The structural conditions of controllability for RLCM networks over F(z)

RLCM networks are a class of important linear systems. If the values of resistors, capacitors, self and mutual inductors in RLCM networks are regarded as independently variable parameters, the networks are defined over the field F(z) of rational functions in independently variable parameters. This paper discusses the problem of controllability of RLCM networks over F(z). In order to do this, some separability and reducibility criteria are presented.