{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:49:01Z","timestamp":1787320141548,"version":"build-2736575974"},"reference-count":10,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>Let $G=B\\rtimes V$ be an affine group given by a semidirect product of connected Lie group B and vector space V, where B has a transitive representation on V. We study semigroups of G with nonempty interior. As an application, we obtain a characterization of controllability of bilinear systems in the case of $\\mathrm{Sl}(2,\\mathbb{R})\\rtimes\\mathbb{R}^{2}$.<\/jats:p>","DOI":"10.1137\/080716736","type":"journal-article","created":{"date-parts":[[2009,3,6]],"date-time":"2009-03-06T18:13:14Z","timestamp":1236363194000},"page":"1080-1088","source":"Crossref","is-referenced-by-count":4,"title":["Semigroups of Affine Groups, Controllability of Affine Systems and Affine Bilinear Systems in $\\mathrm{Sl}(2,\\mathbb{R})\\rtimes\\mathbb{R}^{2}$"],"prefix":"10.1137","volume":"48","author":[{"given":"Osvaldo G. do","family":"Rocio","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexandre J.","family":"Santana","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marcos A.","family":"Verdi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,3,6]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1982-0654849-4"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(75)90045-5"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0317016"},{"key":"R4","doi-asserted-by":"crossref","first-page":"111","DOI":"10.22199\/S07160917.1996.0002.00002","volume":"15","author":"Barros C. J. Braga","year":"1996","journal-title":"Proyecciones"},{"key":"R5","unstructured":"J. Hilgert, K. Hofmann, and J. Lawson,\n                      Lie Groups, Convex Cones and Semigroups\n                      , Oxford University Press, London, 1989."},{"key":"R6","unstructured":"V. Jurdjevic and G. Sallet,\n                      Controllability of affine systems\n                      , Differential Geometric Control Theory, R. Brockett, R. Millman and H. Sussman, eds., Birkauser, Boston, 1982, pp. 299\u2013309."},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/0322030"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1515\/crll.2003.085"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01213469"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/s002339900004"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/080716736","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:54:50Z","timestamp":1787316890000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/080716736"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1137\/080716736"],"URL":"https:\/\/doi.org\/10.1137\/080716736","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}