DocumentCode
836699
Title
The state representation of polynomic maps
Author
Porter, W.A.
Author_Institution
Louisiana State University, Baton Rouge, LA, USA
Volume
26
Issue
4
fYear
1981
fDate
8/1/1981 12:00:00 AM
Firstpage
953
Lastpage
956
Abstract
Let
be an arbitrary strictly causal polynomic map between Hilbert resolution spaces. Then
has the form
where τ is a predetermined causal map and
is linear and strictly causal. The maps
and
have state representations. The present paper develops the interrelationship between these.
be an arbitrary strictly causal polynomic map between Hilbert resolution spaces. Then
has the form
where τ is a predetermined causal map and
is linear and strictly causal. The maps
and
have state representations. The present paper develops the interrelationship between these.Keywords
Nonlinear systems; Controllability; Filtering; Functional analysis; Hilbert space; Modems; Observability; Optimal control; Tensile stress;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1981.1102752
Filename
1102752
Link To Document