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
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;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203511
