{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T04:49:53Z","timestamp":1781930993640,"version":"3.54.5"},"reference-count":30,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T00:00:00Z","timestamp":1638316800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T00:00:00Z","timestamp":1638316800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T00:00:00Z","timestamp":1638316800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T00:00:00Z","timestamp":1638316800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550- 18-1-0253"],"award-info":[{"award-number":["FA9550- 18-1-0253"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["N00014-18-1-2209"],"award-info":[{"award-number":["N00014-18-1-2209"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS-1906164"],"award-info":[{"award-number":["ECCS-1906164"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1109\/tac.2021.3056611","type":"journal-article","created":{"date-parts":[[2021,2,3]],"date-time":"2021-02-03T04:42:41Z","timestamp":1612327361000},"page":"6025-6032","source":"Crossref","is-referenced-by-count":17,"title":["Backward Reachability for Polynomial Systems on a Finite Horizon"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3338-148X","authenticated-orcid":false,"given":"He","family":"Yin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9060-4032","authenticated-orcid":false,"given":"Murat","family":"Arcak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andrew","family":"Packard","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3423-1109","authenticated-orcid":false,"given":"Peter","family":"Seiler","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1145\/3302504.3313354"},{"key":"ref10","article-title":"Quantitative local analysis of nonlinear systems","author":"topcu","year":"2008"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.914221"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.967"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2006.1655340"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.108543"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/10997703_1"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2019.8814444"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2020.104736"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71493-4_34"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2009.5160528"},{"key":"ref28","author":"stevens","year":"1992","journal-title":"Aircraft Control and Simulation"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1177\/0278364914528059"},{"key":"ref27","article-title":"Recent NASA research on aerodynamic modeling of poststall and spin dynamics of large transport airplanes","author":"murch","year":"0","journal-title":"Proc 45th AIAA Aerosp Sci Meeting Exhibit"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2283095"},{"key":"ref6","first-page":"177","author":"cardaliaguet","year":"1999","journal-title":"Set-Valued Numerical Analysis for Optimal Control and Differential Games"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2010.12.001"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.851439"},{"key":"ref8","author":"aubin","year":"1991","journal-title":"Viability Theory"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01204182"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1177\/0278364917712421"},{"key":"ref9","article-title":"Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization","author":"parrilo","year":"2000"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2013.6631149"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.2948"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90465-Z"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5717672"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF00276493"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref26","article-title":"The MOSEK optimization toolbox for MATLAB manual. Version 8.1","author":"aps","year":"2017"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1145\/3302504.3313354"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/9\/9632853\/9345365-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/9632853\/09345365.pdf?arnumber=9345365","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:52:39Z","timestamp":1652194359000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9345365\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12]]},"references-count":30,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tac.2021.3056611","relation":{},"ISSN":["0018-9286","1558-2523","2334-3303"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"},{"value":"2334-3303","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12]]}}}