引用本文:苗原,李春文,胡世文.二维齐次高阶临界系统的稳定性判别算法[J].控制理论与应用,1997,14(3):430~433.[点击复制]
MIAO Yuan， LI Chunwen and HU Shiwen.Stability Determination Algorithm for 2-Dimension High Order Singular System[J].Control Theory and Technology,1997,14(3):430~433.[点击复制]
二维齐次高阶临界系统的稳定性判别算法
Stability Determination Algorithm for 2-Dimension High Order Singular System
摘要点击 917  全文点击 362  投稿时间：1995-09-28  修订日期：1996-08-14
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DOI编号  
  1997,14(3):430-433
中文关键词  非线性系统  临界系统，稳定性  李亚普诺夫函数  Inners算法．
英文关键词  nonlinear Systems  critical systems  stabilitys  Lyapunov functions  Inners algorithm
基金项目  nonlinear Systems；critical systems；stabilitys；Lyapunov functions；Inners algorithm
作者单位
苗原,李春文,胡世文 清华大学自动化系 
中文摘要
      本文给出了一种判别二维高次齐次非线性临界系统的稳定性的算法．这一算法对中心流形是2维高次的系统通过构造李亚普诺夫函数来判稳有良好的效果．依据这种算法编制成的程序对随机产生的4O个临界非线性系统，均顺利地找到了相应的李亚普诺夫函数．
英文摘要
      This paper presents an algorithm for judging stability of 2-dimension high order critical systems. This algorithm has well practical effect. In a test, the computer program of this algorithm found out Lyapunov functions for 40 example systems which were generated in random.