{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T12:10:57Z","timestamp":1767183057707},"reference-count":31,"publisher":"IEEE","license":[{"start":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T00:00:00Z","timestamp":1607904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T00:00:00Z","timestamp":1607904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,14]]},"DOI":"10.1109\/cdc42340.2020.9304022","type":"proceedings-article","created":{"date-parts":[[2021,1,13]],"date-time":"2021-01-13T07:27:32Z","timestamp":1610522852000},"page":"2130-2137","source":"Crossref","is-referenced-by-count":14,"title":["Computing Non-Convex Inner-Approximations of Reachable Sets for Nonlinear Continuous Systems"],"prefix":"10.1109","author":[{"given":"Niklas","family":"Kochdumper","sequence":"first","affiliation":[{"name":"Technical University of Munich,Faculty of Computer Science,Garching,Germany"}]},{"given":"Matthias","family":"Althoff","sequence":"additional","affiliation":[{"name":"Technical University of Munich,Faculty of Computer Science,Garching,Germany"}]}],"member":"263","reference":[{"key":"ref31","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/978-3-319-41528-4_25","article-title":"Under-approximating backward reachable sets by polytopes","author":"xue","year":"2016","journal-title":"Proc of the 28th International Conference on Computer Aided Verification"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2923049"},{"key":"ref10","first-page":"59","article-title":"Under-approximate flowpipes for non-linear continuous systems","author":"chen","year":"2014","journal-title":"Proc of the 14th International Conference on Formal Methods in Computer-Aided Design"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/978-3-642-22110-1_30","article-title":"SpaceEx: Scalable verification of hybrid systems","author":"frehse","year":"2011","journal-title":"Proceedings of the 23rd Conference on Computer Aided Verification"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/11730637_21","article-title":"Efficient computation of reachable sets of linear time-invariant systems with inputs","author":"girard","year":"2006","journal-title":"Proc of the 9th International Conference on Hybrid Systems Computation and Control"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1145\/2562059.2562113"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1145\/3049797.3049811"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1145\/3302504.3311794"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.05.023"},{"journal-title":"Applied Interval Analysis","year":"2006","author":"jaulin","key":"ref17"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/800057.808695"},{"article-title":"Sparse polynomial zonotopes: A novel set representation for reachability analysis","year":"2019","author":"kochdumper","key":"ref19"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-65765-3_16"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1145\/1967701.1967717"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2615599"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1145\/2185632.2185643"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/978-3-319-63387-9_20","article-title":"Simulation-equivalent reachability of large linear systems with inputs","author":"bak","year":"2017","journal-title":"Proc of the 29th International Conference on Computer Aided Verification"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1145\/3178126.3178133"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/978-3-319-65765-3_8","article-title":"Time-triggered conversion of guards for reachability analysis of hybrid automata","author":"bak","year":"2017","journal-title":"Proceedings of the 6th International Conference on Formal Modeling and Analysis of Timed Systems"},{"key":"ref8","article-title":"Reachability Analysis of Non-Linear Hybrid Systems Using Taylor Models","author":"chen","year":"2015","journal-title":"PhD Thesis RWTH Aachen University"},{"key":"ref7","first-page":"230","article-title":"Revising hull and box consistency","author":"benhamou","year":"1999","journal-title":"Proc of the 16th International Conference on Logic Programming"},{"key":"ref2","first-page":"120","article-title":"An introduction to CORA 2015","author":"althoff","year":"2015","journal-title":"Proc of the 1st and 2nd International Workshop on Applied Verification for Continuous and Hybrid Systems"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/RTSS.2012.70"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1145\/2461328.2461358"},{"key":"ref20","article-title":"Utilizing dependencies to obtain subsets of reachable sets","author":"kochdumper","year":"2020","journal-title":"Proc of the 23rd International Conference on Hybrid Systems Computation and Control"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1007\/3-540-46430-1_19","article-title":"Ellipsoidal techniques for reachability analysis","author":"kurzhanski","year":"2000","journal-title":"Proc of the 3rd International Conference on Hybrid Systems Computation and Control"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1145\/3049797.3049814"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.851439"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1007\/978-3-030-00151-3_15","article-title":"Safe over-and under-approximation of reachable sets for autonomous dynamical systems","author":"li","year":"2018","journal-title":"Proceedings of the 6th International Conference on Formal Modeling and Analysis of Timed Systems"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-15396-9_39"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2002.1024794"}],"event":{"name":"2020 59th IEEE Conference on Decision and Control (CDC)","start":{"date-parts":[[2020,12,14]]},"location":"Jeju, Korea (South)","end":{"date-parts":[[2020,12,18]]}},"container-title":["2020 59th IEEE Conference on Decision and Control (CDC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9303728\/9303729\/09304022.pdf?arnumber=9304022","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T08:01:34Z","timestamp":1724313694000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9304022\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,14]]},"references-count":31,"URL":"https:\/\/doi.org\/10.1109\/cdc42340.2020.9304022","relation":{},"subject":[],"published":{"date-parts":[[2020,12,14]]}}}