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dc.contributor.authorKawano, Yuen
dc.contributor.authorHosoe, Yoheien
dc.contributor.alternative河野, 佑ja
dc.contributor.alternative細江, 陽平ja
dc.date.accessioned2024-02-01T05:12:43Z-
dc.date.available2024-02-01T05:12:43Z-
dc.date.issued2024-02-
dc.identifier.urihttp://hdl.handle.net/2433/286845-
dc.description非線形確率モデルの安定性理論 --機械学習と自動化技術の橋渡し--. 京都大学プレスリリース. 2023-07-05.ja
dc.description.abstractIn this paper, we develop a novel contraction framework for stability analysis of discrete-time nonlinear systems with parameters following stochastic processes. For general stochastic processes, we first provide a sufficient condition for uniform incremental exponential stability (UIES) in the first moment with respect to a Riemannian metric. Then, focusing on the Euclidean distance, we present a necessary and sufficient condition for UIES in the second moment. By virtue of studying general stochastic processes, we can readily derive UIES conditions for special classes of processes, e.g., independent and identically distributed (i.i.d.) processes and Markov processes, which is demonstrated as selected applications of our results.en
dc.language.isoeng-
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.rights© 2023 The Authors.en
dc.rightsThis work is licensed under a Creative Commons Attribution 4.0 License.en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectNonlinear systemsen
dc.subjectstochastic systemsen
dc.subjectdiscrete-time systemsen
dc.subjectcontractionen
dc.subjectincremental stabilityen
dc.titleContraction Analysis of Discrete-Time Stochastic Systemsen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleIEEE Transactions on Automatic Controlen
dc.identifier.volume69-
dc.identifier.issue2-
dc.identifier.spage982-
dc.identifier.epage997-
dc.relation.doi10.1109/TAC.2023.3283678-
dc.textversionpublisher-
dc.addressGraduate School of Advanced Science and Engineering, Hiroshima Universityen
dc.addressDepartment of Electrical Engineering, Kyoto Universityen
dc.relation.urlhttps://www.t.kyoto-u.ac.jp/ja/research/topics/20230704-
dcterms.accessRightsopen access-
datacite.awardNumber21K14185-
datacite.awardNumber21H04875-
datacite.awardNumber20K04546-
datacite.awardNumber23H01433-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K14185/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04875/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K04546/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H01433/-
dc.identifier.pissn0018-9286-
dc.identifier.eissn1558-2523-
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitleContraction理論に基づく実用的な制御器設計ja
jpcoar.awardTitle情報の取得を包含した制御理論と統計的学習理論の融合数理基盤ja
jpcoar.awardTitle確率的動特性をもつ系の制御理論深化とその応用ja
jpcoar.awardTitle離散時間確率系に関する統一的制御理論の創出と体系化ja
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