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
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