DocumentCode :
800628
Title :
On the stability of a linear time-varying system
Author :
Venkatesh, Y.
Author_Institution :
Indian Institute of Science, Bangalore, India
Volume :
14
Issue :
4
fYear :
1969
fDate :
8/1/1969 12:00:00 AM
Firstpage :
426
Lastpage :
427
Abstract :
A single-loop linear system with a time-invariant stable block 
in the direct path and a time-varying gain in the feedback path is analyzed for asymptotic stability in the Popov framework by way of admitting noncausal "multipliers" in the stability criterion. It is shown that an auto-correlation bound, analogous to O\´Shea\´s cross-correlation bounds [1], results in a constraint on dk/dt more restrictive than that of Gruber and Willems [2].
in the direct path and a time-varying gain in the feedback path is analyzed for asymptotic stability in the Popov framework by way of admitting noncausal "multipliers" in the stability criterion. It is shown that an auto-correlation bound, analogous to O\´Shea\´s cross-correlation bounds [1], results in a constraint on dk/dt more restrictive than that of Gruber and Willems [2].Keywords :
Asymptotic stability; Linear systems, time-varying continuous-time; Popov stability; Asymptotic stability; Cities and towns; Control systems; Functional analysis; Integral equations; Linear systems; Optimal control; Stability analysis; Stability criteria; Time varying systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1969.1099207
Filename :
1099207
Link To Document :
