利用单位解矩阵估计判定动态电路的唯一稳态

Determination of Unique Steady State of Nonlinear Circuits by Estimation of Unit Solution Matrixes

本文利用微分方程单位解矩阵估计的相关方法 ,得到了确定含有非线性电阻的动态电路唯一稳态的条件。本文的结果表明 ,含有非线性电阻的圣马力诺态电路的唯一稳态 ,可以用一个矩阵测度决定。由于目前已有的经典结果只能处理含有线性电阻的动态电路的唯一稳态 。

Based on the estimation of the unit solution matrixes of differential equations ,the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure. The main results obtained show that the unique steady state of the dynamic circuits with nonlinear resistors can be detetmined by one matrix measure, which can be easily constructed . This is a great extension of the classical results already known ,where only the dynamic circuits with linear resistors are dealt with.