{"id":"https://openalex.org/W2963773258","doi":"https://doi.org/10.23919/acc.2018.8431021","title":"Approximating the Region of Multi-Task Coordination via the Optimal Lyapunov-Like Barrier Function","display_name":"Approximating the Region of Multi-Task Coordination via the Optimal Lyapunov-Like Barrier Function","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2963773258","doi":"https://doi.org/10.23919/acc.2018.8431021","mag":"2963773258"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431021","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","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/A5101852463","display_name":"Dongkun Han","orcid":"https://orcid.org/0000-0003-0336-9818"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Dongkun Han","raw_affiliation_strings":["Department of Aerospace Engineering, The Chinese University of Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002716581","display_name":"Lixing Huang","orcid":"https://orcid.org/0000-0001-8650-715X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lixing Huang","raw_affiliation_strings":["Department of Aerospace Engineering, The University of Michigan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059647993","display_name":"Dimitra Panagou","orcid":"https://orcid.org/0000-0002-4547-167X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitra Panagou","raw_affiliation_strings":["Department of Aerospace Engineering, The University of Michigan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3953,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69472342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5070","last_page":"5075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/lyapunov-function","display_name":"Lyapunov function","score":0.7998316287994385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.600926399230957},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5629335641860962},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.5242205858230591},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5165130496025085},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5024042129516602},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48912888765335083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48137643933296204},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4781171381473541},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.46967869997024536},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4489353597164154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4347915053367615},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12867751717567444},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08750531077384949},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.05421113967895508},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0486009418964386}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7998316287994385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.600926399230957},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5629335641860962},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.5242205858230591},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5165130496025085},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5024042129516602},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48912888765335083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48137643933296204},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4781171381473541},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.46967869997024536},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4489353597164154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4347915053367615},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12867751717567444},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08750531077384949},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.05421113967895508},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0486009418964386},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2018.8431021","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1528301553","https://openalex.org/W1607353007","https://openalex.org/W1630241696","https://openalex.org/W2061573280","https://openalex.org/W2070842753","https://openalex.org/W2128928412","https://openalex.org/W2149913175","https://openalex.org/W2155724501","https://openalex.org/W2160643434","https://openalex.org/W2291649624","https://openalex.org/W2333451905","https://openalex.org/W2560504659","https://openalex.org/W2963773258","https://openalex.org/W2964239424","https://openalex.org/W2964244753","https://openalex.org/W3098925401","https://openalex.org/W3210839039","https://openalex.org/W4255442211","https://openalex.org/W6696688323","https://openalex.org/W6748857763"],"related_works":["https://openalex.org/W3217133416","https://openalex.org/W2534107666","https://openalex.org/W2234502090","https://openalex.org/W2383986032","https://openalex.org/W2349796700","https://openalex.org/W1975178315","https://openalex.org/W2546013078","https://openalex.org/W4388874082","https://openalex.org/W3194517843","https://openalex.org/W2496188264"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,10,28,37,48,53,57,68,75,82,91,114,123,126],"multi-task":[3,33,58],"coordination":[4,34,59],"problem":[5],"for":[6],"multi-agent":[7],"systems":[8],"under":[9],"following":[11],"objectives:":[12],"1.":[13],"collision":[14],"avoidance;":[15],"2.":[16],"connectivity":[17],"maintenance;":[18],"3.":[19],"convergence":[20],"to":[21,47,66,80,89,105],"desired":[22,49],"destinations.":[23],"The":[24],"paper":[25],"focuses":[26],"on":[27],"safety":[29],"guaranteed":[30],"region":[31],"of":[32,39,70,85,116,125],"(SG-RMTC),":[35],"i.e.,":[36],"set":[38],"initial":[40],"states":[41],"from":[42],"which":[43],"all":[44],"trajectories":[45],"converge":[46],"configuration,":[50],"while":[51],"at":[52],"same":[54],"time":[55],"achieve":[56],"and":[60],"avoid":[61],"unsafe":[62],"sets.":[63],"In":[64],"contrast":[65],"estimating":[67],"domain":[69],"attraction":[71],"via":[72],"Lyapunov":[73],"functions,":[74,99],"main":[76],"underlying":[77],"idea":[78],"is":[79,103,118],"employ":[81],"sublevel":[83],"sets":[84],"Lyapunov-like":[86,97,109],"barrier":[87,98,110],"functions":[88],"approximate":[90],"SG-RMTC.":[92],"Rather":[93],"than":[94],"using":[95],"fixed":[96],"a":[100],"systematic":[101],"way":[102],"proposed":[104,127],"search":[106],"an":[107],"optimal":[108],"function":[111],"such":[112],"that":[113],"under-estimate":[115],"SG-RMTC":[117],"maximized.":[119],"Numerical":[120],"examples":[121],"illustrate":[122],"effectiveness":[124],"method.":[128]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}