{"id":"https://openalex.org/W4381894880","doi":"https://doi.org/10.1109/lcsys.2023.3289060","title":"Local Convergence of Multi-Agent Systems Toward Rigid Lattices","display_name":"Local Convergence of Multi-Agent Systems Toward Rigid Lattices","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4381894880","doi":"https://doi.org/10.1109/lcsys.2023.3289060"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3289060","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3289060","pdf_url":null,"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://doi.org/10.1109/lcsys.2023.3289060","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032770227","display_name":"Andrea Giusti","orcid":"https://orcid.org/0000-0001-8601-1453"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Giusti","raw_affiliation_strings":["Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy","Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8601-1453","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071902133","display_name":"Marco Coraggio","orcid":"https://orcid.org/0000-0003-2784-1486"},"institutions":[{"id":"https://openalex.org/I2800920820","display_name":"Istituto Universitario di Studi Superiori di Pavia","ror":"https://ror.org/0290wsh42","country_code":"IT","type":"education","lineage":["https://openalex.org/I2800920820"]},{"id":"https://openalex.org/I4210149489","display_name":"Scuola Superiore Meridionale","ror":"https://ror.org/04swxte59","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210149489"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Coraggio","raw_affiliation_strings":["Scuola Superiore Meridionale, School for Advanced Studies, Naples, Italy","School for Advanced Studies, Largo S. Marcellino 10, Scuola Superiore Meridionale, Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2784-1486","affiliations":[{"raw_affiliation_string":"Scuola Superiore Meridionale, School for Advanced Studies, Naples, Italy","institution_ids":["https://openalex.org/I4210149489","https://openalex.org/I2800920820"]},{"raw_affiliation_string":"School for Advanced Studies, Largo S. Marcellino 10, Scuola Superiore Meridionale, Naples, Italy","institution_ids":["https://openalex.org/I4210149489","https://openalex.org/I2800920820"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034953482","display_name":"Mario di Bernardo","orcid":"https://orcid.org/0000-0002-2171-4745"},"institutions":[{"id":"https://openalex.org/I2800920820","display_name":"Istituto Universitario di Studi Superiori di Pavia","ror":"https://ror.org/0290wsh42","country_code":"IT","type":"education","lineage":["https://openalex.org/I2800920820"]},{"id":"https://openalex.org/I4210149489","display_name":"Scuola Superiore Meridionale","ror":"https://ror.org/04swxte59","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210149489"]},{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario di Bernardo","raw_affiliation_strings":["Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy","School for Advanced Studies, Largo S. Marcellino 10, Scuola Superiore Meridionale, Naples, Italy","Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2171-4745","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"School for Advanced Studies, Largo S. Marcellino 10, Scuola Superiore Meridionale, Naples, Italy","institution_ids":["https://openalex.org/I4210149489","https://openalex.org/I2800920820"]},{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1379,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79091003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"2869","last_page":"2874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/scalability","display_name":"Scalability","score":0.6701448559761047},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5769540071487427},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5644187927246094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5453651547431946},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.523228108882904},{"id":"https://openalex.org/keywords/software-deployment","display_name":"Software deployment","score":0.5114487409591675},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.4487364888191223},{"id":"https://openalex.org/keywords/collective-behavior","display_name":"Collective behavior","score":0.4264146685600281},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40482795238494873},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3962513506412506},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.321221262216568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3020174503326416},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17742469906806946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15827137231826782}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6701448559761047},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5769540071487427},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5644187927246094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5453651547431946},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.523228108882904},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.5114487409591675},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.4487364888191223},{"id":"https://openalex.org/C100339178","wikidata":"https://www.wikidata.org/wiki/Q2548752","display_name":"Collective behavior","level":2,"score":0.4264146685600281},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40482795238494873},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3962513506412506},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.321221262216568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3020174503326416},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17742469906806946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15827137231826782},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2023.3289060","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3289060","pdf_url":null,"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"},{"id":"pmh:oai:zenodo.org:13205894","is_oa":true,"landing_page_url":"https://doi.org/10.1109/LCSYS.2023.3289060","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, 7, 2869-2874, (2023-06-23)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/lcsys.2023.3289060","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3289060","pdf_url":null,"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":0.47999998927116394,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G5782079163","display_name":null,"funder_award_id":"101092889","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G808040257","display_name":null,"funder_award_id":"PNRR CN00000013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1596321532","https://openalex.org/W1976486181","https://openalex.org/W1977438424","https://openalex.org/W2007846897","https://openalex.org/W2060348492","https://openalex.org/W2067461601","https://openalex.org/W2083990345","https://openalex.org/W2105306134","https://openalex.org/W2105850748","https://openalex.org/W2118331730","https://openalex.org/W2127293817","https://openalex.org/W2567990716","https://openalex.org/W2897219427","https://openalex.org/W3114059704","https://openalex.org/W3137699165","https://openalex.org/W3160173019","https://openalex.org/W4205280300","https://openalex.org/W4206071945","https://openalex.org/W4224991350","https://openalex.org/W4250838628","https://openalex.org/W4280502022","https://openalex.org/W4312324560","https://openalex.org/W4312761076","https://openalex.org/W4387141426","https://openalex.org/W6652414890","https://openalex.org/W6840512438"],"related_works":["https://openalex.org/W2364921833","https://openalex.org/W2385146268","https://openalex.org/W3014165303","https://openalex.org/W2380023786","https://openalex.org/W2546696010","https://openalex.org/W2124673033","https://openalex.org/W1992741870","https://openalex.org/W4300829366","https://openalex.org/W1566962478","https://openalex.org/W2149206152"],"abstract_inverted_index":{"Geometric":[0],"pattern":[1,65],"formation":[2,66],"is":[3,56],"an":[4],"important":[5],"emergent":[6],"behavior":[7,36],"in":[8,37,67],"many":[9],"applications":[10],"involving":[11],"large-scale":[12,87],"multi-agent":[13,88],"systems,":[14],"such":[15,35],"as":[16],"sensor":[17],"networks":[18],"deployment":[19],"and":[20,40,96,113],"collective":[21],"transportation.":[22],"Attraction/":[23],"repulsion":[24],"virtual":[25,84],"forces":[26],"are":[27,104],"the":[28,61,80,115,121],"most":[29,45],"common":[30],"control":[31],"approach":[32],"to":[33,75],"achieve":[34],"a":[38,86,94],"distributed":[39],"scalable":[41],"manner.":[42],"Nevertheless,":[43],"for":[44],"existing":[46],"solutions":[47],"only":[48],"numerical":[49,108],"and/or":[50],"experimental":[51],"evidence":[52],"of":[53,63,69,82,117,120],"their":[54,111],"convergence":[55],"available.":[57],"Here,":[58],"we":[59],"revisit":[60],"problem":[62],"achieving":[64],"spaces":[68],"any":[70],"dimension,":[71],"giving":[72],"sufficient":[73],"conditions":[74],"prove":[76],"analytically":[77],"that":[78],"under":[79],"influence":[81],"appropriate":[83],"forces,":[85],"swarming":[89],"system":[90],"locally":[91],"converges":[92],"towards":[93],"stable":[95],"robust":[97],"rigid":[98,122],"lattice":[99,123],"configuration.":[100,124],"Our":[101],"theoretical":[102],"results":[103],"complemented":[105],"by":[106],"exhaustive":[107],"simulations":[109],"confirming":[110],"effectiveness":[112],"estimating":[114],"region":[116],"asymptotic":[118],"stability":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2023-06-25T00:00:00"}
