{"id":"https://openalex.org/W2157484551","doi":"https://doi.org/10.1109/acc.2007.4282260","title":"Further Result on Input-to-State Stabilization of Dynamic Neural Network Systems","display_name":"Further Result on Input-to-State Stabilization of Dynamic Neural Network Systems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2157484551","doi":"https://doi.org/10.1109/acc.2007.4282260","mag":"2157484551"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282260","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282260","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-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/A5088441323","display_name":"Ziqian Liu","orcid":"https://orcid.org/0009-0004-5328-8906"},"institutions":[{"id":"https://openalex.org/I72580370","display_name":"Ingersoll Rand (United States)","ror":"https://ror.org/006s9y688","country_code":"US","type":"company","lineage":["https://openalex.org/I72580370"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ziqian Liu","raw_affiliation_strings":["Ingersoll-Rand Company Limited, USA"],"affiliations":[{"raw_affiliation_string":"Ingersoll-Rand Company Limited, USA","institution_ids":["https://openalex.org/I72580370"]}]},{"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":["Hefei University of Technology, China"],"affiliations":[{"raw_affiliation_string":"Hefei University of Technology, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088441323"],"corresponding_institution_ids":["https://openalex.org/I72580370"],"apc_list":null,"apc_paid":null,"fwci":1.1859,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79941387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":null,"first_page":"4798","last_page":"4803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.996999979019165,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6955616474151611},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6199232339859009},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6021230220794678},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5721476078033447},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5657856464385986},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5593610405921936},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5455800890922546},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48177263140678406},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47298821806907654},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4295181632041931},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3567127287387848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2947729527950287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20541509985923767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1814618706703186},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14186576008796692},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10213923454284668},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06489032506942749}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6955616474151611},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6199232339859009},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6021230220794678},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5721476078033447},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5657856464385986},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5593610405921936},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5455800890922546},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48177263140678406},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47298821806907654},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4295181632041931},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3567127287387848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2947729527950287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20541509985923767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1814618706703186},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14186576008796692},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10213923454284668},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06489032506942749},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282260","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282260","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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":11,"referenced_works":["https://openalex.org/W1486180766","https://openalex.org/W1548148540","https://openalex.org/W1595624752","https://openalex.org/W2009705542","https://openalex.org/W2036138105","https://openalex.org/W2090167557","https://openalex.org/W2115129628","https://openalex.org/W2139213541","https://openalex.org/W2169866237","https://openalex.org/W3103897353","https://openalex.org/W6673047230"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2142048021","https://openalex.org/W2134075948","https://openalex.org/W2383529437","https://openalex.org/W1790223069","https://openalex.org/W2391251536","https://openalex.org/W2081245100","https://openalex.org/W2362198218","https://openalex.org/W1973113296"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"approach":[4],"for":[5,43],"input-to-":[6],"state":[7],"stabilization":[8,45],"of":[9,25,30,46,49,60,88],"dynamic":[10,50],"neural":[11,51],"networks,":[12],"which":[13],"extends":[14],"the":[15,19,28,58,64,86,89],"existing":[16],"result":[17],"in":[18],"literature":[20],"to":[21,38,77],"a":[22,35,40,47,55,78],"wider":[23],"class":[24,48],"systems.":[26],"With":[27],"help":[29],"Sontag's":[31],"formula,":[32],"we":[33],"create":[34],"scalar":[36],"function":[37],"develop":[39],"new":[41],"methodology":[42],"input-to-state":[44],"network":[52],"systems":[53],"without":[54],"restriction":[56],"on":[57],"number":[59],"inputs.":[61],"In":[62],"addition,":[63],"proposed":[65],"design":[66],"achieves":[67],"global":[68,72],"asymptotic":[69],"stability":[70],"and":[71],"inverse":[73],"optimality":[74],"with":[75],"respect":[76],"meaningful":[79],"cost":[80],"functional.":[81],"A":[82],"numerical":[83],"example":[84],"demonstrates":[85],"performance":[87],"approach.":[90]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}