DocumentCode
1192383
Title
On causality and linear maps
Author
Sandberg, Irwin W.
Volume
32
Issue
4
fYear
1985
fDate
4/1/1985 12:00:00 AM
Firstpage
392
Lastpage
393
Abstract
Linear operators 
that take some space of signals 
into itself, and the standard concepts of time invariance, invertibility, and causality, play a basic role in the study of systems. In this note is taken to be a certain very general linear space of 
-vector-valued functions defined on 
. We prove and discuss a theorem which shows, in particular, that in a setting very often of interest, the inverse 
of a linear invertible time-invariant causal is in fact causal.
that take some space of signals into itself, and the standard concepts of time invariance, invertibility, and causality, play a basic role in the study of systems. In this note is taken to be a certain very general linear space of -vector-valued functions defined on . We prove and discuss a theorem which shows, in particular, that in a setting very often of interest, the inverse of a linear invertible time-invariant causal is in fact causal.Keywords
Causality; Operator theory; Circuits and systems; Linearity;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1985.1085703
Filename
1085703
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