DocumentCode
780496
Title
A continuous-time extension condition
Author
Dullerud, Geir ; Smith, Roy
Author_Institution
Dept. of Appl. Math., Waterloo Univ., Ont., Canada
Volume
41
Issue
5
fYear
1996
fDate
5/1/1996 12:00:00 AM
Firstpage
738
Lastpage
742
Abstract
This paper presents a continuous-time extension condition which has applications in the areas of identification and model validation of continuous-time systems. Consider two signals, specified on a finite interval. The result gives a necessary and sufficient condition for the existence of a contractive, causal, linear, time-invariant operator, mapping one signal to the other. This result is a continuous time analog of the classical Caratheodory extension theorem
Keywords
Hilbert spaces; continuous time systems; identification; modelling; classical Caratheodory extension theorem; continuous-time extension condition; contractive causal linear time-invariant operator; identification; model validation; necessary and sufficient condition; Context modeling; Gold; Hilbert space; Mathematics; Signal mapping; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.489215
Filename
489215
Link To Document