DocumentCode :
1173837
Title :
Necessary and sufficient conditions for the realizability of biquadratic functions
Author :
Chan, S.G. ; Phung, L.
Volume :
21
Issue :
2
fYear :
1974
fDate :
3/1/1974 12:00:00 AM
Firstpage :
197
Lastpage :
198
Abstract :
The necessary and sufficient condition for the positiverealness of a general biquadratic function 
is presented. It is shown that for each given pair of conjugate-complex poles of with negative-real parts, the zeros of are graphically restricted in a realizability region, which is an open region bounded by two curves. One of these curves is the locus of the zeros for which is a minimum positive-real function. A theorem is given stating the realizability conditions for as a driving-point immittance with passive elements.
is presented. It is shown that for each given pair of conjugate-complex poles of with negative-real parts, the zeros of are graphically restricted in a realizability region, which is an open region bounded by two curves. One of these curves is the locus of the zeros for which is a minimum positive-real function. A theorem is given stating the realizability conditions for as a driving-point immittance with passive elements.Keywords :
Biquadratic driving-point functions; Biquadratic transfer functions; General analysis and synthesis methods; Positive real functions; Helium; Poles and zeros; RLC circuits; Senior members; Sufficient conditions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1974.1083838
Filename :
1083838
Link To Document :
