DocumentCode :
812345
Title :
Cancellations in multivariable continuous-time and discrete-time feedback systems treated by greatest common divisor extraction
Author :
Desoer, Charles A. ; Schulman, J.D.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
18
Issue :
4
fYear :
1973
fDate :
8/1/1973 12:00:00 AM
Firstpage :
401
Lastpage :
402
Abstract :
This correspondence considers a multivariable system with proper rational matrix transfer functions G0 and Gf in the forward and feedback branches, respectively. It develops a strictly algebraic procedure to obtain polynomials whose zeros are the poles of the matrix transfer functions from input to output (Hy ), and from input to error (He ). G0 and Gf are given in the polynomial matrix factored form 
and 
. The role of the assumption det [ ![I + G_{f}(\\infty )G_{0}(\\infty )] \\neq 0](/images/tex/4394.gif)
and the relation between the zeros of det [ 
] and the poles of Hy and He are indicated. The implications for stability analysis of continuous-time as well as discrete-time systems are stressed.
and . The role of the assumption det [ and the relation between the zeros of det [ ] and the poles of HKeywords :
Polynomial matrices; Stability; Transfer function matrices; Circuit theory; Feedback; Helium; Linear systems; MIMO; Notice of Violation; Poles and zeros; Polynomials; Stability analysis; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1973.1100335
Filename :
1100335
Link To Document :
