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Output‐feedback stabilization of a class of stochastic high‐order nonlinear systems with stochastic inverse dynamics and multidelay

In this article, the problem of output‐feedback stabilization for a class of stochastic high‐order nonlinear systems with stochastic inverse dynamics and multidelay is studied. In the control scheme, an output‐feedback controller with a reduced‐order observer is designed to globally stabilize the whole system. Different from the classical literature on stochastic upper‐triangular systems, a high‐gain‐based technique is utilized to eliminate the effect of uncertainties in z0‐subsystem. By skillfully choosing suitable forms of the control gains and the Lyapunov–Krasovskii functional, we analyze the global asymptotic stability in probability of the closed‐loop system. Finally, two simulation examples are presented to show the effectiveness of our theoretical results.