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.