Computation of the series impedance matrix

The series decomposition analysis of impedance matrix models for linear sys tems of arbitrary degree and dimension using recursive computation is consi dered. Formulation of the series-admittance description for multi-input, mu lti-output system models is discussed together with typical applications. A particularly simple, recursive, computationally effective procedure is out lined. Thereafter when, as in most engineering problems, the impedance form results in a matrix quadratic structure, further computational efficiency is possible. Finally, the controllability-observability aspects of series m odels are investigated and illustrative problems are provided for compariso n with conventional assessment procedures.