利用比较原理判定一类大系统稳定的充分必要条件

SUFFICIENT AND NECESSARY CONDITIONS OF DECIDING STABALITY OF A CLASS OF LARGE SCALE SYSTEMS BY COMPARISON THEORY

本文给出了通过比较系统方程Ｖ＝ＡＶ确定原大系统稳定的一个充分必要条件，即比较系统方程在第一象限内存在Ｌｉａｐｕｎｏｖ函数时矩阵Ａ应满足的条件．

This PaPer gives a sufficient and necessary condition of deciding stability of large scale system by comparison system y=Ay,this is the condition which matrix a shouldsatisfy when there exist a Liapunov function in the first quadrant for the comparisonsystem.