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Article: Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case

TitleLyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case
Authors
Liu, THill, DJJiang, ZP
KeywordsDiscrete-Time
Dynamical Networks
Input-To-State Stability (Iss)
Lyapunov Functions
Small-Gain
Issue Date2012
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2012, v. 61 n. 1, p. 266-272 How to Cite?
DOI: http://dx.doi.org/10.1016/j.sysconle.2011.11.002
AbstractThis paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying the cyclic-small-gain condition are constructed from the ISS-Lyapunov functions of the subsystems. © 2011 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169734
ISSN
0167-6911
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 1.503
ISI Accession Number ID
WOS:000300810100037
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.issued2012en_US
dc.identifier.citationSystems And Control Letters, 2012, v. 61 n. 1, p. 266-272en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/169734-
dc.description.abstractThis paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying the cyclic-small-gain condition are constructed from the ISS-Lyapunov functions of the subsystems. © 2011 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_US
dc.relation.ispartofSystems and Control Lettersen_US
dc.subjectDiscrete-Timeen_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 the large-scale, ISS cyclic-small-gain theorem: The discrete-time caseen_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.sysconle.2011.11.002en_US
dc.identifier.scopuseid_2-s2.0-83055168393en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-83055168393&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume61en_US
dc.identifier.issue1en_US
dc.identifier.spage266en_US
dc.identifier.epage272en_US
dc.identifier.isiWOS:000300810100037-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLiu, T=8656182400en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.scopusauthoridJiang, ZP=7404279463en_US
dc.identifier.citeulike10122774-
dc.identifier.issnl0167-6911-

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