确定高维滞环多值电路惟一稳态的λ参数法

The study of the uniqueness of the steady state of the high degrees nonlinear nonautonomous circuits with hysteresis loop elements by λ-coefficient method

以元件成份关系斜率变化区间对应的常数矩阵为基础 ,通过引入一个参变量λ构造出多个新的矩阵。通过对这些包含参变量λ的矩阵的分析 ,从而确定电路的惟一稳态。本文的结果中 ,电路元件可以是多值的 ,这大大放松了目前已有的经典结果中要求电路元件为单值的限制 。

Based on the constant matrixes composed of the constant intervals of the slopes of the elements′ constitutive relations,a coefficient λ is introduced to construct several new matrixes relative to this coefficient.And new criterion to the unique steady state of the nonlinear nonautonomous circuits with hysteresis elements is obtained by the analysis of those matrixes.The restriction to the elements of circuits is much looser than the demands put forward by previously published papers.The new criterions have much wider applicable range than the results already known.