性矩阵不等式 |
| 收稿时间： | 2009-04-09 |
| 修稿时间： | 2009-05-07 |
New Absolute Stability Criteria for Lurie Nonlinear Systems with Time-varying Delay |
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| ZENG Hong-bing,HE Yong,WU Min,FENG Zhi-yong. New Absolute Stability Criteria for Lurie Nonlinear Systems with Time-varying Delay[J]. Control and Decision, 2010, 25(3): 346-350 |
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| Authors: | ZENG Hong-bing HE Yong WU Min FENG Zhi-yong |
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| Affiliation: | 1.School of Information Science and Engineering/a>;Central South University/a>;Changsha 410083/a>;China/a>;2.School of Electrical and Information Engineering/a>;Hu'nan University of Technology/a>;Zhuzhou 412008/a>;China. |
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| Abstract: | The problem of absolute stability of Lurie nonlinear systems with time-varying delay is investigated by employing an augmented Lyapunov-Krasovskii functional and a free-weighting matrix approach. Some useful terms are retained,which are used to be ignored in the derivative of Lyapunov-Krasovskii functional. Furthermore,the relationship among the time-varying delay,its upper bound and their difference is taken adequately into account. As a result,some less conservative delay-dependent stability conditions ar... |
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| Keywords: | Lurie systems with time-varying delay Absolute stability Free-weighting matrix Linear matrix inequalitie |
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