Robust stabilization of 2-D state-delayed systems with stochastic perturbation

Delay systems may be encountered stochastic perturbation, and the stability conditions of such systems are different from delay systems and stochastic systems. This paper considers the problems of robust stabilization for 2-D state-delayed system in Roesser model (RM) with stochastic perturbation for the first time. Delay-dependent sufficient stability conditions are derived in terms of linear matrix inequalities (LMIs).A state feedback controller is designed to ensure robust mean-square stability of the closed-loop system. An example is provided to demonstrate the effectiveness of the proposed approach.