Premium
Extension of a driving‐point and a transfer function to a positive real two‐port matrix
Author(s) -
Martens G. O.,
Unbehauen R.
Publication year - 1992
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.4490200102
Subject(s) - function (biology) , transfer function , point (geometry) , matrix (chemical analysis) , polynomial , zero (linguistics) , extension (predicate logic) , mathematics , port (circuit theory) , mathematical analysis , computer science , control theory (sociology) , engineering , geometry , artificial intelligence , linguistics , philosophy , materials science , control (management) , evolutionary biology , electrical engineering , composite material , biology , programming language
A solution is presented to the problem, which arises in two‐port modelling, of determining a second driving‐point function from a given driving‐point function and a transfer function. the given functions must have a common denominator and satisfy the necessary positive real (PR) matrix conditions: the driving‐point function must be PR and on the imaginary axis the real part of the transfer function must be zero whenever the real part of the driving‐point function is zero. By using a partial fraction expansion and determining a required first‐order polynomial, a unique second (minimum) driving‐point function is obtained. Examples to illustrate the method are worked out.