含有非线性电阻的动态电路唯一稳态研究

Unique steady state of dynamic circuits with nonlinear resistors

为了扩展非线性动态电路的唯一稳态条件 ,以向量比较原理为工具 ,研究含有非线性电阻的动态电路唯一稳态问题 .结果表明 ,含有非线性电阻的动态电路的唯一稳态 ,可以用一个常数矩阵的HURWITZ条件来决定 .结论可以适用于任何高阶的系统 ,大大扩展了已有的经典结果 .

In order to further expand the conditions to guarantee the unique steady state of dynamic circuits with nonlinear resistors, the unique steady state of dynamic circuits with nonlinear resistors is studied by the vector comparison method .The main results obtained show that the unique steady state of the dynamic circuits with nonlinear resistors can be determined by the Hurwitz conditions of an easily constructed constant matrix. This conclusion is good for any high order system.