{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T08:21:16Z","timestamp":1770452476784,"version":"3.49.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,3,22]],"date-time":"2019-03-22T00:00:00Z","timestamp":1553212800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Gruppo Nazionale di Calcolo Scientifico","award":["Metodi numerici per problemi di controllo multiscala e applicazioni"],"award-info":[{"award-number":["Metodi numerici per problemi di controllo multiscala e applicazioni"]}]},{"DOI":"10.13039\/501100003191","name":"Conseil R\u00e9gional de Haute Normandie","doi-asserted-by":"publisher","award":["M2NUM"],"award-info":[{"award-number":["M2NUM"]}],"id":[{"id":"10.13039\/501100003191","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1007\/s10957-019-01506-x","type":"journal-article","created":{"date-parts":[[2019,3,22]],"date-time":"2019-03-22T11:03:06Z","timestamp":1553252586000},"page":"1015-1032","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Optimal Route Planning for Sailing Boats: A Hybrid Formulation"],"prefix":"10.1007","volume":"181","author":[{"given":"Roberto","family":"Ferretti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5332-957X","authenticated-orcid":false,"given":"Adriano","family":"Festa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,3,22]]},"reference":[{"key":"1506_CR1","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.apenergy.2012.10.064","volume":"104","author":"R Z\u00e1rate-Mi\u00f1ano","year":"2013","unstructured":"Z\u00e1rate-Mi\u00f1ano, R., Anghel, M., Milano, F.: Continuous wind speed models based on stochastic differential equations. Appl. Energy 104, 42\u201349 (2013)","journal-title":"Appl. Energy"},{"key":"1506_CR2","doi-asserted-by":"crossref","unstructured":"Philpott, A., Mason, A.: Optimising yacht routes under uncertainty. In: The 15th Cheasapeake Sailing Yacht Symposium, Annapolis, USA (2001)","DOI":"10.5957\/CSYS-2001-009"},{"key":"1506_CR3","doi-asserted-by":"crossref","unstructured":"Philpott, A.: Stochastic optimization in yacht racing. In: Ziemba, W., Wallace, S. (eds.) Applications of Stochastic Programming, pp. 315\u2013336. SIAM (2005)","DOI":"10.1137\/1.9780898718799.ch17"},{"key":"1506_CR4","unstructured":"Dumas, F.: Stochastic optimization of sailing trajectories in an America\u2019s Cup race. Ph.D. Thesis, EPFL Lausanne (2010)"},{"key":"1506_CR5","doi-asserted-by":"publisher","first-page":"807","DOI":"10.1057\/jors.2014.40","volume":"66","author":"R Dalang","year":"2015","unstructured":"Dalang, R., Dumas, F., Sardy, S., Morgenthaler, S., Juan Vila, J.: Stochastic optimization of sailing trajectories in an upwind regatta. J. Oper. Res. Soc. 66, 807\u2013821 (2015)","journal-title":"J. Oper. Res. Soc."},{"key":"1506_CR6","unstructured":"Vinckenbosch, L.: Stochastic control and free boundary problems for sailboat trajectory optimization. Ph.D. Thesis, EPFL Lausanne (2012)"},{"key":"1506_CR7","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/j.oceaneng.2014.07.020","volume":"90","author":"F Tagliaferri","year":"2014","unstructured":"Tagliaferri, F., Philpott, A., Viola, I.M., Flay, R.G.J.: On risk attitude and optimal yacht racing tactics. Ocean Eng. 90, 149\u2013154 (2014)","journal-title":"Ocean Eng."},{"key":"1506_CR8","unstructured":"Tagliaferri, F.: Dynamic yacht strategy optimisation. Ph.D. Thesis, University of Edimburgh (2015)"},{"key":"1506_CR9","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1109\/9.654885","volume":"43","author":"MS Branicky","year":"1998","unstructured":"Branicky, M.S., Borkar, V.S., Mitter, S.K.: A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Autom. Control 43, 31\u201345 (1998)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1506_CR10","doi-asserted-by":"publisher","first-page":"1259","DOI":"10.1137\/040618072","volume":"44","author":"S Dharmatti","year":"2005","unstructured":"Dharmatti, S., Ramaswamy, M.: Hybrid control systems and viscosity solutions. SIAM J. Control Optim. 44, 1259\u20131288 (2005)","journal-title":"SIAM J. Control Optim."},{"key":"1506_CR11","first-page":"395","volume":"3","author":"A Bensoussan","year":"1997","unstructured":"Bensoussan, A., Menaldi, J.L.: Hybrid control and dynamic programming. Dyn. Contin. Discrete Impuls. Syst. 3, 395\u2013442 (1997)","journal-title":"Dyn. Contin. Discrete Impuls. Syst."},{"key":"1506_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4755-1","volume-title":"Optimal Control and Viscosity Solution of Hamilton\u2013Jacobi\u2013Bellman Equations","author":"M Bardi","year":"1997","unstructured":"Bardi, M., Capuzzo-Dolcetta, I.: Optimal Control and Viscosity Solution of Hamilton\u2013Jacobi\u2013Bellman Equations. Birkhauser, Boston (1997)"},{"key":"1506_CR13","doi-asserted-by":"crossref","first-page":"271","DOI":"10.3233\/ASY-1991-4305","volume":"4","author":"G Barles","year":"1991","unstructured":"Barles, G., Souganidis, P.E.: Convergence of approximation schemes for fully nonlinear second order equations. Asymptot. Anal. 4, 271\u2013283 (1991)","journal-title":"Asymptot. Anal."},{"key":"1506_CR14","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/s10957-014-0637-0","volume":"165","author":"R Ferretti","year":"2015","unstructured":"Ferretti, R., Zidani, H.: Monotone numerical schemes and feedback construction for hybrid control systems. J. Optim. Theory Appl. 165, 507\u2013531 (2015)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"1506_CR15","doi-asserted-by":"publisher","first-page":"965","DOI":"10.1051\/cocv\/2017022","volume":"24","author":"R Ferretti","year":"2018","unstructured":"Ferretti, R., Sassi, A.: A semi-Lagrangian algorithm in policy space for hybrid optimal control problems. Esaim Control Optim. Calc. 24(3), 965\u2013983 (2018)","journal-title":"Esaim Control Optim. Calc."},{"key":"1506_CR16","unstructured":"Shen, Z, Vladimirsky, A.: Piecewise-deterministic optimal path-planning (2015). arXiv:1512.08734v1"},{"key":"1506_CR17","doi-asserted-by":"publisher","first-page":"139","DOI":"10.12785\/amis\/080117","volume":"8","author":"R Ferretti","year":"2014","unstructured":"Ferretti, R.: Choosing between two fluctuating options: a hybrid control approach. Appl. Math. Sci. 8, 139\u2013146 (2014)","journal-title":"Appl. Math. Sci."},{"key":"1506_CR18","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973051","volume-title":"Semi-Lagrangian Approximation Schemes for Linear and Hamilton\u2013Jacobi Equations","author":"M Falcone","year":"2013","unstructured":"Falcone, M., Ferretti, R.: Semi-Lagrangian Approximation Schemes for Linear and Hamilton\u2013Jacobi Equations. SIAM, Philadelphia (2013)"},{"key":"1506_CR19","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1051\/m2an\/1995290100971","volume":"29","author":"F Camilli","year":"1995","unstructured":"Camilli, F., Falcone, M.: An approximation scheme for the optimal control of diffusion processes. Esaim Math. Model. Numer. Anal. 29, 97\u2013122 (1995)","journal-title":"Esaim Math. Model. Numer. Anal."},{"issue":"5","key":"1506_CR20","doi-asserted-by":"publisher","first-page":"2625","DOI":"10.1137\/110841576","volume":"34","author":"S Cacace","year":"2012","unstructured":"Cacace, S., Cristiani, E., Falcone, M., Picarelli, A.: A patchy dynamic programming scheme for a class of Hamilton\u2013Jacobi\u2013Bellman equations. SIAM J. Sci. Comput. 34(5), 2625\u20132649 (2012)","journal-title":"SIAM J. Sci. Comput."},{"issue":"4","key":"1506_CR21","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1051\/m2an\/2015070","volume":"50","author":"A Festa","year":"2016","unstructured":"Festa, A.: Reconstuction of independent sub-domains for a class of Hamilton Jacobi equations and application to parallel computing. Esaim Math. Model. Numer. Anal. 50(4), 1223\u20131240 (2016)","journal-title":"Esaim Math. Model. Numer. Anal."},{"key":"1506_CR22","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/j.matcom.2017.04.008","volume":"147","author":"A Festa","year":"2018","unstructured":"Festa, A.: A domain decomposition based parallel version of the Howard\u2019s algorithm. Math. Comput. Simul. 147, 121\u2013139 (2018)","journal-title":"Math. Comput. Simul."},{"key":"1506_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12616-5","volume-title":"Numerical Solution of Stochastic Differential Equations","author":"PE Kloeden","year":"1992","unstructured":"Kloeden, P.E., Platen, E.: Numerical Solution of Stochastic Differential Equations. Springer, Berlin (1992)"},{"key":"1506_CR24","volume-title":"Rya Tactics","author":"M Rushall","year":"2008","unstructured":"Rushall, M.: Rya Tactics. Royal Yachting Association, Southampton (2008)"},{"key":"1506_CR25","doi-asserted-by":"crossref","unstructured":"Cacace, S., Ferretti, R., Festa, A. : Stochastic hybrid differential games and their application to a match race problem. ArXiv (2019)","DOI":"10.1016\/j.amc.2019.124966"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01506-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-019-01506-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01506-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,14]],"date-time":"2022-09-14T05:24:58Z","timestamp":1663133098000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-019-01506-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,22]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["1506"],"URL":"https:\/\/doi.org\/10.1007\/s10957-019-01506-x","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,22]]},"assertion":[{"value":"3 August 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 March 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 March 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}