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

作     者：Xie, Ruiming Xu, Shengyuan 

作者机构：Nanjing University of Science and Technology School of Automation Nanjing210094 China 

出 版 物：《IEEE Transactions on Automatic Control》 (IEEE Trans Autom Control)

年 卷 期：2024年第70卷第6期

页      面：3984-3991页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 08[工学] 0714[理学-统计学（可授理学、经济学学位）] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China 333 project 

主　　题：Choquet integral 

摘      要：This paper revisits finite-time stochastic integral input-to-state stability (FT-SiISS) and gives its further applications. Its contributions are two-fold: (i) FT-SiISS is further discussed by reconstructing two new counterexamples that are different from [24], whose research significance is to find more practical systems satisfying FT-SiISS rather than FT-SISS. (ii) 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. © 1963-2012 IEEE.