DocumentCode
760371
Title
Intrinsic difficulties in using the doubly-infinite time axis for input-output control theory
Author
Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Volume
40
Issue
3
fYear
1995
fDate
3/1/1995 12:00:00 AM
Firstpage
516
Lastpage
518
Abstract
Points out that the natural definitions of stability and causality in input-output control theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In particular, linear time-invariant systems with right-half plane poles cannot be considered to be both causal and stabilizable. In contrast, there is no such conflict when the semi-infinite time axis is used
Keywords
graph theory; input-output stability; stability; transfer functions; causality; doubly-infinite time axis; input-output control theory; linear time-invariant systems; right-half plane poles; semi-infinite time axis; stability; Attenuation; Automatic control; Control theory; Convolution; Design optimization; Hydrogen; Iterative algorithms; Riccati equations; Stability; State feedback;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.376072
Filename
376072
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