TY - JOUR
N2 - 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.
L1 - http://journals.pan.pl/Content/111728/PDF/(54-3)347.pdf
L2 - http://journals.pan.pl/Content/111728
PY - 2006
IS - No 3
EP - 350
KW - computation
KW - cone
KW - positive realization
KW - discrete-time system
KW - procedure
A1 - Kaczorek, T.
VL - vol. 54
DA - 2006
T1 - Computation of realizations of discrete-time cone-systems
SP - 347
UR - http://journals.pan.pl/dlibra/publication/edition/111728
T2 - Bulletin of the Polish Academy of Sciences: Technical Sciences
ER -