TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/111777/PDF-MASTER/(53-3)293.pdf L2 - http://www.czasopisma.pan.pl/Content/111777 PY - 2005 IS - No 3 EP - 298 KW - positive (minimal) realization KW - singular discrete-time systems KW - systems with delays KW - control A1 - Kaczorek, T. VL - vol. 53 DA - 2005 T1 - Positive minimal realizations for singular discrete-time systems with delays in state and delays in control SP - 293 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/111777 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -