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Browse Journals & Magazines > Automatic Control, IEEE Trans ...> Volume:38 Issue:2 Help

Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

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1 Author(s)
Guang-Ren Duan ; Dept. of Control Eng., Harbin Inst. of Technol., China

Two new simple, complete, analytical, and restriction-free solutions with complete and explicit freedom of the matrix equation AV+BW=VF are proposed. Here [AB] is known and is controllable, and F is in the Jordan form with arbitrary given eigenvalues. Based on the proposed solutions of this matrix equation, a complete parametric approach for eigenstructure assignment in linear systems via state feedback is proposed, and two new algorithms are presented. The proposed solutions of the matrix equation and the eigenstructure assignment result are generalizations of some previous results and are simpler and more effective

Published in:
Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 2 )

Date of Publication: Feb 1993

Page(s):
276 - 280
ISSN :
0018-9286
INSPEC Accession Number:
4404680
Digital Object Identifier :
10.1109/9.250470
Date of Current Version :
06 August 2002
Issue Date :
Feb 1993
Sponsored by :
IEEE Control Systems Society

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