{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T07:13:27Z","timestamp":1769843607062,"version":"3.49.0"},"reference-count":32,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T00:00:00Z","timestamp":1627776000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T00:00:00Z","timestamp":1627776000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T00:00:00Z","timestamp":1627776000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"STW Smart Industry"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2021,8]]},"DOI":"10.1109\/tac.2020.3036021","type":"journal-article","created":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T20:38:11Z","timestamp":1604695091000},"page":"3682-3694","source":"Crossref","is-referenced-by-count":13,"title":["Characterizations of Global Transversal Exponential Stability"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1877-6205","authenticated-orcid":false,"given":"Vincent","family":"Andrieu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0987-0347","authenticated-orcid":false,"given":"Bayu","family":"Jayawardhana","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4380-7616","authenticated-orcid":false,"given":"Laurent","family":"Praly","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref32","article-title":"Normally hyperbolic invariant manifolds in dynamical systems","volume":"37","author":"wiggins","year":"1995","journal-title":"SIAM Rev"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2000113"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0967-9"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6760930"},{"key":"ref11","author":"hale","year":"1980","journal-title":"Ordinary Differential Equations"},{"key":"ref12","article-title":"Asymptotic phase, shadowing and reaction-diffusion systems","author":"hirsch","year":"1994","journal-title":"Differential Equations Dynamical Systems and Control Science"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0092042"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02581-9"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2015.20.2333"},{"key":"ref16","author":"khalil","year":"2002","journal-title":"Nonlinear Systems"},{"key":"ref17","first-page":"19","article-title":"On the inversion of Lyapunov second theorem on stability of motion","volume":"2","author":"kurzweil","year":"1956","journal-title":"Ann Math Soc Trans Ser"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2012.08.017"},{"key":"ref19","first-page":"203","volume":"9","author":"liapounoff","year":"1907","journal-title":"Problème général de la stabilité du mouvement"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2179873"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01153574"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9362-7"},{"key":"ref3","article-title":"Characterizations of global transverse exponential stability (long version)","author":"andrieu","year":"2020"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1972.21.21017"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2504483"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aaca8d"},{"key":"ref8","article-title":"Differential positivity characterizes one-dimensional normally hyperbolic attractors","author":"forni","year":"2015","journal-title":"arXiv 1511 06996"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00054474"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2528050"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2285771"},{"key":"ref1","first-page":"3","article-title":"Lyapunov functions obtained from first order approximations","year":"2017","journal-title":"Feedback Stabilization of Controlled Dynamical Systems"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/00207179208934253"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.2307\/1969558"},{"key":"ref21","first-page":"129","article-title":"On the question of the reciprocal of Lyapunovs theorem on asymptotic stability","volume":"18","author":"malkin","year":"1954","journal-title":"Prikl Mat Meh"},{"key":"ref24","author":"nestruev","year":"2002","journal-title":"Smooth Manifolds and Observables"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.2307\/1969955"},{"key":"ref26","author":"praly","year":"2008","journal-title":"Fonctions de Lyapunov Stabilite? et Stabilisation"},{"key":"ref25","first-page":"29","article-title":"On the theory of stability of systems of differential equations","volume":"12","author":"persidskii","year":"1938","journal-title":"Izv FizMat Obschchestvo Kazan Univ"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/9483443\/09250496.pdf?arnumber=9250496","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:52:32Z","timestamp":1652194352000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9250496\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8]]},"references-count":32,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tac.2020.3036021","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":[[2021,8]]}}}