This paper deals with the problems of the robust stochastic stability and stabilization for a class of uncertain discrete-time stochastic\nsystems with interval time-varying delays and nonlinear disturbances. By utilizing a new Lyapunov-Krasovskii functional and\nsome well-known inequalities, some new delay-dependent criteria are developed to guarantee the robust stochastic stability of\na class of uncertain discrete-time stochastic systems in terms of the linear matrix inequality (LMI). Then based on the state\nfeedback controller, the delay-dependent sufficient conditions of robust stochastic stabilization for a class of uncertain discrete-time\nstochastic systems with interval time-varying delays are established. The controller gain is designed to ensure the robust stochastic\nstability of the closed-loop system. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method.
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