摘要
本文借助变换技巧及 Lyapunov 函效法,应用比较原理,研究了形如(dX(t)/dt)=■X(t)的二阶时变线性系统的稳定性,得到了平凡解稳定的若干充分条件.举例说明用所得定理判别稳定性的优点在于不需考虑系统的系数矩阵的特征值,取消了一些定理中的某些条件,说明了此定理具有一定的实用性.
The purpose of the paper is to develop the stability of second order linear systems with time-varying coefficients such as X(t)with the help of transformation technique,comparision principle and Lyapunov function method.Some suf- ficient conditions for a stable trival solution are obtained.A example demonstrates the ad- vantage of the obtained theorem in identifying the stability.It is shown that the coeffi- cient matrices did not need to be considered,and some conditions in certain theorems might be cancelled.
出处
《沈阳化工学院学报》
1992年第1期75-82,共8页
Journal of Shenyang Institute of Chemical Technolgy
关键词
稳定性
线性系统
LYAPUNOV函数
stability
second order linear system with time-varying coefficient
comparision principle
Lyapunov function
