摘要
通过一个限制函数和线性系统的矩阵测度满足的几个不等式,利用概念和压缩映射原理研究了一类时滞微分系统的零解的渐近稳定性,将已有的一维扰动方程的稳定性结果推广到了高维系统,补充了该领域研究的某些成果.最后给出了一个例子,且与Liapunov方法的相应结果作了比较.
The asymptotic stability of the zero solution of a delay-differential system was investigated by means of the matrix measure and the contraction mapping principle through a restriction function and several inequalities satisfied with the matrix measure of a linear system. The result of one-dimensional perturbed equation was generalized to the multi-dimensional system, some research results obtained in the field was supplemented. Finally, an example was given to illustrate the result and make a comparison with the result of Liapunov method.
出处
《空军雷达学院学报》
2009年第3期203-204,209,共3页
Journal of Air Force Radar Academy
关键词
不动点
时滞微分系统
渐近稳定
矩阵测度
压缩映射原理
fixed point
delay-differential systems
asymptotic stability
matrix measure
contraction mapping principle
