Zl. Lin et al., INNER-OUTER FACTORIZATION OF DISCRETE-TIME TRANSFER-FUNCTION MATRICES, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 43(11), 1996, pp. 941-945
The inner-outer factorization of the transfer function matrix of a lin
ear time-invariant system has been an important algebraic problem in a
variety of areas in electrical engineering, including systems and con
trol analysis and design. This paper gives an explicit state space-bas
ed algorithm for the inner-outer factorization of the transfer functio
n matrix of a general discrete-time linear system. More specifically,
the algorithm applies to any discrete-time linear system whose transfe
r function is proper and stable.