Abstract
In this paper,the problem of global finite-time stabilization by state feedback for a class of continuous but nonsmooth stochastic nonlinear systems is studied.By extending the adding-a-power-integrator technique and constructing quartic Lyapunov function,the state feedback finite time stabilization controller is designed systematically.Based on the criterion on finite time stability of stochastic systems,the closed loop system can be proved to be finite time stable.Further,the simulation result verifies the validity of the designed controller.
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