Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control

Abstract

AbstractIn this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By using Lyapunov functionals, we obtain an upper bound $\tau ^{*}$ τ ∗ on the duration τ between two consecutive state observations. Meantime, we show that hybrid stochastic systems with variable delay can be stabilized by discrete-time state feedback control as long as $\tau <\tau ^{*}$ τ < τ ∗ . Finally, two examples are given to demonstrate the applicability of our work.