DocumentCode
981725
Title
On the generic dimension of controllable subspaces
Author
Poljak, Svatopluk
Author_Institution
Dept. of Appl. Math., Charles Univ., Praha, Czechoslovakia
Volume
35
Issue
3
fYear
1990
fDate
3/1/1990 12:00:00 AM
Firstpage
367
Lastpage
369
Abstract
It is proved that the generic dimension of the controllable subspace remains unchanged even if the free parameters in a linear system are allowed to vary with time. More precisely, it is proved that the generic rank of the controllability matrix equals the generic rank of a controllability matrix for a discrete, time-varying system. As a by-product, a new proof of S. Hosoe´s (1980) characterization of the generic dimension of the controllable subspace is obtained
Keywords
controllability; discrete systems; linear systems; matrix algebra; time-varying systems; controllability matrix; controllable subspaces; discrete systems; generic dimension; generic rank; linear system; time varying systems; Algorithm design and analysis; Jacobian matrices; Linear systems; Output feedback; Polynomials; State feedback;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.50361
Filename
50361
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