【摘要】 利用微分方程单位解矩阵估计的相关方法,得到了确定含有非线性电阻的动态电路唯一稳态的条件。结果表明,含有非线性电阻的动态电路的唯一稳态,可以用一个矩阵测度决定。由于目前已有的经典结果只能处理含有线性电阻的动态电路的唯一稳态,因此本文的工作大大扩展了已有的经典结果。更多还原

【Abstract】 Based on the estimation of the fundamental solutions matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure. The main results obtained in this paper show that the unique steady state of the dynamic circuits with nonlinear resistors can be determined by the matrix measure of some matrixes, which can be easily constructed. This is a great extension of the results already known, where only the dynamic circuits with linear resistors are dealt with.更多还原