Title | Stability of networked nonlinear systems: Generalization of small-gain theorem and distributed testing |
Author | |
Corresponding Author | Fu,Minyue |
Publication Years | 2023-06-01
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DOI | |
Source Title | |
ISSN | 0005-1098
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Volume | 152 |
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
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SUSTech Authorship | First
; Corresponding
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ESI Research Field | ENGINEERING
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Scopus EID | 2-s2.0-85150829337
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Data Source | Scopus
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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/524127 |
Department | School 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 Affilication | School of System Design and Intelligent Manufacturing |
Corresponding Author Affilication | School of System Design and Intelligent Manufacturing |
First Author's First Affilication | School 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.
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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).
|
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