{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T17:08:36Z","timestamp":1768324116235,"version":"3.49.0"},"reference-count":30,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2022,9,14]],"date-time":"2022-09-14T00:00:00Z","timestamp":1663113600000},"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":[[2022,12,6]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The problem of designing a positive Luenberger observer for a class of infinite-dimensional semilinear positive systems is addressed. The proposed observer is positive. That is, it ensures that the state estimates are non-negative at any time. The positive observer is designed based on positive bounded perturbation results. In particular it is shown that, under suitable conditions the state estimation error converges exponentially to zero. The results are illustrated by numerical simulations based on an exothermic Plug-Flow Tubular reactor model and show the effectiveness of the proposed positive observer.<\/jats:p>","DOI":"10.1093\/imamci\/dnac018","type":"journal-article","created":{"date-parts":[[2022,8,24]],"date-time":"2022-08-24T16:45:00Z","timestamp":1661359500000},"page":"968-984","source":"Crossref","is-referenced-by-count":4,"title":["Positive observers for semilinear positive systems"],"prefix":"10.1093","volume":"39","author":[{"given":"Abdellaziz","family":"Binid","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University , BP 20, El-Jadida 24000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed","family":"Elarbi Achhab","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University , BP 20, El-Jadida 24000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed","family":"Laabissi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University , BP 20, El-Jadida 24000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2022,9,14]]},"reference":[{"key":"2022120904132782300_ref1","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1109\/CDC.2010.5717896","volume-title":"49th IEEE Conference on Decision and Control","author":"Abouza\u00efd","year":"2010"},{"key":"2022120904132782300_ref2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ejcon.2021.07.006","article-title":"Locally positive stabilization of infinite-dimensional linear systems by state feedback","volume":"63","author":"Abouza\u00efd","year":"2022","journal-title":"Eur. 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