{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:25:34Z","timestamp":1762521934049},"reference-count":77,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2017,4,1]],"date-time":"2017-04-01T00:00:00Z","timestamp":1491004800000},"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":[[2017,4]]},"DOI":"10.1109\/tac.2016.2590598","type":"journal-article","created":{"date-parts":[[2016,7,12]],"date-time":"2016-07-12T20:35:27Z","timestamp":1468355727000},"page":"1620-1635","source":"Crossref","is-referenced-by-count":30,"title":["Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws"],"prefix":"10.1109","volume":"62","author":[{"given":"Sebastien","family":"Blandin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xavier","family":"Litrico","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria Laura","family":"Delle Monache","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benedetto","family":"Piccoli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexandre","family":"Bayen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.2007.56.2843"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.10.020"},{"key":"ref71","author":"serre","year":"1996","journal-title":"Systems of Conservation Laws"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202503002477"},{"key":"ref76","first-page":"1329","article-title":"Local exponential $h^{2}$ stabilization of a 2 $\\times$ 2 quasilinear hyperbolic system using backstepping","author":"vazquez","year":"0","journal-title":"CDC-ECC IEEE Conf"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1093\/amrx\/abq002"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1099"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/85"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1983-0716850-2"},{"key":"ref38","author":"garavello","year":"2006","journal-title":"Traffic Flow on Networks"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"1310","DOI":"10.1016\/j.automatica.2007.09.022","article-title":"Boundary control with integral action for hyperbolic systems of conservation laws: Stability and experiments","volume":"44","author":"dos","year":"2008","journal-title":"Automatica"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s00030-007-5010-7"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/060677884"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(03)00109-2"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1142\/S0219891610002219"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1080\/00207179508921959"},{"key":"ref35","author":"evans","year":"1998","journal-title":"Partial Differential Equations"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/S0098-1354(03)00174-1"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.09.022"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1080\/01630569708816752"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1978-0500495-7"},{"key":"ref63","first-page":"3","article-title":"Discontinuous solutions of non-linear differential equations","volume":"12","author":"oleinik","year":"1957","journal-title":"Uspekhi Matematicheskikh Nauk"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/090749268"},{"key":"ref64","first-page":"729","article-title":"Initial-boundary value problem for a scalar conservation law","volume":"322","author":"otto","year":"1996","journal-title":"Comptes rendus de l'Académie des sciences Série 1 Mathématique"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.887903"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1137\/110833129"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2012.12.003"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-04048-1"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1007\/s00498-012-0074-2"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/s00498-008-0028-x"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1287\/opre.4.1.42"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3274"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/PL00001406"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012901392529"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"35","DOI":"10.3934\/dcds.1997.3.35","article-title":"Shift-differentiabilitiy of the flow generated by a conservation law","volume":"3","author":"bressan","year":"1997","journal-title":"Discrete Continuous Dyn Syst"},{"key":"ref21","author":"bressan","year":"2000","journal-title":"Well-Posedness of the Cauchy Problem for $n\\times n$ Systems of Conservation Laws"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF00045296"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s002050050165"},{"key":"ref26","author":"christofides","year":"2001","journal-title":"Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021815100868"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718607"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1070\/SM1970v010n02ABEH002156"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9429(2004)130:8(806)"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1955.0089"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/S0968-090X(96)00024-1"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511791253"},{"key":"ref55","author":"lefloch","year":"2002","journal-title":"Hyperbolic Systems of Conservation Laws The theory of classical and nonclassical shock waves"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1002\/mma.1670100305"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/100803043"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160100406"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/060659569"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1080\/03605307908820117"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2014.04.013"},{"key":"ref12","first-page":"383","article-title":"Derivatives and control in the presence of shocks","volume":"11","author":"bardos","year":"2003","journal-title":"Comput Fluid Dynam J"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.3934\/nhm.2007.2.751"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2000.6.329"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2005.161.223"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-008-0177-6"},{"key":"ref17","first-page":"1705","article-title":"Boundary stabilization of the unviscid Burgers equation using a Lyapunov method","author":"blandin","year":"0","journal-title":"Proc 49th IEEE CDC"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/BF00392027"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198507000.001.0001","author":"bressan","year":"2000","journal-title":"Hyperbolic Systems of Conservation Laws The One-Dimensional Cauchy Problem"},{"key":"ref4","first-page":"602","article-title":"On stability of switched linear hyperbolic conservation laws with reflecting boundaries","volume":"4981","author":"amin","year":"2008","journal-title":"Hybrid Syst Comput Control Lecture Notes Comput Sci"},{"key":"ref3","first-page":"219","article-title":"Viscosity solutions and standard Riemann semigroup for conservation laws with boundary","volume":"99","author":"amadori","year":"1998","journal-title":"Rendiconti del Seminario Matematico dell'Universita di Padova"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141001383424"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902407776"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/426\/08182"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012996304407"},{"key":"ref49","author":"krstic","year":"1998","journal-title":"Stabilization of Nonlinear Uncertain Systems"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-007-0052-x"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2006.1657550"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160030302"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(99)00013-4"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/18.3.427"},{"key":"ref42","first-page":"271","article-title":"A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics","volume":"89","author":"godunov","year":"1959","journal-title":"Matematicheskii Sbornik"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160180408"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2008.01.002"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.trc.2006.08.001"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/7887774\/07509658.pdf?arnumber=7509658","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T05:59:31Z","timestamp":1718690371000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7509658\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4]]},"references-count":77,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tac.2016.2590598","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4]]}}}