Output feedback control for a class of stochastic high‐order nonlinear systems with time‐varying delays

SUMMARY This paper discusses the problem of output feedback stabilization for a more general class of stochastic high-order nonlinear systems with time-varying delays. On the basis of a subtle homogeneous observer and controller construction, and the homogeneous domination approach, the closed-loop system is globally asymptotically stable in probability, by choosing an appropriate Lyapunov–Krasovskii functional. An example is given to illustrate the effectiveness of the proposed design procedure. Copyright © 2013 John Wiley & Sons, Ltd.

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