{"id":"https://openalex.org/W4314947460","doi":"https://doi.org/10.1109/cdc51059.2022.9993328","title":"Hamilton-Jacobi Multi-Time Reachability","display_name":"Hamilton-Jacobi Multi-Time Reachability","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4314947460","doi":"https://doi.org/10.1109/cdc51059.2022.9993328"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9993328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993328","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/41k7q1hg","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109503764","display_name":"Manan Doshi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Manan Doshi","raw_affiliation_strings":["MIT,Department for Mechanical Engineering,USA","Department for Mechanical Engineering, MIT, USA"],"affiliations":[{"raw_affiliation_string":"MIT,Department for Mechanical Engineering,USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department for Mechanical Engineering, MIT, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036564881","display_name":"Manmeet S. Bhabra","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manmeet Bhabra","raw_affiliation_strings":["MIT,Department for Mechanical Engineering,USA","Department for Mechanical Engineering, MIT, USA"],"affiliations":[{"raw_affiliation_string":"MIT,Department for Mechanical Engineering,USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department for Mechanical Engineering, MIT, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083812172","display_name":"Marius Wiggert","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marius Wiggert","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,USA","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,USA","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062670983","display_name":"Pierre F. J. Lermusiaux","orcid":"https://orcid.org/0000-0002-1869-3883"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pierre F. J. Lermusiaux","raw_affiliation_strings":["MIT,Department for Mechanical Engineering,USA","Department for Mechanical Engineering, MIT, USA"],"affiliations":[{"raw_affiliation_string":"MIT,Department for Mechanical Engineering,USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department for Mechanical Engineering, MIT, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5109503764"],"corresponding_institution_ids":["https://openalex.org/I4210110987"],"apc_list":null,"apc_paid":null,"fwci":0.5372,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75791341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2443","last_page":"2450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.862963080406189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5486510396003723},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.48422813415527344},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32592710852622986},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.323641836643219},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.28586408495903015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2568383812904358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19326791167259216}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.862963080406189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5486510396003723},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.48422813415527344},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32592710852622986},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.323641836643219},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28586408495903015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2568383812904358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19326791167259216}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9993328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993328","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt41k7q1hg","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/41k7q1hg","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt41k7q1hg","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/41k7q1hg","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W168874853","https://openalex.org/W1092373588","https://openalex.org/W1512691241","https://openalex.org/W1964345118","https://openalex.org/W1975236902","https://openalex.org/W2006859604","https://openalex.org/W2007408517","https://openalex.org/W2027664020","https://openalex.org/W2041944778","https://openalex.org/W2071099748","https://openalex.org/W2093834886","https://openalex.org/W2110073061","https://openalex.org/W2111034649","https://openalex.org/W2113014481","https://openalex.org/W2139132599","https://openalex.org/W2152712142","https://openalex.org/W2153012550","https://openalex.org/W2605715724","https://openalex.org/W2794332241","https://openalex.org/W2806118768","https://openalex.org/W2807455070","https://openalex.org/W2947750717","https://openalex.org/W2963606896","https://openalex.org/W2964040381","https://openalex.org/W2965306080","https://openalex.org/W2970636910","https://openalex.org/W3155763807","https://openalex.org/W3184425352","https://openalex.org/W4251197584","https://openalex.org/W4296588381","https://openalex.org/W4313830349","https://openalex.org/W4314946871","https://openalex.org/W6606935068","https://openalex.org/W6798669329","https://openalex.org/W6982147049"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2143461633","https://openalex.org/W2150194458","https://openalex.org/W4321471459"],"abstract_inverted_index":{"For":[0],"the":[1,86,113,143,169],"analysis":[2,33],"of":[3,172],"dynamical":[4],"systems,":[5],"it":[6],"is":[7],"fundamental":[8],"to":[9],"determine":[10],"all":[11,40],"states":[12],"that":[13],"can":[14,136],"be":[15,137],"reached":[16],"at":[17,41],"any":[18,54],"given":[19],"time.":[20],"In":[21],"this":[22],"work,":[23],"we":[24,155],"obtain":[25],"and":[26,37,43,53,61,68,75,92,103,116,131,152],"apply":[27],"new":[28],"governing":[29],"equations":[30],"for":[31,44,65,108],"reachability":[32,134,159,175],"over":[34],"multiple":[35],"start":[36,76,98],"terminal":[38],"times":[39],"once,":[42],"systems":[45],"operating":[46],"in":[47,124,160,176],"time-varying":[48,73],"environments":[49],"with":[50,72,127,148],"dynamic":[51,57,177],"obstacles":[52],"other":[55,104],"relevant":[56],"fields.":[58],"The":[59,78],"theory":[60],"schemes":[62,115],"are":[63],"developed":[64],"both":[66],"backward":[67],"forward":[69],"reachable":[70,87],"tubes":[71,88,135],"target":[74,130,151],"sets.":[77],"resulting":[79],"value":[80],"functions":[81],"elegantly":[82],"capture":[83],"not":[84],"only":[85],"but":[89],"also":[90],"time-to-reach":[91],"time-to-leave":[93],"maps":[94],"as":[95,97],"well":[96],"time":[99],"vs.":[100],"duration":[101],"plots":[102],"useful":[105],"secondary":[106],"quantities":[107],"optimal":[109],"control.":[110],"We":[111,119,140],"discuss":[112],"numerical":[114],"computational":[117],"efficiency.":[118],"first":[120],"verify":[121],"our":[122,157],"results":[123],"an":[125],"environment":[126],"a":[128,149,161],"moving":[129,150],"obstacle":[132],"where":[133],"analytically":[138],"computed.":[139],"then":[141],"consider":[142],"Dubin\u2019s":[144],"car":[145],"problem":[146],"extended":[147],"obstacle.":[153],"Finally,":[154],"showcase":[156],"multi-time":[158,174],"non-hydrostatic":[162],"bottom":[163],"gravity":[164],"current":[165],"system.":[166],"Results":[167],"highlight":[168],"novel":[170],"capabilities":[171],"exact":[173],"environments.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
