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用多元有理函数矩阵研究系统的结构性质 被引量:3

Investigation on Structural Properties of Systems in Terms of Rational Function Matrices in Multi-Parameters
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摘要 本文着重介绍了各种结构化矩阵,经比较,说明多元有理函数矩阵(RFM)能真实地描述线性物理系统.通过对多元有理函数域F(z)上的能控能观性的讨论,说明RFM是研究与系统结构相关性质的有力工具,也说明了研究P(z)上能控能观性的必要性。 This paper introduces various structured matrices in detail, indicates that rational function ma-trices (RFM) and systems (RFS) in multi-parameters can describe linear physical systems with reality, dis-cusses the controllability and observability over the field F(z) of all the rational functions in multi-parame-ters, and shows that RFM and RFS are a powerful tool to study structured properties of systems such as structural controllability and observability and it is necessary to investigate controllability and observability over F (z).
作者 鲁凯生
出处 《控制理论与应用》 EI CAS CSCD 北大核心 1997年第5期770-772,共3页 Control Theory & Applications
基金 国家和湖北省自然科学基金
关键词 有理函数矩阵 线性系统 系统结构 rational function matrix in multi-parameters structural controllability and observability controllability and observability over F (z) linear physical systems
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参考文献4

  • 1鲁凯生,SIAM J Matrix Anal Appl,1994年,15卷,1期,151页
  • 2鲁凯生,Proc IEEE 32nd CDC,1993年
  • 3鲁凯生,IEEE Proc D,1991年
  • 4Lin C T,IEEE Trans Autom Control,1974年,19卷,3期,201页

同被引文献16

  • 1余承依.基于Matlab数值计算的GUI设计[J].漳州师范学院学报(自然科学版),2004,17(4):38-40. 被引量:11
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  • 6巴拉巴尼安N,比卡特TA.电网络理论[M].上册.夏承铨,刘国柱,译.北京:高等教育出版社,1982.
  • 7Lu K S, Wei J N. Rational function matrices and structural controllability and observability. IEE Proc. -D, 1991,138(4):388-394.
  • 8Ke Zhang,Guozhang Gao,Guanmin Liu et al. A computer analysis programfor finding state equation of RLC network over the field of rational functions in muti-parameters. 2004 IEEE Region 5 Technical Conference. Oklahoma City ,OK ,USA. April 2-4,2004 : 45-48.
  • 9Lu K S. Separability and reducibility criteria of RLC networks over F(z) and their applications. International J Circuit Theory Appl, 1998,26 : 65-79.
  • 10程树良,鲁凯生.在多元有理函数域上建立 RLC 网络的状态方程的计算机分析程序[J].武汉交通科技大学学报,1998,22(4):343-347. 被引量:2

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