DocumentCode
2176954
Title
Incremental positivity non-preservation by stability multipliers
Author
Kulkarni, V.V. ; Safonov, Michael G.
Author_Institution
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume
1
fYear
2001
fDate
2001
Firstpage
33
Abstract
It is proved that stability multipliers such as Zames-Falb multipliers, Popov multipliers and RL/RC multipliers, known to preserve 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, continuity of the closed-loop system´s input-output relation may not be assured
Keywords
Fourier transforms; feedback; stability; Popov multipliers; RL/RC multipliers; Zames-Falb multipliers; closed-loop system; continuity; incremental positivity nonpreservation; input-output relation; integral quadratic constraint; nonlinear stability; stability analysis; stability multipliers; Convolution; Feedback; Fourier transforms; Signal mapping; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-7061-9
Type
conf
DOI
10.1109/.2001.980064
Filename
980064
Link To Document