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dc.contributor.authorForni, F
dc.contributor.authorSepulchre, R
dc.date.accessioned2018-09-10T22:17:41Z
dc.date.available2018-09-10T22:17:41Z
dc.date.issued2019
dc.identifier.issn0018-9286
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/280084
dc.description.abstractHigh-dimensional systems that have a low-dimensional dominant behavior allow for model reduction and simplified analysis. We use differential analysis to formalize this important concept in a nonlinear setting. We show that dominance can be studied through linear dissipation inequalities and an interconnection theory that closely mimics the classical analysis of stability by means of dissipativity theory. In this approach, stability is seen as the limiting situation where the dominant behavior is 0-dimensional. The generalization opens novel tractable avenues to study multistability through 1-dominance and limit cycle oscillations through 2-dominance.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.titleDifferential Dissipativity Theory for Dominance Analysis
dc.typeArticle
prism.endingPage2351
prism.issueIdentifier6
prism.publicationDate2019
prism.publicationNameIEEE Transactions on Automatic Control
prism.startingPage2340
prism.volume64
dc.identifier.doi10.17863/CAM.27448
dcterms.dateAccepted2018-07-27
rioxxterms.versionofrecord10.1109/TAC.2018.2867920
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2019-06-01
dc.contributor.orcidForni, F [0000-0002-5728-0176]
dc.contributor.orcidSepulchre, R [0000-0002-7047-3124]
dc.identifier.eissn1558-2523
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEuropean Research Council (670645)
cam.issuedOnline2018-08-30


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