【摘要】 文[1,2]在n×n矩阵A(t)的特征值都有负实部的情况下,通过构造变系数二次型函数,对系统x=A(t)x零解稳定之判定给出了充分条件.我们在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)的不同情况,构造不同的变系数二次型函数,对所论系统零解稳定之判定给出了充分条件.更多还原

【Abstract】 When eigenvalues of n×n matrix A(t) all have negative real parts,a sufficient condition is given in paper[1,2] for judging stability of system x = A(t)x by establishing lia-punov function——quadratic form with time-dependent coefficients.On codition that A(t) is a 2×2 matrix,and one of its eigenvalues is zero,and the other is negative, according different conditions of A (t) , we establish corresponding liapunov functions-quadradic form with time-depedent coefficient, and therefore arrive at sufficient conditions for judging stability of the system disscused in this paper.更多还原