Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays. (18th October 2010)

• Record Type: Journal Article
• Authors: Li, Zhenbo; Zhu, Shuqian
• Other Names: Zhang Binggen Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2010(2010)
• Publication Date: 2010-10-18
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2010/640806
• Languages: English
• ISSNs: 1026-0226

Abstract

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.