摘要
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．这种方法以矩阵测度为工具，结合平衡点的渐进稳定判据，用一个矩阵的ＨＵＲＷＩＴＺ条件和矩阵的测度决定平衡点的全局对近稳定性．与目前该问题所来用的 ＬＩＹＡＰＵＮＯＶ直接法相比，该方法具有无须判断平衡点的唯一性，无需构造ＬＩＹＡＰＵＮＯＶ 函数，直接明了判别方程．
A new nethod to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is introduced. The conditions for the global asymptotic stability of the equilibrium point are expressed as the Hurwitz conditions of a Jacobi matrix and the measures of some matrixes. 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 their slopes be bounded, which are much loose than those in previously published papers.
