三阶变系数线性微分系统的二维向量Liapunov函数

Two-Dimensional Vector Liapunov Function of Linear Tinear-Dependent System of 3 First-Order Differential Eguations

在Ａ（ｔ）为三阶可微函数矩阵时，通过构造二维Ｌｉａｐｕｎｏｖ函数，给出了保证交系数线性系统ｘ＝Ａ（ｔ）ｘ平凡解渐近稳定的判定准则。本文放弃了Ａ（ｔ）的特征值均有负实部的要求。

in this paper by constructing 2-dimensional Vector Liapunov function. We establish a criterion that can guarantee the stability of system xI =A(t)x, where A (t) is a 3x3 differential matrix.It is not indispensable in the paper that all eigenvalue of matrix A (t)have negative real parts.