DocumentCode :
803692
Title :
On the relation between absolute stability with respect to a set of linear time-varying elements and a set of nonlinear time-varying elements
Author :
Baker, R. Jacob ; Bergen, Andreas
Author_Institution :
Washington State University, Pullman, WA, USA
Volume :
15
Issue :
4
fYear :
1970
fDate :
8/1/1970 12:00:00 AM
Firstpage :
503
Lastpage :
504
Abstract :
Consider two feedback systems with identical plants. System 
has a time-varying linear gain and system 
has a time-varying nonlinear gain; both gains satisfy the same sector condition. The absolute stability of implies that of in the case of stability in the sense of Lagrange and quasi-asymptotic stability in the large; the implication does not hold in the case of stability in the sense of Lyapunov, as is shown by an example.
has a time-varying linear gain and system has a time-varying nonlinear gain; both gains satisfy the same sector condition. The absolute stability of implies that of in the case of stability in the sense of Lagrange and quasi-asymptotic stability in the large; the implication does not hold in the case of stability in the sense of Lyapunov, as is shown by an example.Keywords :
Absolute stability; Feedback systems; Asymptotic stability; Feedback; Gain measurement; Lagrangian functions; Time varying systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1970.1099498
Filename :
1099498
Link To Document :
