Mathematical Problems in Engineering 
Volume 2005 (2005), Issue 4, Pages 455-463
doi:10.1155/MPE.2005.455

Realization problem for positive linear systems with time delay

Tadeusz Kaczorek

 Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, 75 Koszykowa Street, Warsaw 00-662, Poland
Received 9 February 2004

Abstract

The realization problem for positive single-input single-output discrete-time systems with one time delay is formulated and solved. Necessary and sufficient conditions for the solvability of the realization problem are established. A procedure for computation of a minimal positive realization of a proper rational function is presented and illustrated by an example.