基于矩阵测度的非线性非自治电路惟一稳态研究  

Matrix and its application to determine the unique steady state of the nonlinear nonautonomous circuits

作　　者：冯平[1] 刘元涛[2] 

机构地区：[1]解放军后勤工程学院电工教研室,重庆400016 [2]解放军后勤工程学院教保处,重庆400016

出　　处：《西安电子科技大学学报》2001年第5期655-658,共4页Journal of Xidian University

基　　金：军队科研基金(营 16 0号 )

摘　　要：以矩阵测度为工具 ,得到了确定非线性非自治电路惟一稳态的新条件 ,即可以用一个矩阵的测度来决定 .文中结果对电路元件的约束 ,仅要求其斜率有界即可 .这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制 。A new criterion for the unique steady state of the nonlinear nonautonomous circuits is obtained by the matrix measure method. The main results obtained in this paper show that the unique steady state of the nonlinear nonautonomous circuits can be determined by the measure of a matrix. The restriction to the elements of circuits is just the slope of the constitutive relation bounded, which is much looser than the demands put forward by the papers available. The new criterions in this paper have much wider applicable range than the results already known.

关 键 词：非线性电路 惟一稳态 矩阵测度 

分 类 号：TM13[电气工程—电工理论与新技术]