| Title | On the leader-following exponential consensus of discrete-time linear multi-agent systems over jointly connected switching networks |
| Author | |
| Corresponding Author | Huang, Jie |
| Publication Years | 2023-09-01
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| DOI | |
| Source Title | |
| ISSN | 2095-6983
|
| EISSN | 2198-0942
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| Abstract | 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. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
|
| Funding Project | 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]
|
| WOS Research Area | Automation & Control Systems
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| WOS Subject | Automation & Control Systems
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| WOS Accession No | WOS:001075468300003
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| Publisher | |
| Data Source | Web of Science
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| Citation statistics |
Cited Times [WOS]:0
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| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/575866 |
| Affiliation | 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 |
| First Author Affilication | Southern University of Science and Technology |
| First Author's First Affilication | Southern University of Science and Technology |
| Recommended Citation GB/T 7714 |
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.
|
| APA |
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.
|
| MLA |
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 (2023).
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