Stability analysis of positive systems with bounded time-varying delays

Authors:
Xingwen Liu;Wensheng Yu;Long Wang
Affiliations:
Institute of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu, China;Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing, China and Shanghai Key Laboratory of Trustworthy Computing, East China No ...;Center for Systems and Control, College of Engineering and Key Laboratory of Machine Perception, Peking University, Beijing, China
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

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Abstract

This brief addresses stability of the discrete-time positive systems with bounded time-varying delays and establishes some necessary and sufficient conditions for asymptotic stability of such systems. It turns out that, for any bounded time-varying delays, the magnitude of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.