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Article: Exponential feedback passivity and stabilizability of nonlinear systems

TitleExponential feedback passivity and stabilizability of nonlinear systems
Authors
Fradkov, ALHill, DJ
KeywordsExponential Passivity
Exponential Stability
Nonlinear Systems
Issue Date1998
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 1998, v. 34 n. 6, p. 697-703 How to Cite?
AbstractMotivated by N. Krasovskii's characterisation of exponential stability, the concept of exponential passivity is introduced. It is shown that to make a nonlinear system with factorisable high-frequency gain matrix exponentially passive via either state or output feedback, exponential minimum phaseness and invertibility conditions are necessary and sufficient. These conditions also guarantee exponential output feedback stabilisability. This result extends previous results concerning linear systems. © 1988 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169657
ISSN
0005-1098
2023 Impact Factor: 4.8
2023 SCImago Journal Rankings: 3.502
ISI Accession Number ID
WOS:000074829500003
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorFradkov, ALen_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:03Z-
dc.date.available2012-10-25T04:54:03Z-
dc.date.issued1998en_US
dc.identifier.citationAutomatica, 1998, v. 34 n. 6, p. 697-703en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/169657-
dc.description.abstractMotivated by N. Krasovskii's characterisation of exponential stability, the concept of exponential passivity is introduced. It is shown that to make a nonlinear system with factorisable high-frequency gain matrix exponentially passive via either state or output feedback, exponential minimum phaseness and invertibility conditions are necessary and sufficient. These conditions also guarantee exponential output feedback stabilisability. This result extends previous results concerning linear systems. © 1988 Elsevier Science 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.subjectExponential Passivityen_US
dc.subjectExponential Stabilityen_US
dc.subjectNonlinear Systemsen_US
dc.titleExponential feedback passivity and stabilizability of nonlinear systemsen_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.scopuseid_2-s2.0-0032090303en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032090303&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume34en_US
dc.identifier.issue6en_US
dc.identifier.spage697en_US
dc.identifier.epage703en_US
dc.identifier.isiWOS:000074829500003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridFradkov, AL=7005397709en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.issnl0005-1098-

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