Computation of realizations of discrete-time cone-systems
Tadeusz Kaczorek · Bulletin of the Polish Academy of Sciences Technical Sciences · 2006
A new notion of a realization of transfer matrix of (P,Q,V)-cone-system for discrete-time linear systems is proposed. Necessary and sufficient conditions for the existence of the realizations are established. A procedure is proposed for computation of a realization of a given proper transfer matrix T (z) of (P,Q,V)-cone-system. It is shown that there exists a realization of T (z) of (P,Q,V)-cone-system if and only if there exists a positive realization of T (z) = V T (z)Q−1, where V, Q and P are non-singular matrices generating the cones V,Q and P respectively.