标题：Finite-Time Consensus of Stochastic Nonlinear Multi-agent Systems
作者：Wang, Fang; Zhang, Yan; Zhang, Lili; Zhang, Jing; Huang, Yuanyuan
作者机构：[Wang, Fang; Zhang, Yan] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China.; [Zhang, Lili] Guangdong Univ Technol, 更多
通讯作者：Wang, Fang;Wang, F
通讯作者地址：[Wang, F]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China.
来源：INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
关键词：Adaptive fuzzy control; Stochastic multi-agent systems; Finite-time; consensus; Square stability
摘要：This article studies the finite-time consensus of the stochastic nonlinear multi-agent systems under a directed communication topology. Since the inherent nonlinear dynamics and stochastic disturbances in multi-agent systems are completely unknown, the existing finite-time stability criterion becomes unavailable. To handle this difficulty, by applying the mean value theorem of integrals, a key finite-time stability criterion in integral form is first established. Then, based on the approximation property of the fuzzy logic systems, a distributed adaptive fuzzy control scheme is presented. Under the presented control strategy, the finite-time consensus of the stochastic nonlinear multi-agent systems is achieved. By applying Jessen's inequality and Theorem 1, the finite-time stability of the closed system is proved. Finally, the simulation result shows the validity of the distributed controller.