DocumentCode :
856557
Title :
A complete analytical solution to the equation 
and its applications
and its applicationsAuthor :
Tsui, Chia-Chi
Author_Institution :
Northeastern University, Boston, MA
Volume :
32
Issue :
8
fYear :
1987
fDate :
8/1/1987 12:00:00 AM
Firstpage :
742
Lastpage :
744
Abstract :
In this note, a complete, analytical, and restriction-free solution with complete and explicit freedom of the matrix equation is proposed. Here 
is given and is observable, and 
is in the Jordan form with arbitrary given eigenvalues. This solution appears to be new because it can be applied directly to obtain significantly better solutions to the following three basic design problems: 1) 2-D system eigenvalue assignment; 2) function observer design; and 3) state feedback eigenstructure design, as shown in this note.
is proposed. Here is given and is observable, and is in the Jordan form with arbitrary given eigenvalues. This solution appears to be new because it can be applied directly to obtain significantly better solutions to the following three basic design problems: 1) 2-D system eigenvalue assignment; 2) function observer design; and 3) state feedback eigenstructure design, as shown in this note.Keywords :
Eigenstructure assignment, linear systems; Matrices; Multidimensional (n-D) system; Observers, linear systems; State-feedback, linear systems; Algorithm design and analysis; Control systems; Differential algebraic equations; Eigenvalues and eigenfunctions; Image analysis; Information analysis; Observers; Polynomials; State estimation; State feedback;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1987.1104702
Filename :
1104702
Link To Document :
