{"id":"https://openalex.org/W2050758339","doi":"https://doi.org/10.1109/acc.2012.6315251","title":"Balancing of battery networks via constrained optimal control","display_name":"Balancing of battery networks via constrained optimal control","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2050758339","doi":"https://doi.org/10.1109/acc.2012.6315251","mag":"2050758339"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 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/A5072891938","display_name":"Claus Danielson","orcid":"https://orcid.org/0000-0002-2317-3014"},"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":true,"raw_author_name":"C. Danielson","raw_affiliation_strings":["University of California, Berkeley, CA, USA","University of California, Berkeley, CA 94720-1740, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley, CA 94720-1740, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025067440","display_name":"Francesco Borrelli","orcid":"https://orcid.org/0000-0001-8919-6430"},"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":"F. Borrelli","raw_affiliation_strings":["University of California, Berkeley, CA, USA","University of California, Berkeley, CA 94720-1740, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley, CA 94720-1740, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005091854","display_name":"Douglas Oliver","orcid":null},"institutions":[{"id":"https://openalex.org/I1292974536","display_name":"Ford Motor Company (United States)","ror":"https://ror.org/00g2tkw06","country_code":"US","type":"company","lineage":["https://openalex.org/I1292974536"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Oliver","raw_affiliation_strings":["Ford Research and Advanced Engineering, Dearborn, MI, USA","Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA"],"affiliations":[{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]},{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA","institution_ids":["https://openalex.org/I1292974536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033437141","display_name":"David V. Anderson","orcid":"https://orcid.org/0000-0002-8571-4613"},"institutions":[{"id":"https://openalex.org/I1292974536","display_name":"Ford Motor Company (United States)","ror":"https://ror.org/00g2tkw06","country_code":"US","type":"company","lineage":["https://openalex.org/I1292974536"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Anderson","raw_affiliation_strings":["Ford Research and Advanced Engineering, Dearborn, MI, USA","Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA"],"affiliations":[{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]},{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA","institution_ids":["https://openalex.org/I1292974536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112023001","display_name":"Ming Kuang","orcid":null},"institutions":[{"id":"https://openalex.org/I1292974536","display_name":"Ford Motor Company (United States)","ror":"https://ror.org/00g2tkw06","country_code":"US","type":"company","lineage":["https://openalex.org/I1292974536"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ming Kuang","raw_affiliation_strings":["Ford Research and Advanced Engineering, Dearborn, MI, USA","Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA"],"affiliations":[{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]},{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA","institution_ids":["https://openalex.org/I1292974536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043148274","display_name":"Tony Phillips","orcid":"https://orcid.org/0000-0002-3058-9157"},"institutions":[{"id":"https://openalex.org/I1292974536","display_name":"Ford Motor Company (United States)","ror":"https://ror.org/00g2tkw06","country_code":"US","type":"company","lineage":["https://openalex.org/I1292974536"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Phillips","raw_affiliation_strings":["Ford Research and Advanced Engineering, Dearborn, MI, USA","Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA"],"affiliations":[{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]},{"raw_affiliation_string":"Ford Research and Advanced Engineering, Dearborn, MI 48124-5029, USA","institution_ids":["https://openalex.org/I1292974536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5072891938"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":4.9936,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.95166317,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"4293","last_page":"4298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9977999925613403,"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/T11690","display_name":"Advanced battery technologies research","score":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.698632538318634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6931947469711304},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.689864993095398},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6664746999740601},{"id":"https://openalex.org/keywords/battery","display_name":"Battery (electricity)","score":0.5706853270530701},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.49342718720436096},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46813663840293884},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.45924025774002075},{"id":"https://openalex.org/keywords/utility-maximization","display_name":"Utility maximization","score":0.4416669011116028},{"id":"https://openalex.org/keywords/utility-maximization-problem","display_name":"Utility maximization problem","score":0.411784291267395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24155157804489136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17923519015312195},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07961565256118774},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06289070844650269}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.698632538318634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6931947469711304},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.689864993095398},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6664746999740601},{"id":"https://openalex.org/C555008776","wikidata":"https://www.wikidata.org/wiki/Q267298","display_name":"Battery (electricity)","level":3,"score":0.5706853270530701},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.49342718720436096},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46813663840293884},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.45924025774002075},{"id":"https://openalex.org/C2985793214","wikidata":"https://www.wikidata.org/wiki/Q3274096","display_name":"Utility maximization","level":2,"score":0.4416669011116028},{"id":"https://openalex.org/C2779044140","wikidata":"https://www.wikidata.org/wiki/Q3274096","display_name":"Utility maximization problem","level":3,"score":0.411784291267395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24155157804489136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17923519015312195},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07961565256118774},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06289070844650269},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6315251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W147334021","https://openalex.org/W1513253741","https://openalex.org/W1559582792","https://openalex.org/W1591114650","https://openalex.org/W2063780005","https://openalex.org/W2096627462","https://openalex.org/W2112514042","https://openalex.org/W2120987608","https://openalex.org/W2125668987","https://openalex.org/W2126694676","https://openalex.org/W2131566590","https://openalex.org/W2140123645","https://openalex.org/W2150740444","https://openalex.org/W2161138491","https://openalex.org/W2166618387","https://openalex.org/W2171629267","https://openalex.org/W2296319761","https://openalex.org/W4206320081","https://openalex.org/W6677964014","https://openalex.org/W6685171771"],"related_works":["https://openalex.org/W2951390543","https://openalex.org/W2949594337","https://openalex.org/W3123067344","https://openalex.org/W3121912968","https://openalex.org/W3173273982","https://openalex.org/W3185144076","https://openalex.org/W2995342467","https://openalex.org/W2049729694","https://openalex.org/W2104647710","https://openalex.org/W2097429160"],"abstract_inverted_index":{"This":[0],"paper":[1],"defines":[2],"two":[3,21,33],"control":[4],"problems:":[5],"the":[6,10,15,20,30,39],"capacity":[7,40],"maximization":[8,41],"and":[9,42,62],"battery":[11,43],"balancing":[12,44],"problems.":[13],"In":[14,29],"first":[16],"part,":[17,32],"we":[18],"compare":[19],"problems":[22,45],"by":[23],"analyzing":[24],"properties":[25],"of":[26,59],"their":[27],"solutions.":[28],"second":[31],"algorithms":[34,48,61],"are":[35,49],"presented":[36],"for":[37],"solving":[38],"respectively.":[46],"These":[47],"based":[50],"on":[51],"constrained":[52],"optimization":[53],"techniques.":[54],"We":[55],"prove":[56],"asymptotic":[57],"convergence":[58],"both":[60],"present":[63],"a":[64],"numerical":[65],"example.":[66]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}