具有滞环的非线性非自治电路唯一稳态研究

Research on unique steady state of nonlinear and non-autonomous circuits with hysteresis loops

采用一种新的向量比较法 ,建立了确定具有滞环的非线性非自治电路唯一稳态的条件 ,结果表明 ,具有滞环的非线性非自治电路的唯一稳态可以用一个常数矩阵的Hurwitz条件来决定 .这一结果适用于含有任意个滞环元件的非线性非自治电路 ,通过算例验证表明理论预测是正确的 。

A new method, vector comparison method, is adopted to determine the uniqueness of the steady state of the nonlinear and nonautonomous circuits with hysteresis elements. The results obtained show that the unique steady state of those kinds of nonlinear circuits can be verified by the Hurwitz conditions of some constant matrixes. And those gained results are valid for the circuits with any degrees. The results of numerical calculation given show that the theoretical conclusions are correct. The work advanced in this paper is the first in this subject.