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

• 成果类型: Article
• 署名作者: Xie, Ruiming; Xu, Shengyuan
• 署名单位: Nanjing University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3523260
• 发表日期: 2025
• 页码: 3984-3991
• 关键词: Stability criteria; Stochastic systems; nonlinear dynamical systems; asymptotic stability; uncertainty; vectors; stress; STANDARDS; Lyapunov methods; CONVERGENCE; Finite-time stochastic integral input-to-state stability (FT-SiISS); stochastic finite-time stability; stochastic high-order nonlinear systems; stochastic inverse dynamics

摘要

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.