{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T02:00:11Z","timestamp":1787364011073,"version":"build-2736575974"},"reference-count":19,"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>Control of quantum systems described by the Schr\u00f6dinger equation is considered. Feedback control laws are developed for orbit tracking via controlled Hamiltonians, and their asymptotic properties are analyzed. Numerical integration via time splitting is also investigated and used to demonstrate the feasibility of the proposed feedback laws.<\/jats:p>","DOI":"10.1137\/080720784","type":"journal-article","created":{"date-parts":[[2009,7,18]],"date-time":"2009-07-18T04:19:08Z","timestamp":1247890748000},"page":"2323-2343","source":"Crossref","is-referenced-by-count":3,"title":["Asymptotic Properties of Feedback Solutions for a Class of Quantum Control Problems"],"prefix":"10.1137","volume":"48","author":[{"given":"Kazufumi","family":"Ito","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Karl","family":"Kunisch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,7,17]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.908306"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"A. Z. Capri,\n                      Nonrelativistic Quantum Mechanics\n                      , 3rd ed., World Scientific, Singapore, 2002.","DOI":"10.1142\/4712"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"V. Barbu,\n                      Nonlinear Semigroups and Differential Equations in Banach Spaces\n                      , Noordhoff International Publishing, Leyden, 1976.","DOI":"10.1007\/978-94-010-1537-0"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0320042"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2006.10.024"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1063\/1.468998"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012993258732"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(87)90072-0"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01180426"},{"key":"R10","doi-asserted-by":"crossref","unstructured":"K. Ito and F. Kappel,\n                      Evolution Equations and Approximations\n                      , World Scientific, River Edge, NJ, 2002.","DOI":"10.1142\/4990"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/05064254X"},{"key":"R12","doi-asserted-by":"crossref","unstructured":"M. Mirrahimi,\n                      Lyapunov control of a particle in a finite quantum potential well\n                      , in Proceedings of the 45th IEEE Decision and Control Conference, San Diego, CA, 2006, pp. 3962\u20133967.","DOI":"10.1109\/CDC.2006.377356"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.05.018"},{"key":"R14","doi-asserted-by":"crossref","unstructured":"A. Pazy,\n                      Semigroups of Linear Operators and Applications to Partial Differential Equations\n                      , Springer-Verlag, Berlin, 1983.","DOI":"10.1007\/978-1-4612-5561-1"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1063\/1.1559680"},{"key":"R16","doi-asserted-by":"crossref","unstructured":"R. Temam,\n                      Infinite-Dimensional Dynamical Systems in Mechanics and Physics\n                      , Appl. Math. Sci. 68, Springer-Verlag, Heidelberg, 1988.","DOI":"10.1007\/978-1-4684-0313-8"},{"key":"R17","unstructured":"K. Yosida,\n                      Functional Analysis\n                      , Springer-Verlag, Berlin, 1980."},{"key":"R18","unstructured":"R. M. Young,\n                      An Introduction to Nonharmonic Fourier Series\n                      , Academic Press, New York, 1980."},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1063\/1.477857"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/080720784","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:51:31Z","timestamp":1787316691000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/080720784"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1137\/080720784"],"URL":"https:\/\/doi.org\/10.1137\/080720784","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}