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Convergence to Periodic Regimes in Nonlinear Feedback Systems with a Strongly Convex Backlash

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dc.contributor.authorVladimirov, Igor
dc.contributor.authorPetersen, Ian
dc.coverage.spatialSaint Petersburg, Russian Federation
dc.date.accessioned2024-01-21T22:43:46Z
dc.date.created12-15 May 2020
dc.date.issued2020
dc.date.updated2022-10-02T07:17:04Z
dc.description.abstractThis paper considers a class of nonlinear systems consisting of a linear part with an external input and a nonlinear feedback with a backlash. Assuming that the latter is specified by a strongly convex set, we establish estimates for the Lyapunov exponents which quantify the rate of convergence of the system trajectories to a forced periodic regime when the input is a periodic function of time. These results employ enhanced dissipation inequalities for differential inclusions with strongly convex sets, which were used previously for the Moreau sweeping process.en_AU
dc.description.sponsorshipThis work is supported by the Australian Research Council under grant DP180101805.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn978-390714401-5en_AU
dc.identifier.urihttp://hdl.handle.net/1885/311653
dc.language.isoen_AUen_AU
dc.provenancehttps://www.ieee.org/publications/rights/author-posting-policy.html..."The policy reaffirms the principle that authors are free to post their own version of their IEEE periodical or conference articles on their personal Web sites, those of their employers, or their funding agencies for the purpose of meeting public availability requirements prescribed by their funding agencies." from the publisher site (as at 30 Jan 2024) © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP180101805en_AU
dc.relation.ispartofseries18th European Control Conference, ECC 2020en_AU
dc.rights© 2020 IEEEen_AU
dc.sourceProceedings of the 18th European Control Conferenceen_AU
dc.titleConvergence to Periodic Regimes in Nonlinear Feedback Systems with a Strongly Convex Backlashen_AU
dc.typeConference paperen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.lastpage76en_AU
local.bibliographicCitation.startpage71en_AU
local.contributor.affiliationVladimirov, Igor, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANUen_AU
local.contributor.authoruidVladimirov, Igor, u1038773en_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.description.notesImported from ARIESen_AU
local.description.refereedYes
local.identifier.absfor400705 - Control engineeringen_AU
local.identifier.absseo280110 - Expanding knowledge in engineeringen_AU
local.identifier.ariespublicationa383154xPUB13979en_AU
local.identifier.doi10.23919/ECC51009.2020.9143648en_AU
local.identifier.scopusID2-s2.0-85090136261
local.type.statusAccepted Versionen_AU

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