{"id":"https://openalex.org/W7123337443","doi":"https://doi.org/10.1109/cdc57313.2025.11312401","title":"Trajectory Optimization of Stochastic Systems under Chance Constraints via Set Erosion","display_name":"Trajectory Optimization of Stochastic Systems under Chance Constraints via Set Erosion","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123337443","doi":"https://doi.org/10.1109/cdc57313.2025.11312401"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043975175","display_name":"Zishun Liu","orcid":"https://orcid.org/0000-0003-1831-0966"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zishun Liu","raw_affiliation_strings":["Georgia Institute of Technology,Atlanta,GA,30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology,Atlanta,GA,30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122903843","display_name":"Liqian Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liqian Ma","raw_affiliation_strings":["Georgia Institute of Technology,Atlanta,GA,30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology,Atlanta,GA,30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122881304","display_name":"Yongxin Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongxin Chen","raw_affiliation_strings":["Georgia Institute of Technology,Atlanta,GA,30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology,Atlanta,GA,30332","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4534","last_page":"4539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.43459999561309814,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.43459999561309814,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.1573999971151352,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.02930000051856041,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.7752000093460083},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7268000245094299},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5781000256538391},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5142999887466431},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5022000074386597},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.47699999809265137},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4740999937057495},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4657999873161316}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7752000093460083},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7268000245094299},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6998000144958496},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5781000256538391},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5142999887466431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.510200023651123},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.47699999809265137},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4740999937057495},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4657999873161316},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.4611999988555908},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.45669999718666077},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43220001459121704},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3930000066757202},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3402000069618225},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.33160001039505005},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3154999911785126},{"id":"https://openalex.org/C116930293","wikidata":"https://www.wikidata.org/wiki/Q5265717","display_name":"Deterministic system (philosophy)","level":2,"score":0.29280000925064087}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,154],"study":[1],"the":[2,19,29,35,46,50,61,65,68,131,139,156],"trajectory":[3,70,142,150],"optimization":[4,143],"problem":[5],"under":[6,149],"chance":[7,15,36,152],"constraints":[8,16,37,40],"for":[9,75,145],"continuous-time":[10],"stochastic":[11,21,69,147],"systems.":[12],"To":[13,130],"address":[14],"imposed":[17],"on":[18,28,41,64],"entire":[20],"trajectory,":[22],"we":[23,77],"propose":[24],"a":[25,79,91,125],"framework":[26,109],"based":[27],"set":[30,48],"erosion":[31,57],"strategy,":[32],"which":[33,76],"converts":[34],"into":[38],"safety":[39],"an":[42],"eroded":[43],"subset":[44],"of":[45,56,128,133],"safe":[47],"along":[49],"corresponding":[51],"deterministic":[52,73,92,114],"trajectory.":[53],"The":[54],"depth":[55],"is":[58,110],"captured":[59],"by":[60],"probabilistic":[62,83],"bound":[63,84],"distance":[66],"between":[67],"and":[71,81,101,121],"its":[72],"counterpart,":[74],"utilize":[78],"novel":[80],"sharp":[82],"developed":[85],"recently.":[86],"By":[87],"adopting":[88],"this":[89],"framework,":[90],"control":[93,116],"input":[94],"sequence":[95],"can":[96],"be":[97],"obtained,":[98],"whose":[99],"feasibility":[100],"performance":[102],"are":[103],"demonstrated":[104],"through":[105,159],"theoretical":[106],"analysis.":[107],"Our":[108],"compatible":[111],"with":[112],"various":[113],"optimal":[115],"techniques,":[117],"offering":[118],"great":[119],"flexibility":[120],"computational":[122],"efficiency":[123],"in":[124],"wide":[126],"range":[127],"scenarios.":[129],"best":[132],"our":[134,136],"knowledge,":[135],"method":[137,158],"provides":[138],"first":[140],"scalable":[141],"scheme":[144],"high-dimensional":[146],"systems":[148],"level":[151],"constraints.":[153],"validate":[155],"proposed":[157],"two":[160],"numerical":[161],"experiments.":[162]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2026-01-14T00:00:00"}
