{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,13]],"date-time":"2025-11-13T18:32:05Z","timestamp":1763058725017},"reference-count":35,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2022,5,15]],"date-time":"2022-05-15T00:00:00Z","timestamp":1652572800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,24]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper addresses the topic of output feedback stabilization of general one-dimensional reaction\u2013diffusion partial differential equations (PDEs) in the presence of a saturation in the measurement. The boundary control and the second boundary condition take the form of Dirichlet\/Neumann\/Robin boundary conditions. The measurement is selected as a boundary Dirichlet trace. The boundary measurement, as available for feedback control, is assumed to be subject to a saturation. In this context, we achieve the local exponential stabilization of the reaction\u2013diffusion PDE while estimating a subset of the domain of attraction of the origin.<\/jats:p>","DOI":"10.1093\/imamci\/dnac008","type":"journal-article","created":{"date-parts":[[2022,4,14]],"date-time":"2022-04-14T11:12:32Z","timestamp":1649934752000},"page":"789-805","source":"Crossref","is-referenced-by-count":5,"title":["Local output feedback stabilization of reaction\u2013diffusion PDEs with saturated measurement"],"prefix":"10.1093","volume":"39","author":[{"given":"Hugo","family":"Lhachemi","sequence":"first","affiliation":[{"name":"Universit\u00e9 Paris-Saclay , CNRS, CentraleSup\u00e9lec, Laboratoire des signaux et syst\u00e8mes, F-91190 Gif-sur-Yvette, France"}]},{"given":"Christophe","family":"Prieur","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Grenoble Alpes , CNRS, Grenoble-INP, GIPSA-lab, F-38000 Grenoble, France"}]}],"member":"286","published-online":{"date-parts":[[2022,5,15]]},"reference":[{"issue":"2","key":"2022062413514055300_ref1","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/0022-247X(88)90401-5","article-title":"Finite-dimensional controllers for linear distributed parameter systems: exponential stability using residual mode filters","volume":"133","author":"Balas","year":"1988","journal-title":"J. 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