On a generalized algorithm for the transformation of the input-output model into the state-space model

A generalised algorithm for transformation from an input-output model into a state-space model, which is also suitable for systems with a nondynamic part, is presented. The algorithm is based on a recently developed fast and accurate method which uses a recursive formula. The derivation of the algorithm is presented and a numerical example is also given. A discrete time invariant linear multivariable and completely observable system given in the canonical state-space form with a nondynamic part are considered