| 灰色线性时滞系统的稳定性 |
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| 引用本文： | 万上海,周宗福. 灰色线性时滞系统的稳定性[J]. 安徽工程科技学院学报：自然科学版, 2005, 20(2): 63-66 |
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| 作者姓名： | 万上海 周宗福 |
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| 作者单位： | 1. 安徽工程科技学院应用数理系,安徽,芜湖,241000
2. 安徽大学数学与计算科学学院,安徽,合肥,230039 |
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| 摘 要： | 在灰色系统的研究中,灰色时滞系统的稳定性是一个非常重要的问题.研究了一类灰色线性时滞微分系统的稳定性.利用泛函微分方程的Razumikhin 型稳定性定理、不稳定性定理及矩阵分析,建立了该灰色系统的一致渐近稳定性及不稳定性的判断准则,并通过具体例子说明准则的应用.所得结果改进了文[1]中关于该系统的一致渐近稳定性及不稳定性的条件的主要结论.
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| 关 键 词： | 灰色线性时滞系统 一致渐近稳定 不稳定 |
| 文章编号： | 1672-2477(2005)02-0063-04 |
| 修稿时间： | 2005-02-18 |
Stability of grey linear system with delay |
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| WAN Shang-hai,ZHOU Zong-fu. Stability of grey linear system with delay[J]. Journal of Anhui University of Technology and Science, 2005, 20(2): 63-66 |
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| Authors: | WAN Shang-hai ZHOU Zong-fu |
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| Abstract: | In the investigation of gray system, the stability of grey system with delay is a very important question. The paper studies the stability of a class of grey linear differential system with delay, and establishes the criteria of uniformly asymtotic stability and unstability for the system by using Razumikhin type theorems in functional differential equation and matrix analysis.An example is used to illustrate the application of the criteria. The results obtained improve the conclusions in [1] of the conditions of uniformly asymtotic stability and unstability for the system. |
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| Keywords: | Grey linear system with delay uniformly asymtotic stability unstable |
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