引用本文:杨光红，刘晓平，张嗣瀛.一类具有对称内联子系统的不确定大系统的二次稳定性[J].控制理论与应用,1996,13(1):64~69.[点击复制]
YANG Guanghong，LIU Xiaoping and ZHANG Slying.Quadratic Stability of a Class of Uncertain Large-Scale Systems with Symmetrically interconnected Subsystems[J].Control Theory and Technology,1996,13(1):64~69.[点击复制]
一类具有对称内联子系统的不确定大系统的二次稳定性
Quadratic Stability of a Class of Uncertain Large-Scale Systems with Symmetrically interconnected Subsystems
摘要点击 942  全文点击 520  投稿时间：1994-05-25  修订日期：1994-10-30
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DOI编号  
  1996,13(1):64-69
中文关键词  大系统  稳定性分析  模型不确定性
英文关键词  large-scale systems  stability analysis  model uncertainties
基金项目  
作者单位
杨光红，刘晓平，张嗣瀛 东北大学自动控制系 
中文摘要
      本文研究了一类由若干个相似子系统和一个外部系统通过对称地内联组成的不确定大系统的二次稳定性问题．用二个低阶子系统以及相应的Ｈ∞范数的术语给出了这样一个系统是二次稳定的充分条件，并且证明了这个条件对于这个系统的过界系统的二次稳定性也是必要的．
英文摘要
      This paper investigates the quadratic stability problem of a class of uncertain large-scale systems composed of several similar subsystems interconnected with an external system in asymmetrical fashion. A sufficient condition for the quadratic stability of such a system is given in terms of two modified subsystems with lower-order and corresponding H-norms，and it is shown that the condition is also necessary for the quadratic stability of the overbounding system corresponding to the system.