{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T17:40:43Z","timestamp":1772300443165,"version":"3.50.1"},"reference-count":75,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"JSPS KAKENHI","award":["JP26289128"],"award-info":[{"award-number":["JP26289128"]}]},{"name":"Nanzan University Pache Research Subsidy I-A-2 for the 2018 academic year"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Contr. Syst. Technol."],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1109\/tcst.2018.2865762","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T18:35:51Z","timestamp":1537295751000},"page":"2374-2387","source":"Crossref","is-referenced-by-count":22,"title":["Nonlinear Optimal Control for Swing Up and Stabilization of the Acrobot via Stable Manifold Approach: Theory and Experiment"],"prefix":"10.1109","volume":"27","author":[{"given":"Takamasa","family":"Horibe","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4684-0297","authenticated-orcid":false,"given":"Noboru","family":"Sakamoto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.919562"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1109\/TME.1964.4323124"},{"key":"ref71","first-page":"1228","article-title":"A nonlinear observer via system variables dependent Sylvester equation approach with applications","author":"ueno","year":"2014","journal-title":"Proc Int Symp Math Theory Netw Syst"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1002\/oca.2020"},{"key":"ref74","author":"horibe","year":"2017","journal-title":"Nonlinear Optimal Control For Swing-Up And Stabilization of the Acrobot Via Stable Manifold Method"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7040309"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/ICIT.2005.1600789"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2017.2670524"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1088"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5717669"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2009.5400729"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/9.983365"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.3182\/20110828-6-IT-1002.01504"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.11.032"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2006113"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/70.782028"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2063-1"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405012533"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8159-4"},{"key":"ref63","doi-asserted-by":"crossref","DOI":"10.1201\/9781482227871","author":"robinson","year":"1998","journal-title":"Dynamical Systems Stability Symbolic Dynamics and Chaos"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.3182\/20071017-3-BR-2923.00071"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012999362803"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.847057"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(91)90022-7"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/9.256331"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2000.876991"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-49992-5"},{"key":"ref68","first-page":"369","article-title":"On Lagrange manifolds and viscosity solutions","volume":"18","author":"day","year":"1998","journal-title":"J Math Syst Estimation Control"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-006-9051-0"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/9.788533"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2012.0505"},{"key":"ref20","first-page":"4054","article-title":"Control design along trajectories via sum of squares optimization","author":"majumdar","year":"2013","journal-title":"Proc IEEE Int Conf Robot Automat"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007953809856"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.9746\/jcmsi.2.317"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(97)00070-8"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(96)00148-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/IROS.2001.977215"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/41.281605"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004607114958"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/9.273337"},{"key":"ref59","author":"aliyu","year":"2011","journal-title":"Nonlinear $\\mathscr H _ \\infty $ Control Hamiltonian Systems and Hamilton-Jacobi Equations"},{"key":"ref58","author":"abraham","year":"1979","journal-title":"Foundations of Mechanics"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2016.10.194"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2097130"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-73570-0_20"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1239(19980415\/30)8:4\/5<401::AID-RNC361>3.0.CO;2-U"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827598344315"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1137\/0307007"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.2514\/1.G001446"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.2514\/1.54075"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.3182\/20130619-3-RU-3018.00165"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-615-5"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/37.341864"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2011.2159220"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1109\/TSMCB.2008.2005910","article-title":"Comprehensive unified control strategy for underactuated two-link manipulators","volume":"39","author":"lai","year":"2009","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1080\/00207170500056835"},{"key":"ref17","first-page":"745","article-title":"Stability analysis and control law design for acrobots","author":"lai","year":"2006","journal-title":"Proc IEEE Int Conf Robot Automat"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.robot.2008.04.006"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.10.007"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/70.86082"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(92)90029-F"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2009.07.005"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1177\/027836499601500102"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-6251-3"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.07.011"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(97)00128-3"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/70.720345"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(03)00025-6"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8928(61)90005-3"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1080\/002071798221542","article-title":"Successive Galerkin approximation algorithms for nonlinear optimal and robust control","volume":"71","author":"beard","year":"1998","journal-title":"Int J Control"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(03)00080-3"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2017.2717932"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7799016"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-013-0403-8"},{"key":"ref43","first-page":"376","article-title":"Optimal controller designs satisfying state constraints","author":"umeda","year":"2011","journal-title":"Proc SICE Annu Conf"}],"container-title":["IEEE Transactions on Control Systems Technology"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/87\/8863553\/08467372.pdf?arnumber=8467372","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T21:33:12Z","timestamp":1662067992000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8467372\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11]]},"references-count":75,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tcst.2018.2865762","relation":{},"ISSN":["1063-6536","1558-0865","2374-0159"],"issn-type":[{"value":"1063-6536","type":"print"},{"value":"1558-0865","type":"electronic"},{"value":"2374-0159","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11]]}}}