{"id":"https://openalex.org/W3041196969","doi":"https://doi.org/10.1109/tsmc.2020.3003545","title":"Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems","display_name":"Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems","publication_year":2020,"publication_date":"2020-07-07","ids":{"openalex":"https://openalex.org/W3041196969","doi":"https://doi.org/10.1109/tsmc.2020.3003545","mag":"3041196969"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2020.3003545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3003545","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Systems, Man, and Cybernetics: Systems","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/A5090441149","display_name":"Xin Yang","orcid":"https://orcid.org/0000-0001-7330-4820"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Yang","raw_affiliation_strings":["Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","School of Mathematical Science, Heilongjiang University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-7330-4820","affiliations":[{"raw_affiliation_string":"Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101818527","display_name":"Yantao Wang","orcid":"https://orcid.org/0000-0001-5107-4585"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yantao Wang","raw_affiliation_strings":["Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","School of Mathematical Science, Heilongjiang University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101841009","display_name":"Xian Zhang","orcid":"https://orcid.org/0000-0001-7023-7351"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian Zhang","raw_affiliation_strings":["Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","School of Mathematical Science, Heilongjiang University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-7023-7351","affiliations":[{"raw_affiliation_string":"Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":null,"apc_paid":null,"fwci":1.1662,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.7814455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"52","issue":"1","first_page":"554","last_page":"560"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9980000257492065,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/control-theory","display_name":"Control theory (sociology)","score":0.6386786103248596},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6342117190361023},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5926005244255066},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5527929067611694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5397331118583679},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5220106244087219},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.43783196806907654},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4374489188194275},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4356154501438141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3871043920516968},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3546842932701111},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2839122712612152}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6386786103248596},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6342117190361023},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5926005244255066},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5527929067611694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5397331118583679},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5220106244087219},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.43783196806907654},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4374489188194275},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4356154501438141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3871043920516968},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3546842932701111},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2839122712612152},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2020.3003545","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3003545","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6675606723","display_name":null,"funder_award_id":"LH2019F030","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G7357495258","display_name":"\u5e26\u65f6\u95f4\u76f8\u5173\u566a\u58f0\u591a\u4f20\u611f\u5668\u7f51\u7edc\u5316\u7cfb\u7edf\u7684\u5206\u5e03\u5f0f\u878d\u5408\u4f30\u8ba1\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61873087","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7713172333","display_name":null,"funder_award_id":"61803197","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/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1735708642","https://openalex.org/W1977811695","https://openalex.org/W2002684146","https://openalex.org/W2017257856","https://openalex.org/W2018135576","https://openalex.org/W2032494676","https://openalex.org/W2051244054","https://openalex.org/W2060010259","https://openalex.org/W2099285706","https://openalex.org/W2105247516","https://openalex.org/W2133385019","https://openalex.org/W2415861190","https://openalex.org/W2476873013","https://openalex.org/W2596332081","https://openalex.org/W2620990005","https://openalex.org/W2746457951","https://openalex.org/W2775534406","https://openalex.org/W2792409062","https://openalex.org/W2794829202","https://openalex.org/W2797189006","https://openalex.org/W2805956403","https://openalex.org/W2891407037","https://openalex.org/W2898302534","https://openalex.org/W2902687634","https://openalex.org/W2909894617","https://openalex.org/W2915507649","https://openalex.org/W2916955047","https://openalex.org/W2921881515","https://openalex.org/W2928566175","https://openalex.org/W2946202198","https://openalex.org/W2949529624","https://openalex.org/W2952303885","https://openalex.org/W2964327556","https://openalex.org/W2971873793","https://openalex.org/W2972264082","https://openalex.org/W2979301257","https://openalex.org/W2996111440","https://openalex.org/W3004574133","https://openalex.org/W3035223657","https://openalex.org/W4293087381"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W4251298892","https://openalex.org/W2356013541","https://openalex.org/W4300101996","https://openalex.org/W2385444679","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W3133868776"],"abstract_inverted_index":{"This":[0],"article":[1],"involves":[2],"the":[3,23,54,69,81,92,95],"problems":[4],"of":[5,14,25,57,72,84,94],"stabilization":[6,26,85],"and":[7,28,87],"guaranteed":[8,29,88],"cost":[9,30,89],"control":[10],"for":[11,22],"a":[12,36],"class":[13],"delayed":[15],"continuous-time":[16],"nonlinear":[17],"systems.":[18],"The":[19],"sufficient":[20],"conditions":[21,43],"existence":[24],"controllers":[27,31,86],"are":[32,61,77],"investigated":[33],"by":[34,48,103],"constructing":[35],"new":[37],"Lyapunov":[38,97],"matrix-based":[39,98],"Lyapunov\u2013Krasovskii":[40],"functional.":[41],"These":[42],"can":[44],"be":[45],"easily":[46],"verified":[47],"using":[49],"standard":[50],"compute":[51],"software":[52],"(e.g.,":[53],"toolbox":[55],"YALMIP":[56],"MATLAB),":[58],"since":[59],"they":[60],"expressed":[62],"as":[63],"simple":[64],"linear":[65,74],"matrix":[66,75],"inequalities.":[67],"Furthermore,":[68],"feasible":[70],"solutions":[71],"these":[73],"inequalities":[76],"used":[78],"to":[79],"describe":[80],"explicit":[82],"forms":[83],"controllers.":[90],"Finally,":[91],"validity":[93],"proposed":[96],"LKF":[99],"method":[100],"is":[101],"tested":[102],"two":[104],"numerical":[105],"examples.":[106]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2022,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}