引用本文:孙洪飞, 赵 军.切换对称组合系统的稳定性[J].控制理论与应用,2003,20(3):441~444.[点击复制]
SUN Hong-fei, ZHAO Jun.Stability of a class of switched symmetric composite systems[J].Control Theory and Technology,2003,20(3):441~444.[点击复制]
切换对称组合系统的稳定性
Stability of a class of switched symmetric composite systems
摘要点击 1094  全文点击 1117  投稿时间:2001-03-30  修订日期:2001-12-27
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DOI编号  
  2003,20(3):441-444
中文关键词  切换系统  对称组合系统  稳定性
英文关键词  switched systems  symmetric composite systems  stability
基金项目  国家自然科学基金(60274009); 高等学校博士学科点专项科研基金(20020145007).
作者单位E-mail
孙洪飞, 赵 军 厦门大学 自动化系, 福建 厦门 361005
东北大学 信息工程学院, 辽宁 沈阳 110006 
zequn_sun@sina.com 
中文摘要
      首次提出了切换对称组合系统的概念, 研究了此类系统在任意切换下渐近稳定的条件, 同时分别利用多李雅普诺夫函数方法和单李雅普诺夫函数方法, 给出使切换对称组合系统渐近稳定的切换律, 利用切换对称组合系统的结构特点, 使其切换律的设计条件得到简化.
英文摘要
      A new class of symmetric composite systems is proposed. These systems are composed of linear switched subsystems with similar dynamics interconnected in a symmetrical fashion. A sufficient condition of the stability of this system for arbitrary switching is obtained. Two kinds of constructive switching laws under which the switched symmetric composite systems are stable are also provided. All the conclusions are simplified by using the structural properties.