{"id":"https://openalex.org/W4389961034","doi":"https://doi.org/10.1109/lcsys.2023.3344659","title":"Efficient and Guaranteed Hamilton\u2013Jacobi Reachability via Self-Contained Subsystem Decomposition and Admissible Control Sets","display_name":"Efficient and Guaranteed Hamilton\u2013Jacobi Reachability via Self-Contained Subsystem Decomposition and Admissible Control Sets","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4389961034","doi":"https://doi.org/10.1109/lcsys.2023.3344659"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3344659","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3344659","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/7912304/10365682.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/7782633/7912304/10365682.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059567999","display_name":"Chong He","orcid":"https://orcid.org/0000-0002-6755-1005"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chong He","raw_affiliation_strings":["School of Computing Science, Simon Fraser University, Burnaby, Canada","School of Computing Science, Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":"https://orcid.org/0000-0002-6755-1005","affiliations":[{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071434942","display_name":"Zheng Gong","orcid":"https://orcid.org/0000-0002-2358-4104"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheng Gong","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-2358-4104","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387244","display_name":"Mo Chen","orcid":"https://orcid.org/0000-0001-8506-3665"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mo Chen","raw_affiliation_strings":["School of Computing Science, Simon Fraser University, Burnaby, Canada","School of Computing Science, Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8506-3665","affiliations":[{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071321544","display_name":"Sylvia Herbert","orcid":"https://orcid.org/0000-0002-3863-8945"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sylvia Herbert","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-3863-8945","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4923,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95094199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"3824","last_page":"3829"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10645","display_name":"Cardiac Arrest and Resuscitation","score":0.9437000155448914,"subfield":{"id":"https://openalex.org/subfields/2711","display_name":"Emergency Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10645","display_name":"Cardiac Arrest and Resuscitation","score":0.9437000155448914,"subfield":{"id":"https://openalex.org/subfields/2711","display_name":"Emergency Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10706","display_name":"Traumatic Brain Injury and Neurovascular Disturbances","score":0.9434999823570251,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12963","display_name":"Anesthesia and Neurotoxicity Research","score":0.9358000159263611,"subfield":{"id":"https://openalex.org/subfields/2806","display_name":"Developmental Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.901909589767456},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.8519130945205688},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7263679504394531},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6544829607009888},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5951030850410461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5535858869552612},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49801063537597656},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4525727927684784},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.4194096624851227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3656166195869446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3094262480735779},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.22333025932312012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10875445604324341}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.901909589767456},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.8519130945205688},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7263679504394531},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6544829607009888},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5951030850410461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5535858869552612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49801063537597656},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4525727927684784},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.4194096624851227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3656166195869446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3094262480735779},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.22333025932312012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10875445604324341},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2023.3344659","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3344659","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/7912304/10365682.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/lcsys.2023.3344659","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3344659","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/7912304/10365682.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G4720003262","display_name":null,"funder_award_id":"N00014-22","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389961034.pdf","grobid_xml":"https://content.openalex.org/works/W4389961034.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W856973001","https://openalex.org/W1998452137","https://openalex.org/W2020254113","https://openalex.org/W2071775092","https://openalex.org/W2116364955","https://openalex.org/W2176215692","https://openalex.org/W2888709541","https://openalex.org/W2963286335","https://openalex.org/W2963606896","https://openalex.org/W2964040381","https://openalex.org/W2964187480","https://openalex.org/W2968547875","https://openalex.org/W3003168784","https://openalex.org/W3010970209","https://openalex.org/W3040197514","https://openalex.org/W3090615456","https://openalex.org/W3198315242","https://openalex.org/W4366566349","https://openalex.org/W6852727051"],"related_works":["https://openalex.org/W2136512912","https://openalex.org/W2127267268","https://openalex.org/W2156446763","https://openalex.org/W2067910792","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W197679583","https://openalex.org/W2767915842"],"abstract_inverted_index":{"Hamilton-Jacobi":[0],"reachability":[1],"analysis":[2],"is":[3,22,32],"a":[4,33,116,139,160,168],"useful":[5],"tool":[6],"for":[7,68,112,127],"generating":[8],"reachable":[9,104],"sets":[10,105,131],"and":[11,61,77,106,163],"corresponding":[12,108],"optimal":[13,109],"control":[14,66,88,93,110],"policies,":[15],"but":[16,36],"its":[17,165],"use":[18],"in":[19,143],"high-dimensional":[20],"systems":[21],"hindered":[23],"by":[24,81],"the":[25,46,54,58,64,83,96,107,144],"\u201ccurse":[26],"of":[27,57,85],"dimensionality.\"":[28],"Self-contained":[29],"subsystem":[30],"decomposition":[31,56],"proposed":[34],"solution,":[35],"it":[37],"can":[38,148],"produce":[39],"conservative":[40,125,137],"or":[41],"incorrect":[42],"results":[43],"due":[44],"to":[45,151],"\u201cleaking":[47],"corner":[48],"issue.\"":[49],"This":[50],"issue":[51,80],"arises":[52],"from":[53],"inexact":[55,133],"target":[59],"set":[60,89],"inconsistencies":[62],"across":[63,95],"computed":[65],"policies":[67],"each":[69],"coupled":[70,97],"subsystem.":[71],"In":[72,135],"this":[73,79,136],"paper,":[74],"we":[75],"define":[76],"resolve":[78],"introducing":[82],"notion":[84],"an":[86],"admissible":[87],"that":[90],"enforces":[91],"consistent":[92],"actions":[94],"subsystems.":[98],"Our":[99],"method":[100,142],"efficiently":[101],"computes":[102],"exact":[103,153],"policy":[111],"self-contained":[113],"subsystems":[114],"with":[115,132],"decomposable":[117],"goal":[118,128],"(or":[119,129],"failure)":[120,130],"set.":[121],"We":[122,155],"also":[123],"provide":[124],"under-approximations":[126],"decomposition.":[134],"case,":[138],"local":[140],"update":[141],"full":[145],"dimensional":[146],"space":[147],"be":[149],"applied":[150],"recover":[152],"results.":[154],"validate":[156],"our":[157],"approach":[158],"on":[159,167],"3D1":[161],"system":[162],"demonstrate":[164],"scalability":[166],"6D1":[169],"system.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
