非线性非自治电路唯一稳态的新判据

A New Criterion for the Unique Steady State of the Nonlinear Nonautonomous Circuits

以向量比较原理为工具 ,得到了确定非线性非自治电路唯一稳态的新条件 .结果表明 ,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 .结果对电路元件的约束 ,仅要求其斜率有界即可 .这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制 ,扩展了已有的结果 .

A new criterion to the unique steady state of the nonlinear nonautonomous circuits is obtained by vector comparisom method.The main results obtained in thia paper show that the unique steady state of the nonlinear nonautonomous circuits can be determined by the Hurwitz conditions of a constant matrix.The restriction to the elements of the matrix is just the slope of the constitutive relation is bounded,which is much looser than the demands put forward by previously published papers.The new criterions in this paper have much wider applicable range than the results already known.