State feedback control for a class of stochastic nonlinear systems with SiISS inverse dynamics

The research purpose of this paper is to investigate the state feedback control, for a more general class of stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics and drift and diffusion terms depending upon the other states besides stochastic inverse dynamics and the first state. By skillfully choosing the designed functions and the update laws of parameters, and using the important mathematical tools established in [19], a unifying framework of state feedback controller is proposed to guarantee that all the signals of the closed-loop system are bounded almost surely and the states can be regulated to zero almost surely.