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Article: Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

TitleLyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks
Authors
Liu, THill, DJJiang, ZP
KeywordsDynamical Networks
Input-To-State Stability (Iss)
Lyapunov Functions
Small-Gain
Issue Date2011
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2011, v. 47 n. 9, p. 2088-2093 How to Cite?
DOI: http://dx.doi.org/10.1016/j.automatica.2011.06.018
AbstractThis paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems. © 2011 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169732
ISSN
0005-1098
2021 Impact Factor: 6.150
2020 SCImago Journal Rankings: 3.132
ISI Accession Number ID
WOS:000294877400030
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ten_US
dc.contributor.authorHill, DJen_US
dc.contributor.authorJiang, ZPen_US
dc.date.accessioned2012-10-25T04:54:30Z-
dc.date.available2012-10-25T04:54:30Z-
dc.date.issued2011en_US
dc.identifier.citationAutomatica, 2011, v. 47 n. 9, p. 2088-2093en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/169732-
dc.description.abstractThis paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems. © 2011 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectDynamical Networksen_US
dc.subjectInput-To-State Stability (Iss)en_US
dc.subjectLyapunov Functionsen_US
dc.subjectSmall-Gainen_US
dc.titleLyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networksen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.automatica.2011.06.018en_US
dc.identifier.scopuseid_2-s2.0-80052035782en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80052035782&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume47en_US
dc.identifier.issue9en_US
dc.identifier.spage2088en_US
dc.identifier.epage2093en_US
dc.identifier.isiWOS:000294877400030-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLiu, T=8656182400en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.scopusauthoridJiang, ZP=7404279463en_US
dc.identifier.citeulike9562654-
dc.identifier.issnl0005-1098-

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