Title :
Transfer function matrix
Author_Institution :
California Institute of Technology, Jet Propulsion Laboratory, Pasadena, USA
Abstract :
Given a multivariable system, it is proved that the numerator matrix N(s) of the transfer function evaluated at any system pole either has unity rank or is a null matrix. It is also shown that N(s) evaluated at any transmission zero of the system has rank deficiency. Examples are given for illustration.
Keywords :
linear systems; matrix algebra; multivariable control systems; poles and zeros; transfer functions; control theory; linear system; multivariable system; numerator matrix; system pole; transfer function; transmission zero;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19870187
