{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:14:51Z","timestamp":1753884891454,"version":"3.41.2"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61573330"],"award-info":[{"award-number":["61573330"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"the National Natural Science Foundation of International Cooperation and Exchanges Project in China","award":["61720106009"],"award-info":[{"award-number":["61720106009"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p>In this paper, a nonlinear optimal feedback control based on the nonlinear state estimator for a two-level open non-Markovian stochastic quantum system is proposed. The proposed nonlinear state estimator is designed by using the state-dependent differential Riccati equation and constructed to optimally estimate the state. The estimated state is updated by the output data of continuous weak measurement of the controlled quantum system and used to design the nonlinear state feedback controller to track the output of the reference model. The output state of reference model is chosen as the desired performance. The numerical simulation results verify the achievability of the proposed state feedback control strategy, and the capability to steer the state of system from any arbitrary initial state to the final reference target state with high state transfer success rate.<\/jats:p>","DOI":"10.1142\/s123016122150013x","type":"journal-article","created":{"date-parts":[[2022,5,13]],"date-time":"2022-05-13T07:12:14Z","timestamp":1652425934000},"source":"Crossref","is-referenced-by-count":1,"title":["Nonlinear Optimal Feedback Control of the Two-Level Open Non-Markovian Stochastic Quantum System"],"prefix":"10.1142","volume":"28","author":[{"given":"Shahid","family":"Qamar","sequence":"first","affiliation":[{"name":"Department of Automation, University of Science and Technology of China, Hefei, China"},{"name":"Division of Quantum Computation and Communication, Beijing Academy of Quantum Information Sciences, Beijing, China"}]},{"given":"Shuang","family":"Cong","sequence":"additional","affiliation":[{"name":"Department of Automation, University of Science and Technology of China, Hefei, China"}]},{"given":"Kezhi","family":"Li","sequence":"additional","affiliation":[{"name":"Institute of Health information, University College London, London, NW12DA, UK"}]},{"given":"Zhixiang","family":"Dong","sequence":"additional","affiliation":[{"name":"Department of Automation, University of Science and Technology of China, Hefei, China"}]},{"given":"Feng","family":"Shuang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Guangxi University, Nanning, China"}]}],"member":"219","published-online":{"date-parts":[[2022,5,10]]},"reference":[{"key":"S123016122150013XBIB001","doi-asserted-by":"publisher","DOI":"10.1038\/nature10376"},{"key":"S123016122150013XBIB002","doi-asserted-by":"publisher","DOI":"10.1201\/9781584888833"},{"key":"S123016122150013XBIB003","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.71.235407"},{"volume-title":"The theory of open quantum systems","year":"2002","author":"Breuer H.-P.","key":"S123016122150013XBIB004"},{"key":"S123016122150013XBIB005","volume-title":"Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics","volume":"56","author":"Gardiner C.","year":"2004"},{"key":"S123016122150013XBIB006","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.210401"},{"key":"S123016122150013XBIB007","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/77\/9\/094001"},{"key":"S123016122150013XBIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.042103"},{"key":"S123016122150013XBIB010","doi-asserted-by":"publisher","DOI":"10.1038\/srep12430"},{"key":"S123016122150013XBIB011","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.062327"},{"key":"S123016122150013XBIB012","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.052106"},{"key":"S123016122150013XBIB013","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-1029(13)60035-X"},{"key":"S123016122150013XBIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.177602"},{"key":"S123016122150013XBIB015","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.81.085315"},{"key":"S123016122150013XBIB016","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.79.043804"},{"key":"S123016122150013XBIB017","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/11\/10\/105034"},{"key":"S123016122150013XBIB018","doi-asserted-by":"publisher","DOI":"10.1021\/jp0472461"},{"key":"S123016122150013XBIB019","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012237472-2\/50002-X"},{"key":"S123016122150013XBIB020","doi-asserted-by":"crossref","unstructured":"Z. Miao, M. R. James, and V. A. Ugrinovskii, 54-th IEEE Conference on Decision and Control (CDC), IEEE, 2015, pp. 5784\u20135789.","DOI":"10.1109\/CDC.2015.7403128"},{"key":"S123016122150013XBIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.04.018"},{"key":"S123016122150013XBIB023","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.60.2700"},{"key":"S123016122150013XBIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.05.021"},{"key":"S123016122150013XBIB025","doi-asserted-by":"publisher","DOI":"10.1109\/ICCIS.2017.8274747"},{"key":"S123016122150013XBIB026","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2033841"},{"key":"S123016122150013XBIB027","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1977.1101634"},{"key":"S123016122150013XBIB028","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2014.6858589"},{"key":"S123016122150013XBIB029","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3222"},{"key":"S123016122150013XBIB030","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.75.062119"},{"key":"S123016122150013XBIB031","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.86.052320"},{"key":"S123016122150013XBIB032","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.032117"},{"key":"S123016122150013XBIB033","doi-asserted-by":"publisher","DOI":"10.1137\/060651239"},{"key":"S123016122150013XBIB034","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2224252"},{"key":"S123016122150013XBIB035","unstructured":"L. A. D. Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii, and M. R. James, IEEE 51st IEEE Conference on Decision and Control (CDC), IEEE, 2012, pp. 3019\u20133023."},{"key":"S123016122150013XBIB036","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1055"},{"key":"S123016122150013XBIB037","doi-asserted-by":"publisher","DOI":"10.1016\/S1665-6423(14)71630-X"},{"key":"S123016122150013XBIB039","first-page":"197","volume":"33","author":"Churr H. M.","year":"1985","journal-title":"J. Astronautical Sciences"},{"volume-title":"Lyapunov matrix equation in system stability and control","year":"2008","author":"Gajic Z.","key":"S123016122150013XBIB040"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S123016122150013X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T17:35:35Z","timestamp":1727199335000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S123016122150013X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9]]},"references-count":37,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S123016122150013X"],"URL":"https:\/\/doi.org\/10.1142\/s123016122150013x","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"type":"print","value":"1230-1612"},{"type":"electronic","value":"1793-7191"}],"subject":[],"published":{"date-parts":[[2021,9]]},"article-number":"2150013"}}