{"id":"https://openalex.org/W4401473557","doi":"https://doi.org/10.1007/s11063-024-11628-7","title":"Improved Stability Analysis of Neural Networks with Time Delay Based on Variable Augmented Free Weight Matrix","display_name":"Improved Stability Analysis of Neural Networks with Time Delay Based on Variable Augmented Free Weight Matrix","publication_year":2024,"publication_date":"2024-08-09","ids":{"openalex":"https://openalex.org/W4401473557","doi":"https://doi.org/10.1007/s11063-024-11628-7"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-024-11628-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11628-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11628-7.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11628-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100654162","display_name":"Fudong Li","orcid":"https://orcid.org/0000-0003-4829-5250"},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FuDong Li","raw_affiliation_strings":["Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100678496","display_name":"Wei Xie","orcid":"https://orcid.org/0000-0002-7840-5652"},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Xie","raw_affiliation_strings":["Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108875107","display_name":"WeiYi Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I108904480","display_name":"Shenyang Institute of Engineering","ror":"https://ror.org/02pfsj857","country_code":"CN","type":"education","lineage":["https://openalex.org/I108904480"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WeiYi Zhu","raw_affiliation_strings":["International Education, Shenyang Institute of Engineering, Puchang Road, Shenbei New District, Shenyang, 110136, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Education, Shenyang Institute of Engineering, Puchang Road, Shenbei New District, Shenyang, 110136, China","institution_ids":["https://openalex.org/I108904480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111286364","display_name":"Zonghao Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZongHao Shi","raw_affiliation_strings":["Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Electrical Engineering School, Beijing Information Science and Technology University, Xiaoying East Road, Beijing, 100085, Beijing, China","institution_ids":["https://openalex.org/I78675632"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100678496"],"corresponding_institution_ids":["https://openalex.org/I78675632"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.4332,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63120225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"56","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9980000257492065,"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":0.9980000257492065,"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/T10320","display_name":"Neural Networks and Applications","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9950000047683716,"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/computational-intelligence","display_name":"Computational intelligence","score":0.7419010400772095},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6349059343338013},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.599412739276886},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.587194561958313},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4794256091117859},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.43092456459999084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41078007221221924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41022735834121704},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3936030864715576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22680824995040894},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1118495762348175},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10791236162185669},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10386759042739868}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7419010400772095},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6349059343338013},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.599412739276886},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.587194561958313},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4794256091117859},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.43092456459999084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41078007221221924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41022735834121704},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3936030864715576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22680824995040894},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1118495762348175},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10791236162185669},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10386759042739868},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-024-11628-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11628-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11628-7.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11063-024-11628-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-024-11628-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-024-11628-7.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401473557.pdf","grobid_xml":"https://content.openalex.org/works/W4401473557.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W325253995","https://openalex.org/W1547514605","https://openalex.org/W1891833740","https://openalex.org/W1963839355","https://openalex.org/W1981673401","https://openalex.org/W1986582332","https://openalex.org/W1995007479","https://openalex.org/W2008421196","https://openalex.org/W2016562720","https://openalex.org/W2017008592","https://openalex.org/W2037378252","https://openalex.org/W2051591980","https://openalex.org/W2054534795","https://openalex.org/W2062564145","https://openalex.org/W2121615270","https://openalex.org/W2131406112","https://openalex.org/W2144795039","https://openalex.org/W2194523473","https://openalex.org/W2524033476","https://openalex.org/W2557903677","https://openalex.org/W2910456719","https://openalex.org/W2968918250","https://openalex.org/W3010887263","https://openalex.org/W3045873373","https://openalex.org/W3115989238","https://openalex.org/W3118997808","https://openalex.org/W3165729882","https://openalex.org/W4220744722","https://openalex.org/W4283069009","https://openalex.org/W4311718418","https://openalex.org/W4385142833","https://openalex.org/W4387247605"],"related_works":["https://openalex.org/W2736674626","https://openalex.org/W2973875853","https://openalex.org/W1987895166","https://openalex.org/W2947662349","https://openalex.org/W3018365851","https://openalex.org/W4295529468","https://openalex.org/W3207484021","https://openalex.org/W4225150523","https://openalex.org/W2384495009","https://openalex.org/W4384557449"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"investigates":[3],"the":[4,12,18,23,30,88],"stability":[5,24,34,74],"of":[6,20,25,33,90],"time-delay":[7],"neural":[8,27,53,80],"network":[9,28,54,81],"system":[10],"by":[11],"free-weighting":[13,45,67],"matrices":[14,60,68],"based":[15],"on":[16],"variable-augmentation.In":[17],"process":[19],"accurately":[21],"evaluating":[22],"delayed":[26,52],"systems,":[29,55],"conservative":[31],"simplification":[32],"criteria":[35],"has":[36],"received":[37],"widespread":[38],"attention.":[39],"In":[40],"this":[41,91],"paper,":[42],"a":[43,78],"variable-augmented-based":[44],"matrix":[46],"method":[47],"is":[48],"applied":[49],"to":[50,86],"time-varying":[51],"and":[56,75],"unnecessary":[57],"free":[58],"weighting":[59],"are":[61,69],"removed.":[62],"Some":[63],"results":[64],"with":[65],"fewer":[66],"obtained,":[70],"while":[71],"maintaining":[72],"their":[73],"conservatism.":[76],"Finally,":[77],"specific":[79],"numerical":[82],"example":[83],"was":[84],"used":[85],"demonstrate":[87],"effectiveness":[89],"method.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
