Premium
On rlc network matrices
Author(s) -
Fialkow Aaron D.
Publication year - 1973
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.4490010213
Subject(s) - rlc circuit , mathematics , generalization , minor (academic) , property (philosophy) , matrix (chemical analysis) , network analysis , variable (mathematics) , electrical impedance , impedance parameters , mathematical analysis , topology (electrical circuits) , control theory (sociology) , combinatorics , computer science , engineering , voltage , materials science , law , electrical engineering , philosophy , control (management) , epistemology , artificial intelligence , political science , composite material , capacitor
A generalization of the coefficient conditions which hold for an RLC network as well as of the paramount property obeyed by the matrix of a resistance network is derived. This result is a property of either the nodal or mesh matrices for either the admittances or impedances of a general RLC network. It states that if P is any principal minor or such a matrix and Q any other minor constructed from the same rows (columns) as P then P, P + Q, P–Q are rational functions of the complex frequency variable which, before cancellation of common factors, have only non‐negative coefficients.