@ARTICLE{Kaczorek_T._Positive_2005, author={Kaczorek, T.}, volume={vol. 53}, number={No 3}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={293-298}, howpublished={online}, year={2005}, abstract={The positive (minimal) realization problem for a class of singular discrete-time linear single-input, single-output systems with delays in state and delays in control is addressed. Solvability conditions for the positive (minimal) realization problem are established. It is shown that there exists a positive (minimal) realization of an improper transfer function T(z) = n(z) / d(z) if the coefficients of polynomial n(z) are non-negative and of the polynomial d(z) are non-positive except the leading one, which should be positive. A procedure for computation of the positive (minimal) realization of the transfer function is proposed and illustrated by an example.}, type={Artykuły / Articles}, title={Positive minimal realizations for singular discrete-time systems with delays in state and delays in control}, URL={http://journals.pan.pl/Content/111777/PDF-MASTER/(53-3)293.pdf}, keywords={positive (minimal) realization, singular discrete-time systems, systems with delays, control}, }