Abstract
An adaptive state-feedback stabilization is investigated for a class of high-order stochastic nonlinear systems in which the upper bound of the function fi(·) depends on the state x i+1 besides the states x 1, …, x i and z. A smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution, and the equilibrium is globally stable in probability. A numerical simulation example is given to show the systematic design and the effectiveness of controller.
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