Hessenberg-Triangular Reduction and Transfer Function Matrices of Singular Systems

The author is concerned with the computation of transfer function matrices of linear multivariable systems described by their generalized state-space equations. An algorithm is outlined that may be considered a generalization of an existing technique for computation of transfer matrices of systems described by standard state-space equations. The proposed algorithm can be used for evaluating transfer function matrices of nonsingular as well as singular generalized systems, and performs satisfactorily when implemented with finite-precision arithmetic. Several examples are included to demonstrate the performance of the proposed algorithm.