关于二阶线性时变系统辅助函数的构造  

Construction of Auxiliary Functions for a Class of Second order Linear Variable-time System

作　　者：康永海[1] 李亚新[1] 毛成立[2] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]燕山大学,河北秦皇岛066004

出　　处：《吉林师范大学学报（自然科学版）》2003年第3期116-117,共2页Journal of Jilin Normal University:Natural Science Edition

摘　　要：本文应用系统的分析理论,考虑在A(t)为2×2矩阵,而其特征值一个为零,另一个为负数的情况下,根据A(t)的不同形式构选不同的l{∩yHOB函数。The system x=A(t)x is studied for the stability of the zero solution by using analysis theory of systems,where A(t) is a 2×2 matrix whose eigenvalues are zero and negative,Different liapunov functions are constructed according to different form of A(t),and sufficient conditions for the stability of the zero solution of this system are given.

关 键 词：二阶线性时变系统 辅助函数 构造方法 特征值 特征方程 HOB函数 零解稳定 

分 类 号：O175.1[理学—数学]