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This paper studies an output feedback stabilization control framework fordiscrete-time linear systems with stochastic dynamics determined by anindependent and identically distributed (i.i.d.) process. The controller isconstructed with an ensemble Kalman filter (EnKF) and a feedback gain designedwith our earlier result about state feedback control. The EnKF is also used formodeling the distribution behind the system, which is required in the feedbackgain synthesis. The effectiveness of our control framework is demonstrated withnumerical experiments. This study will become the first step toward therealization of learning type control using our stochastic systems controltheory.

Distribution Modeling and Stabilization Control for Discrete-Time Linear Random Dynamical Systems Using Ensemble Kalman Filter