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.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://www.czasopisma.pan.pl/Content/111728/PDF/%2854-3%29347.pdf L2 - http://www.czasopisma.pan.pl/Content/111728 IS - No 3 EP - 350 KW - computation KW - cone KW - positive realization KW - discrete-time system KW - procedure ER - A1 - Kaczorek, T. VL - vol. 54 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 347 T1 - Computation of realizations of discrete-time cone-systems UR - http://www.czasopisma.pan.pl/dlibra/docmetadata?id=111728