On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks
Tao Liu1
Jie Huang2
1.Shenzhen Key Laboratory of Control Theory and Intelligent Systems,Southern University of Science and Technology,Shenzhen 518055,Guangdong,China2.Shenzhen Research Institute,The Chinese University of Hong Kong,Shenzhen 518057,Guangdong,China;Department of Mechanical and Automation Engineering,The Chinese University of Hong Kong,Hong Kong,China
摘要：The leader-following asymptotic consensus problem for general discrete-time linear multi-agent systems over jointly con-nected switching networks was solved about a decade ago.Recently,the leader-following exponential consensus was further established using the so-called Krasovskii-LaSalle theorem for a class of discrete-time linear switched systems.But this method involves some advanced concepts such as the weak zero-state detectability of some limiting system.In this paper,we offer a simpler solution to the leader-following exponential consensus problem for general discrete-time linear multi-agent systems over jointly connected switching networks.After converting the solvability of the problem to the establishment of the exponential stability for a class of discrete-time linear switched systems,we first show that this class of linear switched systems is uniformly completely observable.Then,we further conclude that the uniform complete observability for this class of linear switched systems implies the exponential stability for the same class of linear switched systems,thus leading to the solution of the leader-following exponential consensus problem.Moreover,our approach also gives rise to an explicit characterization of the exponential convergence rate of the leader-following consensus problem.
机标关键词：multi-agentconsensussystemslinearoverconnecteddiscrete-timeexponential
论文发表日期：2023-08-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：9( 469-477 )
英文信息