DocumentCode
1559964
Title
Incremental positivity nonpreservation by stability multipliers
Author
Kulkarni, Vishwesh V. ; Safonov, Michael G.
Author_Institution
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume
47
Issue
1
fYear
2002
fDate
1/1/2002 12:00:00 AM
Firstpage
173
Lastpage
177
Abstract
It is proved that stability multipliers, such as Zames-Falb (1968) multipliers, Popov (1961) multipliers and RL/RC multipliers, known to preserve the positivity of monotone memoryless nonlinearities, do not, in general, preserve their incremental positivity. Our result implies that stability results based on these multipliers should be interpreted with caution, since, without incremental positivity, the continuity of the closed-loop system´s input-output relation may not be assured
Keywords
closed loop systems; control nonlinearities; input-output stability; Popov multipliers; RL/RC multipliers; Zames-Falb multipliers; closed-loop system; incremental positivity nonpreservation; input-output relation continuity; integral quadratic constraint; monotone memoryless nonlinearities; nonlinear stability; stability multipliers; Acceleration; Attenuation measurement; Navigation; Nonlinear systems; Output feedback; Performance analysis; Stability; Sufficient conditions; Time varying systems; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.981740
Filename
981740
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