{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:26:20Z","timestamp":1780935980346,"version":"3.54.1"},"reference-count":53,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2017,11,1]],"date-time":"2017-11-01T00:00:00Z","timestamp":1509494400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100000761","name":"Imperial College London","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000761","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Junior Research Fellowship Scheme"},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Research Council","doi-asserted-by":"crossref","award":["STABLE-NET EP\/L014343\/1"],"award-info":[{"award-number":["STABLE-NET EP\/L014343\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2017,11]]},"DOI":"10.1109\/tac.2017.2687760","type":"journal-article","created":{"date-parts":[[2017,4,17]],"date-time":"2017-04-17T18:10:05Z","timestamp":1492452605000},"page":"5666-5677","source":"Crossref","is-referenced-by-count":59,"title":["A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems"],"prefix":"10.1109","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1597-0395","authenticated-orcid":false,"given":"Alberto","family":"Padoan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5807-9004","authenticated-orcid":false,"given":"Giordano","family":"Scarciotti","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4331-454X","authenticated-orcid":false,"given":"Alessandro","family":"Astolfi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755316"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1155\/9789774540998"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.06.096"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.01.014"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"2539","DOI":"10.1016\/j.automatica.2014.08.002","article-title":"State derivative feedback for adaptive cancellation of unmatched disturbances in unknown strict-feedback LTI systems","volume":"50","author":"ba?t\u00fcrk","year":"2014","journal-title":"Automatica"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.923688"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817"},{"key":"ref36","first-page":"3843","article-title":"A geometric characterisation of persistently exciting sequences generated by discrete-time autonomous systems","author":"padoan","year":"2016","journal-title":"Proc 5th Conf Decision and Control"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2016.10.268"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.08.023"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"3506","DOI":"10.1109\/CDC.2002.1184418","article-title":"$\\delta$-persistency of excitation: A necessary and sufficient condition for uniform attractivity","volume":"3","author":"lor\u00eda","year":"2002","journal-title":"Proc 41st Conf Decision Control"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/9.975471"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.841939"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.automatica.2013.10.012","article-title":"Control: A perspective","volume":"50","author":"astr\u00f6m","year":"2014","journal-title":"Automatica"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0068-7"},{"key":"ref20","author":"narendra","year":"1989","journal-title":"Stable Adaptive Systems"},{"key":"ref22","author":"ioannou","year":"1995","journal-title":"Robust Adaptive Control"},{"key":"ref21","author":"wittenmark","year":"1995","journal-title":"Adaptive Control"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2034199"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1002\/0471459100"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2370471"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.10.028"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/ECC.2015.7330566"},{"key":"ref51","author":"sontag","year":"1998","journal-title":"Mathematical Control Theory Deterministic Finite Dimensional Systems"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1080\/00207178708933715"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718713"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2013.05.014"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/9.898695"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-09819-7"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2046044"},{"key":"ref13","first-page":"96","article-title":"Numerical identification of linear dynamic systems from normal operating records","author":"\u00e5str\u00f6m","year":"1965","journal-title":"Proc 2nd IFAC Symp Self-adaptive Systems"},{"key":"ref14","author":"s\u00f6derstr\u00f6m","year":"1989","journal-title":"System Identification"},{"key":"ref15","author":"ljung","year":"1999","journal-title":"System Identification&#x2014;Theory for the User"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0465-4"},{"key":"ref17","author":"katayama","year":"2006","journal-title":"Subspace Methods for System Identification"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/0315013"},{"key":"ref19","author":"sastry","year":"1989","journal-title":"Adaptive Control Stability Convergence and Robustness"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2101-0"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.06.010"},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.1007\/b97376","author":"bloch","year":"2003","journal-title":"Nonholonomic Mechanics and Control"},{"key":"ref5","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84628-615-5","author":"isidori","year":"1995","journal-title":"Nonlinear Control Systems"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1977.1101601"},{"key":"ref7","author":"westervelt","year":"2007","journal-title":"Feedback Control of Dynamic Bipedal Robot Locomotion"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2015.7170799"},{"key":"ref9","first-page":"1115","article-title":"Feedback invariants for nonlinear systems","author":"brockett","year":"1978","journal-title":"Proc 6th IFAC World Congr"},{"key":"ref46","author":"sastry","year":"1999","journal-title":"Nonlinear Systems Analysis Stability and Control"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(86)90052-6"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2461093"},{"key":"ref47","author":"chicone","year":"2006","journal-title":"Ordinary Differential Equations with Applications"},{"key":"ref42","author":"nemytskii","year":"1960","journal-title":"Qualitative Theory of Differential Equations"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-1763-0"},{"key":"ref44","first-page":"303","article-title":"An introduction to topological dynamics in dimension one","volume":"55","author":"vesentini","year":"1999","journal-title":"Rend Sem Mat Univ Politec Torino"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0070324"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/8082390\/07902166.pdf?arnumber=7902166","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:26:15Z","timestamp":1642004775000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7902166\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11]]},"references-count":53,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tac.2017.2687760","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":[[2017,11]]}}}