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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.
Circuits and Systems II: Express Briefs, IEEE Transactions on (Volume:56 , Issue: 7 )
Date of Publication: July 2009