DocumentCode
3077013
Title
Strictly positive real transfer functions revisited
Author
Lozano-leal, Rogelio ; Joshi, Suresh M.
Author_Institution
Lab. d´´Autom. de Grenoble, ENSIEG-INPG, Saint Martin d´´Heres, France
fYear
1990
fDate
5-7 Dec 1990
Firstpage
3640
Abstract
The two most commonly used definitions of strictly positive real (SPR) transfer functions are reviewed. Contrary to what has been previously suggested, it is shown that the least restrictive (weak) definition of the two is clearly related to the Yacubovich-Kalman lemma. A relationship between time and frequency domain conditions pertaining to the weak definition of SPR systems is established. An alternative proof is given to show that a PR plant is stabilized by any (weak) SPR system connected in negative feedback
Keywords
frequency-domain analysis; linear systems; stability; time-domain analysis; transfer functions; Yacubovich-Kalman lemma; frequency domain conditions; linear systems; negative feedback; stability; strictly positive real transfer functions; time domain condition; Capacitors; Control theory; Frequency domain analysis; Impedance; Inductors; NASA; Passive networks; Postal services; Resistors; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location
Honolulu, HI
Type
conf
DOI
10.1109/CDC.1990.203511
Filename
203511
Link To Document