The adaptive stabilization scheme based on tuning function for stochastic nonlinear systems with\r\nstochastic integral input-to-state stability SiISS inverse dynamics is investigated. By combining\r\nthe stochastic LaSalle theorem and small-gain type conditions on SiISS, an adaptive output feedback\r\ncontroller is constructively designed. It is shown that all the closed-loop signals are bounded\r\nalmost surely and the stochastic closed-loop system is globally stable in probability.
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