{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T02:21:11Z","timestamp":1777602071707,"version":"3.51.4"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-22-1-0059"],"award-info":[{"award-number":["FA9550-22-1-0059"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fondazione Ing. Aldo Gini"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2024,5]]},"DOI":"10.1109\/tac.2023.3302788","type":"journal-article","created":{"date-parts":[[2023,8,7]],"date-time":"2023-08-07T18:37:23Z","timestamp":1691433443000},"page":"3040-3053","source":"Crossref","is-referenced-by-count":8,"title":["Dual Seminorms, Ergodic Coefficients and Semicontraction Theory"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8587-967X","authenticated-orcid":false,"given":"Giulia","family":"De Pasquale","sequence":"first","affiliation":[{"name":"Dipartimento di Ingegneria dell&#x0027;Informazione, Universit&#x00E0; di Padova, Padova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1407-5893","authenticated-orcid":false,"given":"Kevin D.","family":"Smith","sequence":"additional","affiliation":[{"name":"Center for Control, Dynamical Systems, and Computation, UC Santa Barbara, Santa Barbara, CA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4785-2118","authenticated-orcid":false,"given":"Francesco","family":"Bullo","sequence":"additional","affiliation":[{"name":"Center for Control, Dynamical Systems, and Computation, UC Santa Barbara, Santa Barbara, CA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7595-3688","authenticated-orcid":false,"given":"Maria Elena","family":"Valcher","sequence":"additional","affiliation":[{"name":"Dipartimento di Ingegneria dell&#x0027;Informazione, Universit&#x00E0; di Padova, Padova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-3-1-133-181"},{"key":"ref2","first-page":"135","article-title":"Extensions of the law of large numbers to dependent quantities","volume-title":"Izvestiya Fiziko-Matematicheskogo Obschestva Pri Kazanskom Universitete","volume":"15","author":"Markov","year":"1906"},{"key":"ref3","first-page":"1","article-title":"Markov and the creation of Markov chains","volume-title":"Proc. Markov Anniversary Meeting","author":"Seneta","year":"2006"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0094586"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000739"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/72.508941"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2427691"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2014.2367361"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.03.025"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2015.2395075"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3073096"},{"issue":"3","key":"ref13","article-title":"Dissipativity of a nonlinear system of differential equations","volume":"16","author":"Demidovi","year":"1961","journal-title":"Uspekhi Matematicheskikh Nauk"},{"key":"ref14","volume-title":"Stability of Motion. Applications of Lyapunovs Second Method to Differential Systems and Equations With Delay","author":"Krasovski","year":"1963"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1115\/1.3426967"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00019-3"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s00422-004-0527-x"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2013.12.016"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2285771"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1002\/acs.754"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-47824-0_12"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.917743"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/BF01457949"},{"key":"ref24","first-page":"3","volume-title":"Le Cas Discontinu Des Probabilits en Chane","author":"Doeblin","year":"1937"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/1101006"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-32792-4"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/090752948"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2020.1777251"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2011.2159689"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2912490"},{"key":"ref31","article-title":"Orientation and connectivity based criteria for asymptotic consensus","author":"Charron-Bost","year":"2013"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2023.3302788"},{"key":"ref33","volume-title":"Lectures on Network Systems","author":"Bullo","year":"2022"},{"key":"ref34","volume-title":"Contraction Theory for Dynamical Systems","author":"Bullo","year":"2023"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(85)90125-9"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-32792-4"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(75)90050-6"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.2307\/1427341"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1090\/mbk\/107"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/BF01093289"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(84)90079-X"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2023.3275169"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(91)90072-9"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2011.6160989"},{"key":"ref46","volume-title":"Mathematical Economics","author":"Takayama","year":"1985"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/10508541\/10210126.pdf?arnumber=10210126","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,2]],"date-time":"2025-01-02T19:49:06Z","timestamp":1735847346000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10210126\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5]]},"references-count":46,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tac.2023.3302788","relation":{},"ISSN":["0018-9286","1558-2523","2334-3303"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"},{"value":"2334-3303","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,5]]}}}