{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,27]],"date-time":"2026-08-27T23:16:21Z","timestamp":1787872581026,"version":"build-2784847793"},"reference-count":91,"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":[[2015,1]]},"abstract":"<jats:p>The exact controllability problem for several semilinear thin plate models is considered. A distributed control affects a collar of the plate's boundary. The result is semiglobal in the sense that there is no restriction on the size of the initial and the target states, but the controllability time is uniform only with respect to a given bounded set containing these states. Both (i) closed-loop-based and (ii) \u201cpure\u201d open-loop constructions are discussed. Strategy (i) describes exact controls for an abstract class of second-order evolution equations. It applies to the Berger plate with small in-plane stresses (and, depending on some open questions, possibly to the von K\u00e1rm\u00e1n model). This method partly relies on uniform stabilization and offers no apparent leeway to improve the controllability time. Strategy (ii) is demonstrated on the example of a Kirchhoff model with a dissipative polynomial source term. Such a source serves as a prototype for ultimately considering the same control construction for the Berger and von K\u00e1rm\u00e1n equations. The bound on the control time in this case is still open, but this method offers a conjectural possibility to sharpen the minimal control time estimate.<\/jats:p>","DOI":"10.1137\/130939705","type":"journal-article","created":{"date-parts":[[2015,8,13]],"date-time":"2015-08-13T14:18:28Z","timestamp":1439475508000},"page":"2480-2513","source":"Crossref","is-referenced-by-count":6,"title":["SemiGlobal Exact Controllability of Nonlinear Plates"],"prefix":"10.1137","volume":"53","author":[{"given":"Matthias","family":"Eller","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniel","family":"Toundykov","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,8,13]]},"reference":[{"key":"atypb1","unstructured":"R. A. Adams and J. J. F. 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