Mathematical Problems in Engineering
Volume 2005 (2005), Issue 4, Pages 455-463
Realization problem for positive linear systems with time delay
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
Copyright © 2005 Tadeusz Kaczorek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.