DocumentCode :
835050
Title :
On the structure of maximal 
-Invariant subspaces: A polynomial matrix approach
-Invariant subspaces: A polynomial matrix approachAuthor :
Vardulakis, Antonis I.G.
Author_Institution :
Cambridge University, Cambridge, England
Volume :
26
Issue :
2
fYear :
1981
fDate :
4/1/1981 12:00:00 AM
Firstpage :
422
Lastpage :
428
Abstract :
Given a controllable and observable triple ( 
) describing a linear time invariant multivariable system Σ, which gives rise to a full rank transfer function matrix 
, the structure of the maximal ( 
)- invariant subspace contained in 
is investigated using a polynomial matrix approach. Thus, certain connections between the geometric and the polynomial matrix approaches to linear system theory are established.
) describing a linear time invariant multivariable system Σ, which gives rise to a full rank transfer function matrix , the structure of the maximal ( )- invariant subspace contained in is investigated using a polynomial matrix approach. Thus, certain connections between the geometric and the polynomial matrix approaches to linear system theory are established.Keywords :
Linear systems; Multivariable systems; Polynomial matrices; Controllability; Ear; Equations; Linear systems; MIMO; Milling machines; Polynomials; State-space methods; Transfer functions; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1981.1102591
Filename :
1102591
Link To Document :
