{"id":"https://openalex.org/W2781741829","doi":"https://doi.org/10.1137/16m1073820","title":"Control for a Class of Second-Order Systems via a State-Dependent Riccati Equation Approach","display_name":"Control for a Class of Second-Order Systems via a State-Dependent Riccati Equation Approach","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2781741829","doi":"https://doi.org/10.1137/16m1073820","mag":"2781741829"},"language":"en","primary_location":{"id":"doi:10.1137/16m1073820","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073820","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/scopus2015/7331","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089628474","display_name":"Li-Gang Lin","orcid":"https://orcid.org/0000-0001-5732-9964"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li-Gang Lin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113498632","display_name":"Yew-Wen Liang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yew-Wen Liang","raw_affiliation_strings":["NATIONAL YANG MING CHIAO TUNG UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NATIONAL YANG MING CHIAO TUNG UNIVERSITY","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113628711","display_name":"Li-Jen Cheng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li-Jen Cheng","raw_affiliation_strings":["Moxa Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moxa Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3113,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"56","issue":"1","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.8567886352539062},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.7410987615585327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7322282791137695},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7317487597465515},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5346367359161377},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.531775951385498},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5303018093109131},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5195487141609192},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4780312478542328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4579535722732544},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4567270874977112},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.43521246314048767},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4219783842563629},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3264951705932617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18411120772361755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15299060940742493},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1286357045173645},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08733344078063965},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06628561019897461}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.8567886352539062},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.7410987615585327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7322282791137695},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7317487597465515},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5346367359161377},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.531775951385498},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5303018093109131},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5195487141609192},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4780312478542328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4579535722732544},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4567270874977112},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43521246314048767},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4219783842563629},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3264951705932617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18411120772361755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15299060940742493},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1286357045173645},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08733344078063965},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06628561019897461},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1073820","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073820","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8330","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7331","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8330","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7331","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3305523916","display_name":null,"funder_award_id":"105-2917-I-564-045","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G3701880620","display_name":null,"funder_award_id":"102-2221-E-009-063","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G7021521457","display_name":null,"funder_award_id":"104-2221-E-009-075","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G868269323","display_name":null,"funder_award_id":"103-2221-E-009-055","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1581032829","https://openalex.org/W1616734300","https://openalex.org/W1981020261","https://openalex.org/W1986277658","https://openalex.org/W1988580414","https://openalex.org/W2013415232","https://openalex.org/W2017792809","https://openalex.org/W2041076275","https://openalex.org/W2047397174","https://openalex.org/W2056300644","https://openalex.org/W2056583404","https://openalex.org/W2068611009","https://openalex.org/W2089932702","https://openalex.org/W2097002402","https://openalex.org/W2118741873","https://openalex.org/W2128218822","https://openalex.org/W2129863797","https://openalex.org/W2133858724","https://openalex.org/W2138324492","https://openalex.org/W2147017478","https://openalex.org/W2150318785"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W2127238600","https://openalex.org/W1563296412","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433","https://openalex.org/W2096105566"],"abstract_inverted_index":{"This":[0],"study":[1],"investigates":[2],"the":[3,19,27,36,42,57,63,75,80,85,91,97,107,114,136,150,153],"state-dependent":[4,29],"Riccati":[5],"equation":[6],"(SDRE)":[7],"controller":[8],"for":[9],"a":[10,47],"class":[11],"of":[12,22,38,69,93,100,152],"second-order":[13,115],"nonlinear":[14],"systems.":[15],"By":[16],"fully":[17],"exploiting":[18],"design":[20,98],"degree":[21],"freedom":[23],"(DOF)":[24],"arising":[25],"from":[26,130],"nonunique":[28],"coefficient":[30],"(SDC)":[31],"matrices,":[32],"we":[33,53],"explicitly":[34,55,143],"calculate":[35],"ranges":[37],"control":[39,49,65,94],"input":[40,50,95],"via":[41],"SDRE":[43,132],"scheme.":[44,81],"Moreover,":[45],"when":[46],"permissible":[48],"is":[51,84,111],"determined,":[52],"also":[54,142],"parameterize":[56],"SDC":[58,101,139],"matrices":[59,127,140],"that":[60,89,113],"result":[61,88],"in":[62,67],"designated":[64],"value,":[66],"terms":[68],"system":[70],"states":[71],"and":[72,135],"parameters,":[73],"so":[74],"engineer":[76],"can":[77],"easily":[78],"implement":[79],"Notably,":[82],"this":[83],"first":[86],"analytical":[87,108,154],"explores":[90],"range":[92],"using":[96],"DOF":[99],"matrices.":[102],"In":[103],"addition,":[104],"by":[105],"applying":[106],"results,":[109],"it":[110],"shown":[112],"systems":[116],"are":[117,141],"always":[118],"globally":[119],"stabilizable,":[120],"without":[121],"any":[122],"supplementary":[123],"assumptions":[124],"on":[125],"weighting":[126],"(as":[128],"extended":[129],"existing":[131],"global":[133],"results),":[134],"corresponding":[137],"stabilizing":[138],"presented.":[144],"Finally,":[145],"illustrative":[146],"examples":[147],"clearly":[148],"demonstrate":[149],"benefits":[151],"results.":[155]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
