| 引用本文: | 王迎军 潘德惠.矩阵变换法求解广义系统与广义系统的分层特征[J].控制理论与应用,1995,12(4):445~452.[点击复制] |
| WANG Yingjun and PAN Dehui.Matrix Transform Method for Solving Singular Systems and Its Layer-Built Character[J].Control Theory and Technology,1995,12(4):445~452.[点击复制] |
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| 矩阵变换法求解广义系统与广义系统的分层特征 |
| Matrix Transform Method for Solving Singular Systems and Its Layer-Built Character |
| 摘要点击 1178 全文点击 456 投稿时间：1993-11-15 修订日期：1994-12-15 |
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| DOI编号 |
| 1995,12(4):445-452 |
| 中文关键词 广义系统 初等变换 分层特征 |
| 英文关键词 singular systems primary transform solution layer-built character |
| 基金项目 |
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| 中文摘要 |
| 本文利用矩阵的初等变换技巧，对广义系统EX=AX+Bu的解给出了一种新的计算方法。本方法只需对E,A进行初等行变换与列变换，即可求出原系统的解。同时指出该方法优于矩阵束方法和Drazin逆方法，并给出求解实例。在此基础上透视了广义系统的“树型”分层特征，这是广义系统的快子系统所具有的特点。这一特点恰恰反映了管理特征。 |
| 英文摘要 |
| By using primary transform of matrices we have proposed a new method for solving the singular systems EX=AX+Bu. We use only primary row and column transform to calculate the solution. And we point out that “matrix transform method” is prior to the traditional one which uses pencils of matrices or Drazin inverse. An example is given in the next part. Based on the above discussions, it’s clear that singular systems have a layer-built character of “tree systems”. This is the property of fast sub-systems which characterise management systems. |