Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Electric Machines and Control》 2001-03
Add to Favorite Get Latest Update

The sufficient and necessary conditions of commutative matrices for MIMO linear system

GUO Shu-li, DUAN Zhi-sheng, HUANG Lin (Center for Systems and Control, Department of Mechanics and Engineering Science, Beijing University, Beijing, 100871, China)  
Commutative matrices of MIMO linear system are considered. The existence of the feedback matrices of commutative state matrix set in the SISO closed-loop systems is reduced to the eigenvalue and eigenvector of matrices A and the existence of feedback matrices in the MIMO closed-loop systems is reduced to invariance subspace of matrix A, and the existence of feedback matrices in the open-loop systems is equivalent,to the existence of the solution of Lyapunov matrix equation. Kronecker product is used as the tool in dealing with commutative state matrix set. Results are demonstrated by two material examples.
【Fund】: 国家重点基础研究专项经费资助项目(G1998020302)
【CateGory Index】: TP13
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 10 Hits
1 Chang Zhenggui; Chen Xuebi (Dept.of Automation);True-Basic Realization of Unbalanced Compensating Matrices Fitting[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1996-03
2 Wang Chenjiu ;Chen Xuebo; Chang Zhenggui(President Office) (Dept.of Electronic Engineering);Contraction-Mapping and Singularvalue Analysis of Multivariable Systems[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1996-06
3 SI Cai-ying (Zhejiang Vocational and Technical Institute of Transportation, Hangzhou 311112, China);A Recurrence Method of Grades for Left Pseudo Inverse and Right Pseudo Inverse[J];Journal of Baoding University;2008-02
4 Yang Zhongpeng(Department of Mathematics);Solutions of Consistent Right Linear Equations over the Quaternion Field[J];;1996-02
5 Yu Niancai, Chen Decheng, Zheng Wangeri Department of Mechanics, Peking University. Nanjing Turbine and Motor Factory, Nanjing.;On the Sufficient and Necessary Conditions for the Discoupling of the Pencil of Complex Mode Matrices in a Complex Space[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1987-03
6 Zhao Yongdong Huang Lin (Mechanics Department);The Singular-Value Decomposition of Linear Bounded Compact Operator on l~2 and Its Application[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1988-01
7 WU Jike ZHOU Kun (Department of Mechanics, Peking University);Numerical Computation for High Dimension Hopf Bifurcation[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1993-05
8 YU Xuegang\ HUANG Lin (Dept.of Mechanics & Engineering Science,Peking Uni versity,Beijing\ 100871);Some Geometrical Properties of Stable Matrix Families[J];ACTA SCICENTIARUM NATURALUM UNIVERSITIS PEKINESIS;1999-05
9 Cheng Peng;THE CANONICAL FORM OF LINEAR CHARACTERISTIC SYSTEMS[J];Journal of Beijing University of Aeronautics and Astronautics;1989-01
10 Yue Guojin Yan Litang;THE PROPERTIES AND APPLICATIONS OF MODAL THEORY IN ROTOR DYNAMICS[J];Journal of Beijing University of Aeronautics and Astronautics;1989-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved