{"id":"https://openalex.org/W2794050453","doi":"https://doi.org/10.1109/anzcc.2017.8298495","title":"Linear quadratic control when Riccati equation is irregular","display_name":"Linear quadratic control when Riccati equation is irregular","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2794050453","doi":"https://doi.org/10.1109/anzcc.2017.8298495","mag":"2794050453"},"language":"en","primary_location":{"id":"doi:10.1109/anzcc.2017.8298495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/anzcc.2017.8298495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Australian and New Zealand Control Conference (ANZCC)","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/A5114377900","display_name":"Huanshui Zhang","orcid":"https://orcid.org/0000-0002-8611-7327"},"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":false,"raw_author_name":"Huanshui Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, Shandong, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, Shandong, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100768356","display_name":"Juanjuan Xu","orcid":"https://orcid.org/0000-0003-0331-9976"},"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":false,"raw_author_name":"Juanjuan Xu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, Shandong, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, Shandong, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"112","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/riccati-equation","display_name":"Riccati equation","score":0.8722667694091797},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.7901023626327515},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"Controllability Gramian","score":0.7359557151794434},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.7353972792625427},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.7284272909164429},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.7197585105895996},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6595869660377502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6360266208648682},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6026093363761902},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5525727272033691},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5074571967124939},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5056979656219482},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5007233619689941},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4093155562877655},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39519983530044556},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3310021162033081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23786574602127075},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1729567050933838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16600754857063293},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11392408609390259}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.8722667694091797},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.7901023626327515},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.7359557151794434},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.7353972792625427},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.7284272909164429},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.7197585105895996},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6595869660377502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6360266208648682},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6026093363761902},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5525727272033691},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5074571967124939},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5056979656219482},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5007233619689941},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4093155562877655},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39519983530044556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3310021162033081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23786574602127075},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1729567050933838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16600754857063293},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11392408609390259},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/anzcc.2017.8298495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/anzcc.2017.8298495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Australian and New Zealand Control Conference (ANZCC)","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/W130798595","https://openalex.org/W1522531528","https://openalex.org/W1643218028","https://openalex.org/W1980516134","https://openalex.org/W2002788332","https://openalex.org/W2005902667","https://openalex.org/W2012514019","https://openalex.org/W2019826771","https://openalex.org/W2050593112","https://openalex.org/W2082094090","https://openalex.org/W2102316513","https://openalex.org/W2121156749","https://openalex.org/W2126682207","https://openalex.org/W2165676571","https://openalex.org/W2173931892","https://openalex.org/W2484646121","https://openalex.org/W2957010402","https://openalex.org/W2963197062","https://openalex.org/W2997572556","https://openalex.org/W3206777520","https://openalex.org/W6653121221"],"related_works":["https://openalex.org/W3777868","https://openalex.org/W3102707439","https://openalex.org/W2526478698","https://openalex.org/W4294558370","https://openalex.org/W2007152535","https://openalex.org/W2051766198","https://openalex.org/W1990910969","https://openalex.org/W4390877976","https://openalex.org/W2915806395","https://openalex.org/W2726381554"],"abstract_inverted_index":{"The":[0,75,92],"optimal":[1],"linear":[2,46,144],"quadratic":[3,47,145],"controller":[4,76],"is":[5,17,27,42,77,98,127],"usually":[6],"designed":[7],"based":[8,111],"on":[9,112],"a":[10,68,72,84,90,108,120],"Riccati":[11,16,86],"equation.":[12,125],"However,":[13],"when":[14],"the":[15,19,38,45,57,60,80,96,101,105,113,117,130,138,142],"irregular,":[18],"problem":[20,49,97],"becomes":[21],"much":[22],"more":[23],"difficult":[24],"since":[25],"it":[26],"not":[28],"clear":[29],"what":[30],"tools":[31],"should":[32],"be":[33,64,134],"applied":[34,135],"instead":[35],"to":[36,94,99,136],"design":[37],"controller.":[39],"This":[40],"paper":[41],"concerned":[43],"with":[44,89],"control":[48,62,140],"governed":[50],"by":[51,67],"continuous-time":[52],"system.":[53],"We":[54],"show":[55],"that":[56,129],"solvability":[58,103],"of":[59,107,119],"open-loop":[61,102],"can":[63,133],"fully":[65],"depicted":[66],"Gramian":[69,81],"matrix":[70,82],"and":[71,83,116,122,141],"specified":[73],"matrix.":[74],"given":[78],"via":[79],"standard":[85],"equation":[87,110],"associated":[88],"subsystem.":[91],"key":[93],"solve":[95,137],"convert":[100],"into":[104],"controllability":[106],"differential":[109,124],"maximum":[114],"principle":[115],"solution":[118],"forward":[121],"backward":[123],"It":[126],"noted":[128],"derived":[131],"results":[132],"closed-loop":[139],"stochastic":[143],"control.":[146]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}