在常数界定元件成份关系斜率条件下,含有非线性电阻的动态电路唯一稳态研究

On the Uniqueness of the Steady State of the Nonlinear Dynamic Circuits with Nonlinear Resistors

利用矩阵分解方法 ,在用常数界定元件成份关系斜率条件下 ,得到了确定具有分解形式的高维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 ,含有非线性电阻的动态电路的唯一稳态 ,可以用分解矩阵的稳定性决定。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 。

Under the conditions that the slopes of the elements'constitutive relations are expressed by constant intervals,the unique steady state of the dynamic circuits with nonlinear resistors in decomposition forms is studied by matrix measure.The main results obtained in this paper show that the unique steady state of the dynamic circuits with nonlinear resistors in decomposition from can be detemined by the stability of some decomposed matrixes,which can be easily constructed Compared with the dynamic circuits with linear resistors,this is great extenoion of the results already known. ady known,where only the dynamic circuits with linear resistors are delt wity.