@ARTICLE{Kaczorek_T._Computation_2006,
author={Kaczorek, T.},
volume={vol. 54},
number={No 3},
pages={347-350},
journal={Bulletin of the Polish Academy of Sciences: Technical Sciences},
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.},
title={Computation of realizations of discrete-time cone-systems},
type={ArtykuĹ‚y / Articles},
URL={http://journals.pan.pl/Content/111728/PDF-MASTER/%2854-3%29347.pdf},
keywords={computation, cone, positive realization, discrete-time system, procedure},
}