{"id":"https://openalex.org/W3191306169","doi":"https://doi.org/10.1109/access.2021.3101211","title":"Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems","display_name":"Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3191306169","doi":"https://doi.org/10.1109/access.2021.3101211","mag":"3191306169"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3101211","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3101211","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09502101.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09502101.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100349490","display_name":"Lei Liu","orcid":"https://orcid.org/0000-0001-7225-6206"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Liu","raw_affiliation_strings":["Beijing Key Laboratory of Fieldbus Technology and Automation, North China University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Fieldbus Technology and Automation, North China University of Technology, Beijing, China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073979293","display_name":"Shaofan Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaofan Feng","raw_affiliation_strings":["Beijing Key Laboratory of Fieldbus Technology and Automation, North China University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Fieldbus Technology and Automation, North China University of Technology, Beijing, China","institution_ids":["https://openalex.org/I1456306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100349490"],"corresponding_institution_ids":["https://openalex.org/I1456306"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10135159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"108340","last_page":"108345"},"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":0.9961000084877014,"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":0.9961000084877014,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9879999756813049,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9739000201225281,"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/control-theory","display_name":"Control theory (sociology)","score":0.7461245059967041},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6674354076385498},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5946933031082153},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.584538459777832},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5264597535133362},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5129644274711609},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5123645067214966},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.505455493927002},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4875478148460388},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47971075773239136},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.47725316882133484},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4624045491218567},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4504368305206299},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4455026686191559},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.44055506587028503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43084388971328735},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42935553193092346},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42577916383743286},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.39934855699539185},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.338811457157135},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11057135462760925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08981287479400635}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7461245059967041},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6674354076385498},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5946933031082153},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.584538459777832},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5264597535133362},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5129644274711609},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5123645067214966},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.505455493927002},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4875478148460388},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47971075773239136},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.47725316882133484},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4624045491218567},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4504368305206299},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4455026686191559},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44055506587028503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43084388971328735},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42935553193092346},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42577916383743286},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.39934855699539185},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.338811457157135},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11057135462760925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08981287479400635},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3101211","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3101211","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09502101.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bb139b1d7de946ea85f4367e732e28c7","is_oa":true,"landing_page_url":"https://doaj.org/article/bb139b1d7de946ea85f4367e732e28c7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 108340-108345 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3101211","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3101211","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09502101.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1826563027","display_name":null,"funder_award_id":"61473002","funder_id":"https://openalex.org/F4320325862","funder_display_name":"North China University of Technology"},{"id":"https://openalex.org/G1971249060","display_name":null,"funder_award_id":"61473002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2723728440","display_name":null,"funder_award_id":"61573024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5842886541","display_name":null,"funder_award_id":"110052971921/030","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7608752429","display_name":null,"funder_award_id":"Talent","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325862","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3191306169.pdf","grobid_xml":"https://content.openalex.org/works/W3191306169.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1493660977","https://openalex.org/W2099775999","https://openalex.org/W2519144068","https://openalex.org/W2807952247","https://openalex.org/W2968083060","https://openalex.org/W2980071535","https://openalex.org/W2994023946","https://openalex.org/W3005728440","https://openalex.org/W3098885649","https://openalex.org/W3112533612","https://openalex.org/W3129115880","https://openalex.org/W3136855183","https://openalex.org/W4235184494","https://openalex.org/W6771683369"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W2115005925","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1986869206","https://openalex.org/W2155614410"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,14,24,29,35,52,56,65,68,80,84,92,104,109],"passive":[4,71],"multi-objective":[5,72],"optimal":[6,93],"control":[7,94,110],"of":[8,28,37,108],"uncertain":[9],"singularly":[10],"perturbed":[11],"systems.":[12],"First,":[13],"uncertainty":[15],"is":[16,31,61,74,100],"described":[17],"in":[18],"a":[19,44,97],"norm-bounded":[20],"way,":[21],"and":[22,79,83,106],"then":[23],"state":[25,77],"space":[26],"model":[27],"system":[30,57],"determined.":[32],"Further":[33],"time,":[34],"problem":[36],"passivity":[38],"can":[39],"also":[40],"be":[41],"transformed":[42],"into":[43],"linear":[45],"quadratic":[46],"performance":[47,86],"index":[48,87],"problem.":[49],"According":[50],"to":[51,102],"Lyapunov":[53],"stability":[54,59],"theory,":[55],"robust":[58],"criterion":[60],"derived,":[62],"based":[63,90],"on":[64,91],"above":[66],"conclusion,":[67],"corresponding":[69],"parameterized":[70],"controller":[73],"designed":[75],"using":[76],"feedback,":[78],"weight":[81],"matrix":[82],"minimum":[85],"are":[88],"solved":[89],"theory.":[95],"Finally,":[96],"numerical":[98],"example":[99],"given":[101],"illustrate":[103],"correctness":[105],"feasibility":[107],"method.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}