引用本文:张继业,舒仲周.大系统渐近稳定的向量V函数法[J].控制理论与应用,1996,13(3):386~390.[点击复制]
ZHANG Jiye and SHU Zhongzhou.The Vector V-Functions Method of the Asymptotic Stability for the Large-Scale Systems[J].Control Theory and Technology,1996,13(3):386~390.[点击复制]
大系统渐近稳定的向量V函数法
The Vector V-Functions Method of the Asymptotic Stability for the Large-Scale Systems
摘要点击 842  全文点击 400  投稿时间:1995-03-08  修订日期:1995-11-06
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  
  1996,13(3):386-390
中文关键词  稳定性  大系统  比较方程
英文关键词  stability  large-scale system  comparison equation
基金项目  
作者单位
张继业,舒仲周 西南交通大学应用力学研究所 
中文摘要
      利用分解集结和向量V函数法解大系统的渐近稳定性问题是一种十分有效的方法,但过去一般限于集结成常系数线性比较方程,得到的只是指数稳定.本文研究了非线性比较方程的构造方法,给出了比较方程稳定性的判定定理,并举例说明其用处.
英文摘要
      Using decomposition-aggregation and vector V-functions to solve stability problem of large-scale systems is an important and effective method. But in the past,it was always limited to aggregate the linear comparison equation with constant coeffecients and only the exponential stability might be deter-minted. In this paper,the methods to construct nonlinear comparison equations in more general form are studied, criteria of the stability for nonlinear comparison equations are obtained and usage of the Vector V-functions method is illustrated by some examples.