| 具多变时滞中立型奇异微分系统的稳定性(英文) |
| |
| 引用本文： | 张海,蒋威.具多变时滞中立型奇异微分系统的稳定性(英文)[J].工程数学学报,2011,28(2). |
| |
| 作者姓名： | 张海 蒋威 |
| |
| 作者单位： | 安庆师范学院数学系;安徽大学数学科学学院; |
| |
| 基金项目： | The National Natural Science Foundation of China (10771001); the Special Research Fund for the Doctoral Program of Higher Education of China (20093401110001); the Natural Science Key Foundation of the Education Department of Anhui Province (KJ2010ZD02); the Natural Science Foundation of the Education Department of Anhui Province (KJ2008B152;KJ2009B098;KJ2011A197); the Foundation of Innovation Team of Anhui University |
| |
| 摘 要： | 本文讨论了中立型奇异泛函微分系统的稳定性问题.利用V泛函方法和差分算子的稳定性获得具变时滞中立型奇异微分系统的渐近稳定性判据.所得结果被描述为矩阵等式或者矩阵不等式,在计算上是可行和有效的,并给出例子说明了所得结果.
|
| 关 键 词： | 奇异微分系统 V泛函 差分算子 渐近稳定性 |
Stability of Neutral Singular Differential Systems with Multiple Time-varying Delays |
| |
| ZHANG Hai,JIANG Wei.Stability of Neutral Singular Differential Systems with Multiple Time-varying Delays[J].Chinese Journal of Engineering Mathematics,2011,28(2). |
| |
| Authors: | ZHANG Hai JIANG Wei |
| |
| Affiliation: | ZHANG Hai 1,2,JIANG Wei 2 (1-Department of Mathematics,Anqing Normal College,Anqing 246011,2-School of Mathematical Sciences,Anhui University,Hefei 230039) |
| |
| Abstract: | The stability problem for singular neutral functional differential systems is discussed in this paper.By applying a new V-functional method and the stability of the difference operator,some asymptotic stability criteria are derived for neutral singular differential systems with multiple time-varying delays.The criteria are described as matrix equations or matrix inequalities,which are flexible and efficient in numerical experiments.Some examples are given to illustrate the results. |
| |
| Keywords: | singular differential systems V-functional difference operator asymptotic stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
