Prediction-based controller for linear systems with stochastic input delay

We study the stabilization problem of a linear time-invariant system with an unknown stochastic input delay. propose to robustly compensate for delay constant time horizon prediction-based controller. prove mean-square exponential closed-loop under sufficient condition, which requires range values be sufficiently narrow and used in controller chosen this range. Numerical simulations illustrate relevance condition merits our control design.