{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T18:39:10Z","timestamp":1649183950453},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Soft. Eng. Knowl. Eng."],"published-print":{"date-parts":[[2005,4]]},"abstract":"<jats:p> Dynamic optimization problems with linear hybrid (discrete\/continuous) systems embedded whose transition times vary are inherently nonconvex. For a wide variety of applications, a certificate of global optimality is essential, but this cannot be obtained using conventional numerical methods. We present a deterministic framework for the solution of such problems in the continuous time domain. First, the control parametrization enhancing transform is used to transform the embedded dynamic system from a linear hybrid system with scaled discontinuities and varying transition times into a nonlinear hybrid system with stationary discontinuities and fixed transition times. Next, a recently developed convexity theory is applied to construct a convex relaxation of the original nonconvex problem. This allows the problem to be solved in a branch-and-bound framework that can guarantee the global solution within epsilon optimality in a finite number of iterations. <\/jats:p>","DOI":"10.1142\/s0218194005001938","type":"journal-article","created":{"date-parts":[[2005,5,24]],"date-time":"2005-05-24T07:56:24Z","timestamp":1116921384000},"page":"467-472","source":"Crossref","is-referenced-by-count":0,"title":["GLOBAL OPTIMIZATION OF LINEAR HYBRID SYSTEMS WITH VARYING TIME EVENTS"],"prefix":"10.1142","volume":"15","author":[{"given":"CHA KUN","family":"LEE","sequence":"first","affiliation":[{"name":"Process Systems Engineering Laboratory, Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PAUL I.","family":"BARTON","sequence":"additional","affiliation":[{"name":"Process Systems Engineering Laboratory, Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2003.09.005"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2003.09.015"},{"key":"rf3","volume-title":"A Unified Computational Approach to Optimal Control Problems","author":"Teo K.","year":"1991"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1021\/ie00033a014"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-36580-X_39"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03199-5"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580665"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0098-1354(98)00027-1"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000037606.79050.a7"},{"key":"rf11","author":"Singer A. B.","journal-title":"J. Global Opt."},{"key":"rf12","first-page":"243","volume":"6","author":"Lee H. W. J.","journal-title":"Dynam. Systems Appl."}],"container-title":["International Journal of Software Engineering and Knowledge Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218194005001938","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:17:40Z","timestamp":1565180260000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218194005001938"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,4]]},"references-count":11,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2005,4]]}},"alternative-id":["10.1142\/S0218194005001938"],"URL":"https:\/\/doi.org\/10.1142\/s0218194005001938","relation":{},"ISSN":["0218-1940","1793-6403"],"issn-type":[{"value":"0218-1940","type":"print"},{"value":"1793-6403","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,4]]}}}