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dc.contributor.authorSlotine, Jean-Jacques E.
dc.contributor.authorPham, Quang-Cuong
dc.contributor.authorTabareau, Nicolas
dc.date.accessioned2010-04-29T15:46:08Z
dc.date.available2010-04-29T15:46:08Z
dc.date.issued2009-04
dc.date.submitted2008-10
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/1721.1/54684
dc.description.abstractWe investigate the incremental stability properties of Ito stochastic dynamical systems. Specifically, we derive a stochastic version of nonlinear contraction theory that provides a bound on the mean square distance between any two trajectories of a stochastically contracting system. This bound can be expressed as a function of the noise intensity and the contraction rate of the noise-free system. We illustrate these results in the contexts of nonlinear observers design and stochastic synchronization.en
dc.description.sponsorshipNeurobotics (FP6-IST-001917)en
dc.description.sponsorshipEuropean Community Projects BACS (FP6-IST-027140)en
dc.language.isoen_US
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAC.2008.2009619en
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en
dc.sourceIEEEen
dc.subjectstochastic stabilityen
dc.subjectnonlinear contraction theoryen
dc.subjectIncremental stabilityen
dc.titleA contraction theory approach to stochastic incremental stabilityen
dc.typeArticleen
dc.identifier.citationQuang-Cuong Pham, N. Tabareau, and J.-J. Slotine. “A Contraction Theory Approach to Stochastic Incremental Stability.” Automatic Control, IEEE Transactions on 54.4 (2009): 816-820. © 2009 IEEEen
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Nonlinear Systems Laboratoryen_US
dc.contributor.approverSlotine, Jean-Jacques E.
dc.contributor.mitauthorSlotine, Jean-Jacques E.
dc.relation.journalIEEE Transactions on Automatic Controlen
dc.eprint.versionFinal published versionen
dc.type.urihttp://purl.org/eprint/type/JournalArticleen
eprint.statushttp://purl.org/eprint/status/PeerRevieweden
dspace.orderedauthorsQuang-Cuong Pham; Tabareau, N.; Slotine, J.-J.en
dc.identifier.orcidhttps://orcid.org/0000-0002-7161-7812
mit.licensePUBLISHER_POLICYen
mit.metadata.statusComplete


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