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First numerical tests are presented which show that the proposed approach is different from other methods in that it does not rely on a priori information about the switching structure.<\/jats:p>","DOI":"10.1137\/090753905","type":"journal-article","created":{"date-parts":[[2010,5,5]],"date-time":"2010-05-05T18:08:16Z","timestamp":1273082896000},"page":"3997-4013","source":"Crossref","is-referenced-by-count":28,"title":["Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs"],"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":[[2010,5,5]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"Ch. B\u00fcskens, H. J. Pesch, and S. Winderl,\n                      Real-time solutions for bang-bang and singular optimal control problems\n                      , in Online Optimization of Large Scale Systems, M. Gr\u00f6tschel et al., eds., Springer-Verlag, Berlin, 2001, pp. 129\u2013142.","DOI":"10.1007\/978-3-662-04331-8_9"},{"key":"R2","unstructured":"H. O. Fattorini,\n                      Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems,\n                      Elsevier, Amsterdam, 2005."},{"key":"R3","unstructured":"H. Hermes and J. LaSalle,\n                      Functional Analysis and Time Optimal Control\n                      , Academic Press, New York, 1969."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/080737265"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623401383558"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902411015"},{"key":"R7","doi-asserted-by":"crossref","unstructured":"K. Ito and K. 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Strauss,\n                      Introduction to Optimal Control Theory\n                      , Springer-Verlag, New York, 1982.","DOI":"10.1007\/978-1-4612-5671-7"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902402578"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582096"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.2514\/3.25412"},{"key":"R16","doi-asserted-by":"crossref","unstructured":"L. Xie and K. Kunisch,\n                      Numerical Methods for Time-Optimal Control Problems\n                      , SFB-Report, Department of Mathematics, University of Graz, Graz, Austria, presented at the 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 2005.","DOI":"10.2514\/6.2005-29"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090753905","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:32:58Z","timestamp":1787319178000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090753905"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":16,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/090753905"],"URL":"https:\/\/doi.org\/10.1137\/090753905","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}