{"id":"https://openalex.org/W2298032791","doi":"https://doi.org/10.1080/00207721.2015.1112931","title":"Distributed LQR control for discrete-time homogeneous systems","display_name":"Distributed LQR control for discrete-time homogeneous systems","publication_year":2015,"publication_date":"2015-11-19","ids":{"openalex":"https://openalex.org/W2298032791","doi":"https://doi.org/10.1080/00207721.2015.1112931","mag":"2298032791"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2015.1112931","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1112931","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-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/A5100392311","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0003-4683-3166"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100425802","display_name":"Fangfang Zhang","orcid":"https://orcid.org/0000-0001-6516-9673"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangfang Zhang","raw_affiliation_strings":["School of Electrical Engineering, Zhengzhou University, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Zhengzhou University, Zhengzhou, China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100732641","display_name":"Chunyan Han","orcid":"https://orcid.org/0000-0001-5809-1740"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunyan Han","raw_affiliation_strings":["School of Electrical Engineering, University of Jinan, Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, University of Jinan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100392311"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.3328,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68321217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"15","first_page":"3678","last_page":"3687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.7276239991188049},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7160423994064331},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.711599588394165},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.6726908683776855},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6313967704772949},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6258910894393921},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6223418712615967},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.5698278546333313},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5060517191886902},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.47193214297294617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4641849398612976},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.45229730010032654},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4321300983428955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4243001639842987},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.41006743907928467},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23857080936431885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11449539661407471},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.08491912484169006}],"concepts":[{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.7276239991188049},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7160423994064331},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.711599588394165},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.6726908683776855},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6313967704772949},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6258910894393921},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6223418712615967},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.5698278546333313},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5060517191886902},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.47193214297294617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4641849398612976},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.45229730010032654},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4321300983428955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4243001639842987},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.41006743907928467},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23857080936431885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11449539661407471},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.08491912484169006},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2015.1112931","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1112931","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3678-3687","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2015.1112931","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5099999904632568}],"awards":[{"id":"https://openalex.org/G1164044601","display_name":null,"funder_award_id":"61304045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3162434374","display_name":null,"funder_award_id":"61573220","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G497636274","display_name":null,"funder_award_id":"61473134","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320311026","display_name":"Shandong University","ror":"https://ror.org/0207yh398"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W185492910","https://openalex.org/W2038887087","https://openalex.org/W2039533720","https://openalex.org/W2044734684","https://openalex.org/W2052649120","https://openalex.org/W2101830138","https://openalex.org/W2116311939","https://openalex.org/W2122375213","https://openalex.org/W2122800638","https://openalex.org/W2135519533","https://openalex.org/W2158983145","https://openalex.org/W2160643434","https://openalex.org/W2164217668","https://openalex.org/W2165744313"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2726381554","https://openalex.org/W2002357820","https://openalex.org/W197349956","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W1987193149"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,19,24,37,45,48,73,79,89,92,119],"distributed":[4,28,40,75],"linear":[5],"quadratic":[6],"regulation":[7],"(LQR)":[8],"controller":[9,30,41,76],"design":[10,86],"method":[11,87],"for":[12,27,112],"discrete-time":[13],"homogeneous":[14],"scalar":[15],"systems.":[16],"Based":[17],"on":[18,44,118],"optimal":[20,29,39,74],"centralised":[21],"control":[22],"theory,":[23],"existence":[25],"condition":[26,81],"is":[31,42,104],"firstly":[32],"proposed.":[33,105],"It":[34],"shows":[35],"that":[36],"globally":[38],"dependent":[43,117],"structure":[46],"of":[47,91,94,101,121],"penalty":[49],"matrix.":[50],"Such":[51],"results":[52],"can":[53],"be":[54,69],"used":[55,60],"in":[56],"consensus":[57],"problems":[58],"and":[59,99,109],"to":[61],"find":[62],"under":[63],"which":[64],"communication":[65,110],"topology":[66],"(may":[67],"not":[68],"an":[70],"all-to-all":[71],"form)":[72],"exists.":[77],"When":[78],"proposed":[80],"cannot":[82],"hold,":[83],"a":[84],"suboptimal":[85],"with":[88],"aid":[90],"decomposition":[93],"discrete":[95],"algebraic":[96],"Riccati":[97],"equations":[98],"robustness":[100],"local":[102],"controllers":[103],"The":[106],"computation":[107],"complexity":[108],"load":[111],"each":[113],"subsystem":[114],"are":[115],"only":[116],"number":[120],"its":[122],"neighbours.":[123]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
