Improved Wolovich algorithm for determining state-space representations of linear multivariable polynomial systems

An improved procedure is presented for determining a state-space representation of a given time-invariant system whose dynamic behaviour is expressed in a differential operator form. The algorithm is essentially that developed by Wolovich (1973) with the addition of those details and methods necessary to program the procedure, which were not included in his paper. The main modifications are a new method for transforming a polynomial matrix to an equivalent row-reduced matrix and a new technique for reducing the system so that the state equations are strictly proper.