Finite-time stabilization of output-constrained stochastic high-order nonlinear systems with high-order and low-order nonlinearities

This paper investigates finite-time stabilization of output-constrained stochastic high-order nonlinear systems with stochastic inverse dynamics and high-order and low-order nonlinearities. By characterizing the unmeasured stochastic inverse dynamics with finite-time stochastic input-to-state stability and introducing nonlinear transformations, a new design and analysis method is constructed. It is rigorously proved that all the closed-loop signals are bounded almost surely, the asymmetric output constraint isn’t violated almost surely, and the trivial solution of the closed-loop system is finite-time stable in probability.