Dynamic output feedback stabilization of controlled positive discrete-time systems with delays (Q607910)

The aim of this work is to study the feedback stabilization for some positive discrete-time systems with delays. The control is under positivity constraints. The dynamical system associated to discrete system preserves the positivity which is a natural phenomena in physical systems. Sufficient conditions are provided to get the asymptotic stability in Lyapunov sense for the discrete-time systems with delay. The delay is free and all the stability results obtained in this paper are delay-independent. For illustration, the authors proposed some numerical simulations for some examples involving the delay.