| 线性中立型时滞系统的新指数稳定法则 |
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| 引用本文： | 刘龙,李明.线性中立型时滞系统的新指数稳定法则[J].黑龙江科技学院学报,2008,18(2):144-147. |
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| 作者姓名： | 刘龙 李明 |
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| 作者单位： | 1. 黑龙江科技学院,数力系,哈尔滨,150027
2. 哈尔滨工程大学,理学院,哈尔滨,150001 |
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| 摘 要： | 为研究线性中立型时滞系统的指数稳定性问题,构造一个新型的Lyapunov-Krasovskii泛函,基于线性矩阵不等式方法,给出指数稳定的时滞相关的充分条件.数值算例表明所得结论较某些已存在的结果提高了所允许的延时上界.
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| 关 键 词： | 指数稳定性 中立型时滞系统 线性矩阵不等式 |
| 文章编号： | 1671-0118(2008)02-0144-04 |
| 修稿时间： | 2008年1月10日 |
Novel criterion of exponential stability of linear neutral delay systems |
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| LIU Long,LI Ming.Novel criterion of exponential stability of linear neutral delay systems[J].Journal of Heilongjiang Institute of Science and Technology,2008,18(2):144-147. |
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| Authors: | LIU Long LI Ming |
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| Institution: | LIU Long1,LI Ming2(1.Department of Mathematics , Mechanics,Heilongjiang Institute of Science , Technology,Harbin 150027,China,2.School of Science,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | This paper discusses the exponential stability of linear neutral delay systems.The paper introduces the construction of new Lyapunov-Krasovskii functionals,and the formulation of a new delay-dependent sufficient condition for exponential stability in terms of linear matrix inequalities(LMIs).The paper offers Numerical examples to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature. |
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| Keywords: | exponential stability neutral delay systems linear matrix inequality |
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