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