{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T09:36:26Z","timestamp":1729676186178,"version":"3.28.0"},"reference-count":26,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,12]]},"DOI":"10.1109\/cdc.2009.5400248","type":"proceedings-article","created":{"date-parts":[[2010,2,2]],"date-time":"2010-02-02T15:27:26Z","timestamp":1265124446000},"page":"1223-1228","source":"Crossref","is-referenced-by-count":0,"title":["Parametrization of a convex optimization problem by optimal control theory and proof of a Goldberg conjecture"],"prefix":"10.1109","author":[{"given":"Terence","family":"Bayen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01894567"},{"key":"ref11","first-page":"92","article-title":"On some problems of maxima and minima for the curve of constant breadth and the in-resolvable curve of the equilateral triangle","volume":"11","author":"fujiwara","year":"1917","journal-title":"Tohoku Math J"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/2310379"},{"key":"ref13","volume":"a and b","author":"gruber","year":"1993","journal-title":"Handbook of Convex Geometry"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02930861"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2005.05.015"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19750551003"},{"key":"ref17","first-page":"67","article-title":"Sur quelques questions de minimum, relatives aux courbes orbiformes, et sur leurs rapports avec le calcul des variations","volume":"4","author":"lebesgue","year":"1921","journal-title":"J Math Pures Appl (8)"},{"key":"ref18","first-page":"309","article-title":"Uber die Anwendung von Fourierreihen auf einige Aufgaben der Geometrie und Kinematik","volume":"54","author":"meissner","year":"1909","journal-title":"Vierteljahresschr Naturfor Ges Z&#x00FC;rich"},{"key":"ref19","first-page":"42","article-title":"Uber Punktmengen konstanter Breite","volume":"56","author":"meissner","year":"1911","journal-title":"Vierteljahresschr Naturfor Ges Z&#x00FC;rich"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/070705325"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19840640303"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01458221"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-007-0060-x"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-5858-8_3"},{"journal-title":"Theory of Convex Bodies BCS Associates","year":"1987","author":"bonnesen","key":"ref7"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19840640107"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1142\/p361"},{"key":"ref1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-06404-7","author":"agrachev","year":"2004","journal-title":"Control Theory from the Geometric Viewpoint"},{"key":"ref20","first-page":"92","article-title":"Drei Gipsmodelle von Flachen konstanter Breite","volume":"60","author":"meissner","year":"1912","journal-title":"Z Math Phys"},{"journal-title":"The Kinematics of Machinery Outlines of a Theory of Machines","year":"1876","author":"reuleaux","key":"ref22"},{"article-title":"Invariante Variationsprobleme: Gott, Nachr","year":"1918","author":"noether","key":"ref21"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-008-0138-x"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526282"},{"key":"ref26","article-title":"Convex Figures","author":"yaglom","year":"1961","journal-title":"Holt Rinehart and Winston"},{"key":"ref25","first-page":"620","article-title":"On the Noether invariance principle for constrained optimal control problems","volume":"3","author":"torres","year":"2004","journal-title":"WSEAS Trans Math"}],"event":{"name":"2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC 2009)","start":{"date-parts":[[2009,12,15]]},"location":"Shanghai","end":{"date-parts":[[2009,12,18]]}},"container-title":["Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/5379695\/5399469\/05400248.pdf?arnumber=5400248","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,19]],"date-time":"2017-06-19T04:19:03Z","timestamp":1497845943000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5400248\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,12]]},"references-count":26,"URL":"https:\/\/doi.org\/10.1109\/cdc.2009.5400248","relation":{},"subject":[],"published":{"date-parts":[[2009,12]]}}}