{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T06:18:21Z","timestamp":1770358701776,"version":"3.49.0"},"reference-count":34,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-Project IFSMACS (ANR 15-CE40.0010)"],"award-info":[{"award-number":["ANR-Project IFSMACS (ANR 15-CE40.0010)"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we consider control systems for which the underlying semigroup is analytic and the resolvent of its generator is compact. In that case we give a characterization of the stabilizability of such control systems. When the stabilizability condition is satisfied, the system is also stabilizable by finite dimensional controls.\nWe end the paper by giving an application of this result to the stabilizability of the Oseen equations with mixed boundary conditions.<\/jats:p>","DOI":"10.1515\/cmam-2019-0026","type":"journal-article","created":{"date-parts":[[2019,3,31]],"date-time":"2019-03-31T12:04:02Z","timestamp":1554033842000},"page":"267-282","source":"Crossref","is-referenced-by-count":6,"title":["Stabilizability of Infinite Dimensional Systems by Finite Dimensional Control"],"prefix":"10.1515","volume":"19","author":[{"given":"Jean-Pierre","family":"Raymond","sequence":"first","affiliation":[{"name":"IMT , UMR 5219 , Universit\u00e9 Paul Sabatier Toulouse III and CNRS , 31062 Toulouse Cedex , France"}]}],"member":"374","published-online":{"date-parts":[[2019,3,21]]},"reference":[{"key":"2023033110021956446_j_cmam-2019-0026_ref_001_w2aab3b7e3450b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"C.  Airiau, J.-M.  Buchot, R. K.  Dubey, M.  Fourni\u00e9, J.-P.  Raymond and J.  Weller-Calvo,\nStabilization and best actuator location for the Navier\u2013Stokes equations,\nSIAM J. Sci. Comput. 39 (2017), no. 5, B993\u2013B1020.","DOI":"10.1137\/16M107503X"},{"key":"2023033110021956446_j_cmam-2019-0026_ref_002_w2aab3b7e3450b1b6b1ab2ab2Aa","unstructured":"H.  Amann,\nFeedback stabilization of linear and semilinear parabolic systems,\nSemigroup Theory and Applications (Trieste 1987),\nLecture Notes Pure Appl. Math. 116,\nDekker, New York, (1989), 21\u201357."},{"key":"2023033110021956446_j_cmam-2019-0026_ref_003_w2aab3b7e3450b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"L.  Amodei and J.-M.  Buchot,\nA stabilization algorithm of the Navier\u2013Stokes equations based on algebraic Bernoulli equation,\nNumer. 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Application to Navier\u2013Stokes and Boussinesq\nequations with Neumann or Dirichlet control,\nDiscrete Contin. Dyn. Syst. 32 (2012), no. 4, 1169\u20131208.","DOI":"10.3934\/dcds.2012.32.1169"},{"key":"2023033110021956446_j_cmam-2019-0026_ref_007_w2aab3b7e3450b1b6b1ab2ab7Aa","doi-asserted-by":"crossref","unstructured":"M.  Badra and T.  Takahashi,\nStabilization of parabolic nonlinear systems with finite dimensional feedback or dynamical controllers: application to the Navier\u2013Stokes system,\nSIAM J. Control Optim. 49 (2011), no. 2, 420\u2013463.","DOI":"10.1137\/090778146"},{"key":"2023033110021956446_j_cmam-2019-0026_ref_008_w2aab3b7e3450b1b6b1ab2ab8Aa","doi-asserted-by":"crossref","unstructured":"M.  Badra and T.  Takahashi,\nOn the Fattorini criterion for approximate controllability and stabilizability of parabolic systems,\nESAIM Control Optim. Calc. 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