{"id":"https://openalex.org/W2972523776","doi":"https://doi.org/10.23919/acc.2019.8814952","title":"On the Exponential Number of Connected Components for the Feasible Set of Optimal Decentralized Control Problems","display_name":"On the Exponential Number of Connected Components for the Feasible Set of Optimal Decentralized Control Problems","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2972523776","doi":"https://doi.org/10.23919/acc.2019.8814952","mag":"2972523776"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8814952","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","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/A5003746021","display_name":"Feng Han","orcid":"https://orcid.org/0000-0002-8993-5157"},"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":"Han Feng","raw_affiliation_strings":["Industrial Engineering and Operations Research, University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Operations Research, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042580848","display_name":"Javad Lavaei","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":"Javad Lavaei","raw_affiliation_strings":["Industrial Engineering and Operations Research, University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Operations Research, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1430","last_page":"1437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9986000061035156,"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":0.9986000061035156,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12288","display_name":"Optimization and Search Problems","score":0.9746000170707703,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5622299909591675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5409354567527771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5306723713874817},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4994688034057617},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49615201354026794},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.49182653427124023},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.48160526156425476},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.47786659002304077},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.46853509545326233},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42154809832572937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3882594108581543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18485185503959656}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5622299909591675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5409354567527771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5306723713874817},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4994688034057617},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49615201354026794},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.49182653427124023},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.48160526156425476},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.47786659002304077},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.46853509545326233},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42154809832572937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3882594108581543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18485185503959656},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2019.8814952","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 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":49,"referenced_works":["https://openalex.org/W1971522340","https://openalex.org/W1980183459","https://openalex.org/W1998331973","https://openalex.org/W2004958561","https://openalex.org/W2025621761","https://openalex.org/W2042106612","https://openalex.org/W2054812154","https://openalex.org/W2069525910","https://openalex.org/W2073789930","https://openalex.org/W2076199517","https://openalex.org/W2093038430","https://openalex.org/W2094012170","https://openalex.org/W2104095095","https://openalex.org/W2113789941","https://openalex.org/W2114117321","https://openalex.org/W2125430362","https://openalex.org/W2136598296","https://openalex.org/W2137002893","https://openalex.org/W2153961377","https://openalex.org/W2296319761","https://openalex.org/W2592651140","https://openalex.org/W2610279013","https://openalex.org/W2620356654","https://openalex.org/W2769097798","https://openalex.org/W2782764463","https://openalex.org/W2783637925","https://openalex.org/W2798766386","https://openalex.org/W2805015164","https://openalex.org/W2898801856","https://openalex.org/W2947553656","https://openalex.org/W2949975756","https://openalex.org/W2963092340","https://openalex.org/W2964156132","https://openalex.org/W2964340332","https://openalex.org/W3101657866","https://openalex.org/W3102961917","https://openalex.org/W3104452722","https://openalex.org/W3210839039","https://openalex.org/W4231969292","https://openalex.org/W4250589301","https://openalex.org/W4254315244","https://openalex.org/W4297686031","https://openalex.org/W4297824589","https://openalex.org/W4376552681","https://openalex.org/W6712153814","https://openalex.org/W6748267705","https://openalex.org/W6751621054","https://openalex.org/W6755725002","https://openalex.org/W7028994552"],"related_works":["https://openalex.org/W4394883359","https://openalex.org/W1602624896","https://openalex.org/W1519862060","https://openalex.org/W1634993130","https://openalex.org/W2084061773","https://openalex.org/W2104564563","https://openalex.org/W32300376","https://openalex.org/W2794917831","https://openalex.org/W2013108996","https://openalex.org/W3023224836"],"abstract_inverted_index":{"The":[0,122],"optimal":[1,154],"decentralized":[2,75],"control":[3,156],"(ODC)":[4],"problem":[5,48,116,176],"is":[6,58,91,109,214],"known":[7],"to":[8,159],"be":[9],"NP-hard":[10],"and":[11,54],"many":[12],"sufficient":[13],"tractability":[14],"conditions":[15],"have":[16,127],"been":[17,150],"derived":[18],"in":[19,50,93,100,104,134],"the":[20,31,35,64,70,86,94,97,110,114,131,138,153,175,185,190,196,206,215],"literature":[21],"for":[22,40,69,84,117,144,152,161],"its":[23],"convex":[24],"reformulations":[25],"or":[26],"approximations.":[27],"To":[28],"better":[29],"understand":[30],"root":[32],"cause":[33],"of":[34,37,47,52,66,72,82,88,96,106,113,124,140,169,174,181,192,209],"non-existence":[36],"efficient":[38],"methods":[39],"solving":[41],"ODC,":[42,210],"we":[43,78,199],"propose":[44],"a":[45,80,178],"measure":[46],"complexity":[49,186,208],"terms":[51],"connectivity,":[53],"show":[55,200],"that":[56,201],"there":[57],"no":[59,172],"polynomial":[60],"upper":[61],"bound":[62],"on":[63],"number":[65,87,168,191],"connected":[67,89,193],"components":[68,90,108],"set":[71],"static":[73],"stabilizing":[74],"controllers.":[76],"Specifically,":[77],"present":[79],"subclass":[81],"problems":[83],"which":[85,147],"exponential":[92,167],"order":[95],"system":[98,216],"and,":[99],"particular,":[101],"any":[102],"point":[103],"each":[105],"these":[107],"unique":[111],"solution":[112],"ODC":[115,162],"some":[118],"quadratic":[119],"objective":[120],"functional.":[121],"results":[123],"this":[125],"paper":[126],"two":[128],"implications.":[129],"First,":[130],"recent":[132],"effort":[133],"machine":[135],"learning":[136],"advocating":[137],"use":[139],"local":[141],"search":[142],"algorithms":[143],"non-convex":[145],"problems,":[146],"has":[148],"also":[149],"successful":[151],"centralized":[155],"problem,":[157],"fails":[158],"work":[160],"since":[163,187],"it":[164,188],"needs":[165],"an":[166],"initializations.":[170],"Second,":[171],"reformulation":[173],"through":[177],"smooth":[179],"change":[180],"variables":[182],"can":[183,204],"reduce":[184,205],"maintains":[189],"components.":[194],"On":[195],"positive":[197],"side,":[198],"structural":[202],"assumptions":[203],"connectivity":[207],"one":[211],"such":[212],"structure":[213],"being":[217],"highly":[218],"damped.":[219]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
