Discrete normalized coprime factorization

In this paper a reliable algorithm is developed to perform a normalized coprime factorization of proper discrete time finite dimensional linear time invariant systems. Instead of using the bilinear transform the factorization is calculated directly. The system is allowed to have a singular state-space matrix. It is shown that a modified discrete time Riccati equation plays a crucial role to obtain a state-space realization for the factorization.

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