引用本文:王 静, 张庆灵, 刘万泉.广义对称组合系统的结构分析[J].控制理论与应用,2005,22(1):118~122.[点击复制]
WANG Jing, ZHANG Qing-ling, LIU Wan-quan.Structure analysis of singular symmetric composite systems[J].Control Theory and Technology,2005,22(1):118~122.[点击复制]
广义对称组合系统的结构分析
Structure analysis of singular symmetric composite systems
摘要点击 1642  全文点击 1369  投稿时间:2003-06-11  修订日期:2003-12-17
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DOI编号  
  2005,22(1):118-122
中文关键词  广义对称组合系统  固定模  分散正常化  能控性  能观性
英文关键词  singular symmetric composite systems  fixed modes  decentralized normalization  controllability  observability
基金项目  辽宁省普通高校学科带头人基金资助项目(124210); 辽宁省科技基金资助项目(2001401041).
作者单位
王 静, 张庆灵, 刘万泉 东北大学 理学院,辽宁 沈阳 110004
科廷理工大学 计算机学院,澳大利亚 
中文摘要
      研究了由若干个相同的广义线性子系统以对称的内联方式构成的广义对称组合大系统的性质.首先,通过系统变换,将原广义对称组合大系统转换为两个低阶的修正子系统,然后通过分析得到广义对称组合大系统的稳定性、能控性、能观性、固定模的存在性、分散正常化、Lyapunov方程和Riccati方程的解等性质,均可由这两个低阶的修正子系统的相应性质来描述.
英文摘要
      A class of singular systems with symmetric interconnected and identical structure was investigated.First,the original singular symmetric composite systems were transformed to two lower-order modified subsystems via system transformation;Then it was found that the characteristics (such as stability,controllability,observability,the existence of fixed modes,decentralized normalization,the solution to the Lyapunov equation and Riccati equation) of this kind of large-scale systems can be determined by the corresponding properties of the two lower-order modified subsystems.