{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T05:06:44Z","timestamp":1780376804703,"version":"3.54.1"},"reference-count":31,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/23m160133x","type":"journal-article","created":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T07:02:33Z","timestamp":1749538953000},"page":"3110-3145","source":"Crossref","is-referenced-by-count":2,"title":["Exponential Stability of Linear Periodic Difference-Delay Equations"],"prefix":"10.1137","volume":"57","author":[{"given":"Laurent","family":"Baratchart","sequence":"first","affiliation":[{"name":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, Sophia-Antipolis, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S\u00e9bastien","family":"Fueyo","sequence":"additional","affiliation":[{"name":"Corresponding author. At the time of writing this article, this author was affiliated with Inria, Universit\u00e9 C\u00f4te d\u2019Azur, Teams FACTAS and MCTAO, where he did his Ph.D. Current address: Universit\u00e9 Grenoble, Alpes, Inria, CNRS, Grenoble, INP, GIPSA-Lab, Grenoble, F-38000 France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9875-9845","authenticated-orcid":true,"given":"Jean-Baptiste","family":"Pomet","sequence":"additional","affiliation":[{"name":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, CNRS, LJAD, Sophia-Antipolis, France."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,6,10]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.04.053"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/19M1301795"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2022.11.362"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1216\/jie.2024.36.407"},{"key":"ref5","first-page":"14","volume":"38","author":"Baskakov A. G.","year":"1997","journal-title":"Sibirsk. Mat. Zh."},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-32062-5"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1959-0107742-7"},{"key":"ref8","volume-title":"Almost Periodic Functions","author":"Besicovitch A. S.","year":"1955"},{"key":"ref9","first-page":"81","volume":"26","author":"Brown A.","year":"1965","journal-title":"Acta Sci. Math. (Szeged)"},{"key":"ref10","first-page":"15","volume":"30","author":"Buse C.","year":"2001","journal-title":"New Zealand J. Math."},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.3934\/nhm.2016010"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/140976625"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(70)90114-2"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/B978-1-4831-9762-3.50004-4"},{"key":"ref15","volume-title":"Elements of System Theory","author":"Faurre P.","year":"1976"},{"key":"ref17","volume-title":"Bounded Analytic Functions","author":"Garnett J. B.","year":"2007","edition":"2"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2017.1384574"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1002\/mana.201200312"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9892-2"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4342-7"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(74)90089-8"},{"key":"ref23","volume-title":"Banach Spaces of Analytic Functions","author":"Hoffman K.","year":"1988"},{"key":"ref24","first-page":"61","volume":"52","author":"Krishtal I. A.","year":"2011","journal-title":"Rev. Un. Mat. Argentina"},{"key":"ref25","volume-title":"An Introduction to the Theory of Real Functions","author":"\u0141ojasiewicz S.","year":"1988"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s10013-014-0082-2"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1743"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/19.1_and_2.157"},{"key":"ref30","volume-title":"Real and Complex Analysis","author":"Rudin W.","year":"1986"},{"key":"ref31","volume-title":"Functional Analysis","author":"Rudin W.","year":"1991"},{"key":"ref32","volume-title":"Analysis and Design of Autonomous Microwave Circuits","author":"Su\u00e1rez A.","year":"2009"},{"key":"ref34","volume-title":"Trigonometric Series","volume":"1","author":"Zygmund A.","year":"2002"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T07:02:37Z","timestamp":1749538957000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M160133X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,10]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/23M160133X"],"URL":"https:\/\/doi.org\/10.1137\/23m160133x","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,10]]}}}