Abstract
Addressed in this paper is the stability issue of discrete-time periodic positive systems with constant delay. The positivity condition of the periodic system with constant delay is given, and three sufficient and necessary conditions for the asymptotic stability of the considered system are established. Note that the positivity condition in this paper is different from that in the Ref. (Bougatef et al, On the stabilization of a class of periodic positive discrete time systems, 2010. [3]), which gives the sufficient condition of the system without delay. The sufficient and necessary condition of the positivity of the system with delay is produced in this paper. Finally, a numerical example is given to demonstrate the effectiveness.
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