{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:42:38Z","timestamp":1787319758256,"version":"build-2736575974"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>We consider coupled systems consisting of an infinite-dimensional part and a finite-dimensional part connected in feedback, such as, for example, the well-known SCOLE system (a beam with a rigid body attached at one end). The external world interacts with the coupled system via the finite-dimensional part, which receives the external input and sends out the output. The infinite-dimensional part is assumed to be such that it becomes well-posed and strictly proper when connected in cascade with an integrator. Under several assumptions, we derive well-posedness and exact controllability results for such coupled systems. The first main result concerns the case when the input signal of the finite-dimensional part is the difference between the external input and the feedback signal. The second main result allows a more general structure for the finite-dimensional part. We also prove a result for the approximate controllability of coupled systems.<\/jats:p>","DOI":"10.1137\/090752833","type":"journal-article","created":{"date-parts":[[2009,9,18]],"date-time":"2009-09-18T18:20:03Z","timestamp":1253298003000},"page":"2719-2750","source":"Crossref","is-referenced-by-count":22,"title":["Well-Posedness and Controllability of a Class of Coupled Linear Systems"],"prefix":"10.1137","volume":"48","author":[{"given":"George","family":"Weiss","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaowei","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,9,18]]},"reference":[{"key":"R1","unstructured":"R. F. Curtain and G. Weiss,\n                      Well-posedness of triples of operators (in the sense of linear systems theory)\n                      , in Control and Estimation of Distributed Parameter Systems, F. Kappel, K. Kunisch, and W. Schappacher, eds., Birkh\u00e4user Verlag, Basel, 1989, pp. 41\u201359."},{"key":"R2","doi-asserted-by":"crossref","unstructured":"R. D\u00e1ger and E. Zuazua,\n                      Wave Propagation, Observation and Control in 1-d Flexible Multi-structures\n                      , Springer-Verlag, Berlin, 2006.","DOI":"10.1007\/3-540-37726-3"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016039819069"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-005-6394-3"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"I. Lasiecka,\n                      Mathematical Control Theory of Coupled PDEs\n                      , CBMS-NSF Regional Conf. Ser. in Appl. 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Pasumarthy,\n                      On Analysis and Control of Interconnected Finite- and Infinite-Dimensional Physical Systems\n                      , Ph.D. dissertation, University of Twente, Enschede, The Netherlands, 2006."},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2001107"},{"key":"R13","first-page":"383","volume":"300","author":"Salamon D.","year":"1987","journal-title":"Trans. Amer. Math. Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9947","issn-type":"print"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1007\/s004980200012"},{"key":"R15","doi-asserted-by":"crossref","unstructured":"O. J. Staffans,\n                      Well-Posed Linear Systems\n                      , Encyclopedia Math. Appl. 103, Cambridge University Press, Cambridge, UK, 2005.","DOI":"10.1017\/CBO9780511543197"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-02-02976-8"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1007\/s00020-002-1214-8"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012999352716"},{"key":"R19","doi-asserted-by":"crossref","unstructured":"M. Tucsnak and G. Weiss,\n                      Observation and Control for Operator Semigroups\n                      , Birkh\u00e4user Verlag, Basel, 2009.","DOI":"10.1007\/978-3-7643-8994-9"},{"key":"R20","unstructured":"J. A. Villegas,\n                      A Port-Hamiltonian Approach to Distributed Parameter Systems\n                      , Ph.D. dissertation, University of Twente, Enschede, The Netherlands, 2007."},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1994-1179402-6"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211484"},{"key":"R23","first-page":"7","volume":"11","author":"Weiss G.","year":"2001","journal-title":"Int. J. Appl. Math. Comput. Sci.","ISSN":"https:\/\/id.crossref.org\/issn\/0867-857X","issn-type":"print"},{"key":"R24","doi-asserted-by":"crossref","unstructured":"X. Zhao and G. Weiss,\n                      Strong stabilization of a non-uniform SCOLE model\n                      , in Proceedings of the 17th IFAC World Congress, Seoul, Korea, 2008.","DOI":"10.3182\/20080706-5-KR-1001.01481"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090752833","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:52:27Z","timestamp":1787316747000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090752833"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1137\/090752833"],"URL":"https:\/\/doi.org\/10.1137\/090752833","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}