摘要
利用李森林教授与本文作者提出的思想方法和变换技巧,本文讨论了非线性调节系统:dx/dt=Ax+bf(σ),σ=C^Tx零解的渐近稳定性,获得了其零解渐近稳定的充分条件。所得的结果包括并推广了已有文献中的定理,克服了以前用大系统分解理论进行研究时所得的条件中,必须判断一个矩阵特征极实部为负的困难。
In this paper, the asymptotic stability of Rome classes of nonlinearcontrol systems is studied. The linear transformation and the method used inpaper by Li Senlin and the present author are used to obtain several sufficientconditions for the asymptotic stability of the zero solution of a nonlinearcontrol system.
出处
《湖南教育学院学报》
1994年第5期122-127,共6页
Journal of Hunan Educational Institute
关键词
非线性调节系统
渐近稳定性
零解
nonlinear regulated system
asymptotic stability
transformation move
sufficient condition