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
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