On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks

Liu, Tao1; Huang, Jie2,3

2023-09-01

10.1007/s11768-023-00168-5

CONTROL THEORY AND TECHNOLOGY   影响因子和分区

2095-6983

2198-0942

The leader-following asymptotic consensus problem for general discrete-time linear multi-agent systems over jointly connected 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.

Leader-following consensus Exponential stabilization Linear switched systems Discrete-time systems

ESCI ; EI

英语

第一

Shenzhen Key Laboratory of Control Theory and Intelligent Systems[ZDSYS20220330161800001] ; Research Grants Council of the Hong Kong Special Administrative Region[14201420] ; National Natural Science Foundation of China[61973260]

Automation & Control Systems

Automation & Control Systems

WOS:001075468300003

SPRINGER MEDIZIN VERLAG GmBH

20234014834082

Digital control systems ; Discrete time control systems ; Observability ; Switching networks ; Switching systems ; System stability

Control Systems:731.1 ; Systems Science:961

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Key Lab Control Theory & Intelligent Syst, Shenzhen 518055, Guangdong, Peoples R China
2.Chinese Univ Hong Kong, Shenzhen Res Inst, Shenzhen 518057, Guangdong, Peoples R China
3.Chinese Univ Hong Kong, Dept Mech & Automat Engn, Hong Kong, Peoples R China

Liu, Tao,Huang, Jie. On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks[J]. CONTROL THEORY AND TECHNOLOGY,2023,21(3):469-477.

Liu, Tao,&Huang, Jie.(2023).On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks.CONTROL THEORY AND TECHNOLOGY,21(3),469-477.

Liu, Tao,et al."On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks".CONTROL THEORY AND TECHNOLOGY 21.3(2023):469-477.