DocumentCode :
809707
Title :
-stability of linear time-varying systems--Conditions involving noncausal multipliersAuthor :
Sundareshan, Malur K. ; Thathachar, M. A L
Author_Institution :
Indian Institute of Science, Bangalore, India
Volume :
17
Issue :
4
fYear :
1972
fDate :
8/1/1972 12:00:00 AM
Firstpage :
504
Lastpage :
510
Abstract :
New criteria in the multiplier form are presented for the input-output stability in the L2 -space of a linear system with a time-varying element 
in a feedback loop. These are sufficient conditions for the system stability and involve conditions on the shifted imaginary-axis behavior of the multipliers. The criteria permit the use of noncausal multipliers, and it is shown that this necessitates 
to be bounded from above as well as from below. The method of derivation draws on the theory of positivity of compositions of operators and time-varying gains, and the results are shown to be more general than the existing criteria.
in a feedback loop. These are sufficient conditions for the system stability and involve conditions on the shifted imaginary-axis behavior of the multipliers. The criteria permit the use of noncausal multipliers, and it is shown that this necessitates to be bounded from above as well as from below. The method of derivation draws on the theory of positivity of compositions of operators and time-varying gains, and the results are shown to be more general than the existing criteria.Keywords :
Input-output stability; Linear systems, time-varying continuous-time; Algebra; Automatic control; Convolution; Feedback loop; Helium; Linear systems; Poles and zeros; Stability criteria; Time varying systems; Upper bound;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100082
Filename :
1100082
Link To Document :
