利用单位解矩阵估计判定非线性非自治电路唯一稳态

利用微分方程单位解矩阵估计的相关方法 ,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 ,可以用矩阵的测度来决定 .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 .

The Determination of the Unique Steady State of the Nonlinear Nonautonomous Circuits by the Estimation of the Fundamental Solutions Matrixes

Based on the estimation of the fundamental solutions matrixes of defferential equations, a new criterion is obtained to unique steady state of the nonlinear nonautonomous curcuits. The main steady state of the nonlinear nonautonomous circuits can be determined by the measures of some matrixes. The restriction to the elements of circuits is just the slope of the constitutive relation, 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 in existence.