FINITE-TIME STABILIZATION FOR A CLASS OF STOCHASTIC NONLINEAR SYSTEMS

Fangzheng Gao and Fushun Yuan

Keywords

Stochastic nonlinear systems, state feedback, adding a power inte-grator, finite-time stability

Abstract

This paper investigates the finite-time stabilization for a class of stochastic nonlinear systems dominated by a lower-triangular model. By using stochastic finite-time stability theorem and the method of adding a power integrator, a recursive controller design procedure in the stochastic setting is developed, which guarantees that the closed-loop system is globally finite-time stable in probability. And a simulation example is provided to illustrate the effectiveness of the proposed approach.

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