非线性电路唯一稳态的冻结系数法

The Study of the Uniqueness of the Steady State of theHigh Degrees Nonlinear Circuits byFrozen Coefficient Method

以往确定非线性非自治电路唯一稳态条件 ,要求电路中元件的成分关系是严格递增的 .而大量的电路元件不能满足该条件的实际电路 ,至今尚无理想方法 .本文采用一种新型冻结系数法 ,得到了确定电路的唯一稳态新条件 ,即仅要求电路元件的成分关系斜率有限即可 .这便大大放松了目前已有的经典结果中对电路元件的限制 ,扩展了已有的成果及运用范围 .

The criterion for determining the unique steady state of the nonlinear nonautonomous circuits,which has been put forward by previously published papers,is much more strict.But many practical circuits do not meet the criterion.So there has not been any good method until now.In this paper,we use a new frozen method, by means of which,a new criterion for determining the unique steady state of the nonlinear nonautonomous circuits is obtained.The restriction to the elements of circuits is just the slope of the constitutive relation,which is much looser than the demands before.The new criterion has much wider applicable range than that of the results already known.