Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 640806, 12 pages
doi:10.1155/2010/640806
Research Article

Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays

Zhenbo Li1 and Shuqian Zhu2

1School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, China
2School of Mathematics, Shandong University, Jinan 250100, China

Received 3 August 2010; Accepted 13 October 2010

Academic Editor: Binggen Zhang

Copyright © 2010 Zhenbo Li and Shuqian Zhu. 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

The problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controller is respect to additive controller gain variation which also belongs to an interval. Necessary and sufficient/sufficient conditions are established for the existence of the dynamic output feedback controller. The desired controller gain matrices can be determined effectively via the cone complementarity linearization techniques.