摘要
本文对非线性自治系统的扰动系统进行研究,探讨其零解的稳定性问题,借助于K类函数的相关结论,提出了控制函数对的概念,并在此基础上,对随时间变化的扰动量进行分析,在原自治系统的零解渐近稳定的前提下,对扰动量进行合理假设,证明了在扰动量满足一定条件时,扰动系统的零解仍具有稳定性.
In this paper, a kind of time-varying perturbed system is studied. Control functions are presented with the help of the results of Class K functions. It shows that zero solution of the perturbed system is also stable under certain conditions of the disturbing quantity.
出处
《西南民族大学学报（自然科学版）》
CAS
2010年第1期25-27,共3页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
K类函数
扰动系统
控制函数对
零解的稳定性
class K function
perturbed system
control function
stability of zero solution
