Global output feedback stabilisation for a class of stochastic feedforward non-linear systems with state time delay

Global output feedback stabilisation problem for a class of stochastic feedforward non-linear systems with state time delay is investigated in this study for the first time. By introducing the homogeneous domination approach in the stochastic system, constructing an implementable homogeneous reduced-order observer and choosing an appropriate Lyapunov-Krasoviskii functional, an output feedback controller is designed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. A simulation example is provided to show the effectiveness of the designed controller.