{"id":"https://openalex.org/W2126661597","doi":"https://doi.org/10.1109/tsmca.2008.2010749","title":"Global Robust Stabilizing Control for a Dynamic Neural Network System","display_name":"Global Robust Stabilizing Control for a Dynamic Neural Network System","publication_year":2009,"publication_date":"2009-01-20","ids":{"openalex":"https://openalex.org/W2126661597","doi":"https://doi.org/10.1109/tsmca.2008.2010749","mag":"2126661597"},"language":"en","primary_location":{"id":"doi:10.1109/tsmca.2008.2010749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmca.2008.2010749","pdf_url":null,"source":{"id":"https://openalex.org/S4210201610","display_name":"IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans","issn_l":"1083-4427","issn":["1083-4427","1558-2426"],"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 - Part A: Systems and Humans","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/A5101995725","display_name":"Ziqian Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I8030538","display_name":"SUNY Maritime College","ror":"https://ror.org/02d4maz67","country_code":"US","type":"education","lineage":["https://openalex.org/I8030538"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ziqian Liu","raw_affiliation_strings":["Engineering Department, Maritime College, State University of New York, NY, USA","Maritime Coll., Eng. Dept., State Univ. of New York, Throggs Neck, NY, USA"],"affiliations":[{"raw_affiliation_string":"Engineering Department, Maritime College, State University of New York, NY, USA","institution_ids":["https://openalex.org/I8030538"]},{"raw_affiliation_string":"Maritime Coll., Eng. Dept., State Univ. of New York, Throggs Neck, NY, USA","institution_ids":["https://openalex.org/I1327163397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108527797","display_name":"Sen-Chung Shih","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127482","display_name":"Applied Technologies (United States)","ror":"https://ror.org/03fwraz06","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127482"]},{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.C. Shih","raw_affiliation_strings":["School of Information Systems and Applied Technologies, Southem Illinois University, Carbondale, Carbondale, IL, USA","School of Information Systems and Applied Technologies, Southern Illinois University Carbondale, Carbondale, IL#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Information Systems and Applied Technologies, Southem Illinois University, Carbondale, Carbondale, IL, USA","institution_ids":["https://openalex.org/I110378019","https://openalex.org/I4210127482"]},{"raw_affiliation_string":"School of Information Systems and Applied Technologies, Southern Illinois University Carbondale, Carbondale, IL#TAB#","institution_ids":["https://openalex.org/I110378019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073330666","display_name":"Qunjing Wang","orcid":"https://orcid.org/0000-0002-1916-8116"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qunjing Wang","raw_affiliation_strings":["Department of Electrical Engineering, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101995725"],"corresponding_institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I8030538"],"apc_list":null,"apc_paid":null,"fwci":5.1427,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95776126,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"2","first_page":"426","last_page":"436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9987999796867371,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9987999796867371,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9970999956130981,"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/T10320","display_name":"Neural Networks and Applications","score":0.9958000183105469,"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/exponential-stability","display_name":"Exponential stability","score":0.6145198345184326},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6050283312797546},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5992282032966614},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5926666259765625},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5028685927391052},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.48654261231422424},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47368648648262024},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.460908979177475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4575757682323456},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4253690838813782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3641526401042938},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32905858755111694},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24022310972213745},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11599943041801453},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08816257119178772}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6145198345184326},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6050283312797546},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5992282032966614},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5926666259765625},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5028685927391052},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.48654261231422424},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47368648648262024},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.460908979177475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4575757682323456},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4253690838813782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3641526401042938},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32905858755111694},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24022310972213745},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11599943041801453},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08816257119178772},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/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/tsmca.2008.2010749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmca.2008.2010749","pdf_url":null,"source":{"id":"https://openalex.org/S4210201610","display_name":"IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans","issn_l":"1083-4427","issn":["1083-4427","1558-2426"],"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 - Part A: Systems and Humans","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310419","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231"},{"id":"https://openalex.org/F4320326536","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1486180766","https://openalex.org/W1548148540","https://openalex.org/W1595624752","https://openalex.org/W2026382324","https://openalex.org/W2041076275","https://openalex.org/W2090167557","https://openalex.org/W2096092852","https://openalex.org/W2103975765","https://openalex.org/W2112235088","https://openalex.org/W2112971077","https://openalex.org/W2115129628","https://openalex.org/W2134331318","https://openalex.org/W2136191664","https://openalex.org/W2139213541","https://openalex.org/W2141664682","https://openalex.org/W2143908132","https://openalex.org/W2144228390","https://openalex.org/W2151731864","https://openalex.org/W2157187769","https://openalex.org/W2157331901","https://openalex.org/W2169866237","https://openalex.org/W2486689052"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2066926363","https://openalex.org/W2354159744","https://openalex.org/W1593898832","https://openalex.org/W2142014702","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0,20],"paper":[1,44],"presents":[2],"a":[3,13,36,49,58],"new":[4],"approach":[5,21],"for":[6,57],"the":[7,32,46,70,120,123],"global":[8,90,100,104],"robust":[9],"stabilizing":[10],"control":[11,55,73,87],"of":[12,15,34,42,48,60,74,122],"class":[14,59],"dynamic":[16,61],"neural":[17,62],"network":[18,63],"systems.":[19],"is":[22,45],"developed":[23],"via":[24],"Lyapunov":[25],"stability":[26,106],"and":[27,72,103],"inverse":[28,91],"optimality,":[29],"which":[30,65],"circumvents":[31],"task":[33],"solving":[35],"Hamilton-Jacobi-Isaacs":[37],"equation.":[38],"The":[39,81],"primary":[40],"contribution":[41],"this":[43],"development":[47],"nonlinear":[50,75],"H":[51,83],"<sub":[52,84],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[53,85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">infin</sub>":[54,86],"design":[56,88],"systems,":[64],"are":[66,116],"usually":[67],"used":[68,117],"in":[69],"modeling":[71],"affine":[76],"systems":[77],"with":[78,93],"unknown":[79],"nonlinearities.":[80],"proposed":[82,124],"achieves":[89],"optimality":[92],"respect":[94],"to":[95,118],"some":[96],"meaningful":[97],"cost":[98],"functional,":[99],"disturbance":[101,110],"attenuation,":[102],"asymptotic":[105],"provided":[107],"that":[108],"no":[109],"occurs.":[111],"Finally,":[112],"four":[113],"numerical":[114],"examples":[115],"demonstrate":[119],"effectiveness":[121],"approach.":[125]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}