DocumentCode
1195948
Title
New results on stable multidimensional polynomials-Part I: Continuous case
Author
Fettweis, Alfred ; Basu, Sankar
Volume
34
Issue
10
fYear
1987
fDate
10/1/1987 12:00:00 AM
Firstpage
1221
Lastpage
1232
Abstract
New classes of multivariable polynomials arising in studies of passive multidimensional systems have been identified and their properties have been studied. In particular, polynomials occurring as the numerators and denominators of multivariable reactance functions and positive functions are characterized. Related properties of these and other classes of multivariable Hurwitz polynomials are also studied. Finally, a nontrivial test for the property of positivity of rational functions, holomorphic in a domain, in terms of their behavior on the distinguished boundary is formulated.
Keywords
General circuits and systems theory; Multivariable functions; Polynomials; Routh stability, linear systems; Circuit testing; Circuits and systems; Multidimensional systems; Polynomials; Scattering parameters; Terminology; Time domain analysis; Transfer functions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1987.1086057
Filename
1086057
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