DocumentCode :
856822
Title :
Transfer function matrix of singular systems
Author :
Mertzios, B.G. ; Syrmos, B.L.
Author_Institution :
Democritus University of Thrace, Xanthi, Greece
Volume :
32
Issue :
9
fYear :
1987
fDate :
9/1/1987 12:00:00 AM
Firstpage :
829
Lastpage :
831
Abstract :
A formula is given, which allows the determination of the transfer function matrix of linear multivariable singular systems (i.e., systems of the form 
, with 
singular) directly in terms of the matrices of the state-space description and the characteristic polynomial without inverting a polynomial matrix. An alternative closed-form expression for the transfer function matrix in terms of the pencil 
is also given.
, with singular) directly in terms of the matrices of the state-space description and the characteristic polynomial without inverting a polynomial matrix. An alternative closed-form expression for the transfer function matrix in terms of the pencil is also given.Keywords :
Singularly perturbed systems, linear; Transfer function matrices; Closed-form solution; Control systems; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrices; Null space; Polynomials; Riccati equations; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1987.1104725
Filename :
1104725
Link To Document :
