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Output-feedback stabilization for stochastic high-order nonlinear systems with a ratio of odd integers power. (English) Zbl 1240.93351
Summary: This paper investigates the problem of output-feedback control for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By adding a power integrator technique, introducing a new rescaling transformation, and choosing an appropriate Lyapunov function, an output-feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Furthermore, we address the problem of inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the design.

93E15Stochastic stability
93D15Stabilization of systems by feedback
93C10Nonlinear control systems
93B52Feedback control
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