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
Link To Document :
