一类非线性常微分方程组的零解稳定性的判别准则

On the Stability of the Zero Solution for a Nonlinear System of Ordinary Differential Equations

讨论了一类非线性常微分方程组零解的稳定性，获得了其零解渐近稳定的充分条件，克服了以前用大系统分解理论进行研究时所得条件中必须判断一个新矩阵特征根实部为负的困难，所得条件简单，便于应用．

The stability of the zero solution for a nonlinear system of ordinary differential equations is studied.A sufficient condition is acquired that the zero solution is asymptotically stable, and the dificulty is surmounted that it is required to determine the real part of the characteristic roots of a new matrix are nagetive before studying a large scale system. This sufficent condition is simple and convenient to apply.