Global output feedback stabilization of stochastic uncertain nonlinear systems with large constant delays

This paper studies the problem of output feedback stabilization for a class of stochastic uncertain nonlinear systems with large constant delays in state and input. For stochastic nonlinear systems, the maximal open sector Delta of output function is given. As long as output function belongs to any closed sector included in Delta, by constructing a reduced-order observer and $ \mathcal {C}<^>2 $ C2 Lyapunov-Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.