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

作　　者：王永茂[1] 

机构地区：[1]燕山大学数理系,秦皇岛066004

出　　处：《燕山大学学报》1999年第4期320-323,共4页Journal of Yanshan University

摘　　要：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.

关 键 词：变系数线性系统 向量Liapunov函数 稳定 

分 类 号：O175.21[理学—数学]