抄録
On the irreducible Jordan form realization of a rational transfer function matrix, Gilbert established an elegant method which is applicable to a rational matrix having simple poles. Kalman used the Smith-McMillan form to give a generalization of Gilbert's technique. For a rational matrix in which every denominator is given in the factored form, Gueguen, Toumire, Panda and Chen developed a two-step method which is more effective than Kalman's general method.
This paper presents a new method for realizing a rational transfer function matrix into an irreducible Jordan canonical form state eqution. This method consists of a single step to form a controllable and observable state equation, and is simpler and more beautiful than the two-step method. This technique is a direct generalization of Gilbert's technique.
