{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T04:09:21Z","timestamp":1772510961350,"version":"3.50.1"},"reference-count":28,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2010,11,1]],"date-time":"2010-11-01T00:00:00Z","timestamp":1288569600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2010,11]]},"DOI":"10.1109\/tac.2010.2047742","type":"journal-article","created":{"date-parts":[[2010,4,9]],"date-time":"2010-04-09T12:51:37Z","timestamp":1270817497000},"page":"2488-2499","source":"Crossref","is-referenced-by-count":70,"title":["Smooth Regularization of Bang-Bang Optimal Control Problems"],"prefix":"10.1109","volume":"55","author":[{"given":"Cristiana","family":"Silva","sequence":"first","affiliation":[]},{"given":"Emmanuel","family":"Trelat","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1137\/0325071","article-title":"the relationship between the maximum principle and dynamic programming","volume":"25","author":"clarke","year":"1987","journal-title":"SIAM J Control Optim"},{"key":"ref11","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0043612","author":"dontchev","year":"1983","journal-title":"Lecture Notes Control Information Sciences"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/0317026"},{"key":"ref13","first-page":"3281","article-title":"Sensitivity analysis of optimal control problems with bang-bang controls","author":"kim","year":"2003","journal-title":"Proc 42nd IEEE Conf Decision Control"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01449030"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-007-9188-3"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/oca.794"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442559"},{"key":"ref18","author":"maurer","year":"1997","journal-title":"Parametric Optimization and Related Topics IV 1555"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902402578"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1023\/A:1009552511132","article-title":"Some properties of the value function and its level sets for affine control systems with quadratic cost","volume":"6","author":"trlat","year":"2000","journal-title":"J Dyn Cont Systems"},{"key":"ref4","author":"cannarsa","year":"2004","journal-title":"Semiconcave Functions Hamilton-Jacobi Equations and Optimal Control Progress in Nonlinear Differential Equations and Their Applications 58"},{"key":"ref27","author":"stoer","year":"1983","journal-title":"Introduction to Numerical Analysis"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2007012"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-96-01577-2"},{"key":"ref5","author":"cesari","year":"1983","journal-title":"OptimizationTheory and Applications Problems With Ordinary Differential Equations Applications of Mathematics 17"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"45","DOI":"10.4310\/jdg\/1146680512","article-title":"Genericity results for singular curves","volume":"73","author":"chitour","year":"2006","journal-title":"J Differential Geom"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/S1631-073X(03)00252-8"},{"key":"ref2","author":"aubin","year":"1990","journal-title":"Set-Valued Analysis"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/060663003"},{"key":"ref1","author":"agrachev","year":"2004","journal-title":"Control Theory From the Geometric Viewpoint Encyclopaedia of Mathematical Sciences 87 Control Theory and Optimization II"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/BF02192081"},{"key":"ref22","author":"pontryagin","year":"1962","journal-title":"The Mathematical Theory of Optimal Processes"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-04802-9_4"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/148"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-004-0622-2"},{"key":"ref26","first-page":"270","author":"stefani","year":"1991","journal-title":"Progress Syst Control Theory"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(88)90018-7"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/9\/5617351\/05445043.pdf?arnumber=5445043","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T00:44:11Z","timestamp":1633913051000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5445043\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11]]},"references-count":28,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tac.2010.2047742","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11]]}}}