| 线性中立型系统的渐近稳定性和衰减速度估计 |
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| 引用本文： | 王莉,年晓红.线性中立型系统的渐近稳定性和衰减速度估计[J].湖南科技大学学报(自然科学版),2004,19(3):92-94. |
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| 作者姓名： | 王莉 年晓红 |
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| 作者单位： | 中南大学,信息科学与工程学院,湖南,长沙,410075 |
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| 摘 要： | 运用Lyapunov泛函方法讨论了具有单个时滞和多个时滞的线性中立型系统的渐近稳定性,分别给出了一个时滞和多个时滞的线性中立型系统渐近稳定的时滞无关条件.同时还讨论了线性中立型时滞系统的衰减速度问题,给出了系统衰减速度的一个估计.通过给出结果的示例,并与前人结果进行比较,结果表明该文的结论优于一些前人的结果.参13.
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| 关 键 词： | 时滞 线性 中立型系统 渐近稳定 衰减速度 |
| 文章编号： | 1672-9102(2004)03-0092-03 |
| 修稿时间： | 2004年1月10日 |
Asymptotic stability and estimate of the decay rate for linear neutral type systems |
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| WANG Li,NIAN Xiao-hong.Asymptotic stability and estimate of the decay rate for linear neutral type systems[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2004,19(3):92-94. |
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| Authors: | WANG Li NIAN Xiao-hong |
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| Abstract: | By using Lyapunov functional method,the problem for asymptotic stability of linear neutral type systems with single delay and multiple delays are studied respectively.Some sufficient conditions for delay-independent asymptotical stability of linear neutral type time-delay systems are proposed.Furthermore the decay rate for the linear neutral type systems with time-delay is also studied,an algebraic condition for estimating the decay rate of linear neutral type systems with time-delay is obtained.Finally,a numerical example is given to illustrate the main results of the paper and make a comparison with previous results in literatures.It is shown that the main result of this paper is superior to those in literatures.13refs. |
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| Keywords: | time-delay linear neutral system asymptotic stability decay rate |
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