@ARTICLE{Kaczorek_T._Computation_2006, author={Kaczorek, T.}, volume={vol. 54}, number={No 3}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={347-350}, howpublished={online}, year={2006}, abstract={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.}, type={Artykuły / Articles}, title={Computation of realizations of discrete-time cone-systems}, URL={http://www.czasopisma.pan.pl/Content/111728/PDF-MASTER/(54-3)347.pdf}, keywords={computation, cone, positive realization, discrete-time system, procedure}, }