Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 790341, 9 pages
doi:10.1155/2008/790341
Research Article

Computation of Positive Realizations for Given Impulse Response Matrices of Discrete-Time Systems

Tadeusz Kaczorek

Faculty of Electrical Engineering, Białystok Technical University, Wiejska 45D, Białystok 15-351, Poland

Received 20 August 2006; Accepted 18 October 2007

Academic Editor: NasirUddin Ahmed

Copyright © 2008 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.

Abstract

A method is presented for computation of positive realizations for given impulse response matrices of discrete-time systems. Sufficient conditions for the existence of positive realizations are established and a procedure for computation of positive realizations for given impulse response matrices is proposed.