中文版 | English
Title

Stability of networked nonlinear systems: Generalization of small-gain theorem and distributed testing

Author
Corresponding AuthorFu,Minyue
Publication Years
2023-06-01
DOI
Source Title
ISSN
0005-1098
Volume152
Abstract
This paper studies the stability problem for networked control systems. A general result is presented to determine either global uniform boundedness (GUB), global asymptotic stability (GAS) or input-to-state stability (ISS), for interconnected nonlinear systems. This result checks stability in terms of a scalar called the network gain, hence we call the result the network gain theorem. The result generalizes the previously known matrix small-gain theorem and cyclic small-gain theorem for ISS. As in these results, our theorem does not assess the stability of a given networked system, but of a whole family of networked systems satisfying certain common assumption. An advantage of our stability condition is that it is not only sufficient, but also necessary, in the sense that, if not met, there exists an unstable networked system within that family. To complement our theoretical result, we propose a fully distributed algorithm to compute the network gain. We present simulation results to illustrate the proposed algorithm.
Keywords
URL[Source Record]
Language
English
SUSTech Authorship
First ; Corresponding
ESI Research Field
ENGINEERING
Scopus EID
2-s2.0-85150829337
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/524127
DepartmentSchool of System Design and Intelligent Manufacturing
Affiliation
1.School of System Design and Intelligent Manufacturing,Southern University of Science and Technology,Shenzhen,518055,China
2.French-Argentinean International Center for Information and Systems Sciences,National Scientific and Technical Research Council,Rosario,2000,Argentina
First Author AffilicationSchool of System Design and Intelligent Manufacturing
Corresponding Author AffilicationSchool of System Design and Intelligent Manufacturing
First Author's First AffilicationSchool of System Design and Intelligent Manufacturing
Recommended Citation
GB/T 7714
Marelli,Damián Edgardo,Fu,Minyue. Stability of networked nonlinear systems: Generalization of small-gain theorem and distributed testing[J]. Automatica,2023,152.
APA
Marelli,Damián Edgardo,&Fu,Minyue.(2023).Stability of networked nonlinear systems: Generalization of small-gain theorem and distributed testing.Automatica,152.
MLA
Marelli,Damián Edgardo,et al."Stability of networked nonlinear systems: Generalization of small-gain theorem and distributed testing".Automatica 152(2023).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Export to Excel
Export to Csv
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[Marelli,Damián Edgardo]'s Articles
[Fu,Minyue]'s Articles
Baidu Scholar
Similar articles in Baidu Scholar
[Marelli,Damián Edgardo]'s Articles
[Fu,Minyue]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Marelli,Damián Edgardo]'s Articles
[Fu,Minyue]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.