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coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model
A new form of the coprime polynomial fraction $C(s)\,F(s)^{-1}$ of a transfer function matrix $G(s)$ is presented where the polynomial matrices $C(s)$ and $F(s)$ have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices $HB$, $HAB$, ...
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