Input-to-state stability and gain computation for networked control systems  

作　　者：Qianqian Cai Minyue Fu 

机构地区：[1]School of Automation,Guangdong University of Technology,Guangzhou 510006,Guangdong,China [2]School of System Design and Intelligent Manufacturing,Southern University of Science and Technology,Shenzhen 518055,Guangdong,China

出　　处：《Control Theory and Technology》2023年第3期292-300,共9页控制理论与技术（英文版）

基　　金：supported in part by the National Natural Science Foundation of China(Nos.U21A20476,U1911401,U22A20221,62273100,62073090).

摘　　要：This paper studies the stability problem for networked control systems.A general result,called network gain theorem,is introduced to determine the input-to-state stability(ISS)for interconnected nonlinear systems.We show how this result generalises the previously known small gain theorem and cyclic small gain theorem for ISS.For the case of linear networked systems,a complete characterisation of the stability condition is provided,together with two distributed algorithms for computing the network gain:the classical Jacobi iterations and a message-passing algorithm.For the case of nonlinear networked systems,characterisation of the ISS condition can be done using M-functions,and Jacobi iterations can be used to compute the network gain.

关 键 词：Small gain theorem-Networked systems Input-to-state stability Robust stability Distributed algorithm 

分 类 号：O17[理学—数学]