Adaptive State-Feedback Stabilization for High-Order Stochastic Nonlinear Systems with Time-Varying Control Coefficients

This paper investigates the adaptive state-feedback stabilization problem for a class of high-order stochastic nonlinear systems with unknown lower and supper bounds for time-varying control coefficients. Under some weaker and reasonable assumptions, a smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution, the equilibrium of interest is globally stable in probability and the states can be regulated to the origin almost surely.