Finite-Time Stochastic Integral Input-to-State Stability Revisited and Its Further Applications

In this article, we revisit finite-time stochastic integral input-to-state stability (FT-SiISS) and gives its further applications. Its contributions are two-fold: first, FT-SiISS is further discussed by reconstructing two new counterexamples that are different from Cui and Xie (2023), whose research significance is to find more practical systems satisfying FT-SiISS rather than FT-SISS. Second, as its application, we further solve the problem of finite-time stabilization for more general stochastic high-order nonlinear systems with FT-SiISS inverse dynamics. A novel control design and analysis method is constructed to guarantee that the solution of the closed-loop system is stochastically finite-time stable.