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Necessary and sufficient conditions for absolute stability of linear n-ports

✍ Scribed by Ezra Zeheb; Eugene Walach

Publisher: John Wiley and Sons
Year: 1981
Tongue: English
Weight: 835 KB
Volume: 9
Category: Article
ISSN: 0098-9886
DOI: 10.1002/cta.4490090306

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✦ Synopsis

Abstract

A set of necessary and sufficient conditions is stated and proved for the absolute stability (under any passive terminations), in the ‘bibo’ sense, of a linear n‐port characterized by its open‐circuit impedance matrix. A more explicit set of such conditions is derived for the special case n = 3. In the process of deriving this set of conditions, some results and theorems concerning finding the zero sets of two and three parameter functions, are stated and proved. Also derived is a set of necessary and sufficient conditions for the absolute stability of two‐ports characterized by the scattering parameters. Such sets have already been derived previously, but the present set is considerably simpler.

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