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Existence of hybrid matrices for active n ‐ports encountered in the analysis of transistor networks
Author(s) -
Nielsen Richard O.,
Willson Alan N.
Publication year - 1979
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490070108
Subject(s) - uniqueness , resistor , transistor , active networking , computation , nonlinear system , topology (electrical circuits) , mathematics , set (abstract data type) , computer science , control theory (sociology) , mathematical analysis , engineering , physics , algorithm , electrical engineering , combinatorics , telecommunications , voltage , control (management) , quantum mechanics , artificial intelligence , programming language
Abstract It is shown that hybrid matrices exist for certain types of active n ‐ports constructed using resistors and controlled sources. Furthermore, it is shown that the existence of these hybrid matrices implies that a certain well‐known set of necessary and sufficient conditions, which guarantees the uniqueness of solutions to the nonlinear DC equations of transistor networks, can be simplified. Additional results are presented which show how the amount of computation required to verify these conditions can be reduced.