非线性电路平衡点全局渐近稳定的新分析法

提出了一种新的分析非线性电路平衡点全局渐近稳定的方法．这种方法以向量比较原理为工具，结合平衡点的渐进稳定判据，用一个常数矩阵的Hurwitz条件决定平衡点的全局渐近稳定性．与目前该问题所采用的Liyapunov直接法相比，该方法具有无须判断平衡点的惟一性，差别方程直接明了等优点．同时，该方法对于其他形式的非线性系统的分析，也有重要的启发性及应用价值．

New Method Analyzing Global Aymptotic Stability of Equilibrium Point in Nonlinear Circuit

A new method is introduced to analyze the global asymptotic stability of the equilibriumpoint of nonlinear circuit. The conditions for the global asymptotic stability of the equilibrium point are expressed as the Hurwitz conditions of a Jacobi matrix and the measure of a matrix. By the method, to decide the global asymptotic stability of the equilibrium point, it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions. And the requirements in the conditions for the circuit elements are only bounded slopes. They are much loose than those in previously published papers. The work is a breakthrough in the subject.