{"id":"https://openalex.org/W3094992824","doi":"https://doi.org/10.1080/00207179.2020.1836404","title":"An improved -gain analysis method of nonlinear delay systems and its application to delayed neural networks","display_name":"An improved -gain analysis method of nonlinear delay systems and its application to delayed neural networks","publication_year":2020,"publication_date":"2020-10-14","ids":{"openalex":"https://openalex.org/W3094992824","doi":"https://doi.org/10.1080/00207179.2020.1836404","mag":"3094992824"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2020.1836404","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1836404","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5100342404","display_name":"Xu Li","orcid":"https://orcid.org/0000-0001-5027-3419"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Li","raw_affiliation_strings":["Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-5027-3419","affiliations":[{"raw_affiliation_string":"Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115602439","display_name":"Haibo Liu","orcid":"https://orcid.org/0000-0002-4213-2883"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibo Liu","raw_affiliation_strings":["Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115596433","display_name":"Kuo Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kuo Liu","raw_affiliation_strings":["Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090869458","display_name":"Qile Bo","orcid":"https://orcid.org/0000-0002-7841-3302"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qile Bo","raw_affiliation_strings":["Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-7841-3302","affiliations":[{"raw_affiliation_string":"Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107143533","display_name":"Yongqing Wang","orcid":"https://orcid.org/0000-0002-4679-0760"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongqing Wang","raw_affiliation_strings":["Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5115602439"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":null,"apc_paid":null,"fwci":0.1546,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53637447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"95","issue":"4","first_page":"1021","last_page":"1031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9976000189781189,"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":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.717601478099823},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6243257522583008},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6225057244300842},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6105344295501709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47852954268455505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43024319410324097},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.42147183418273926},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17999812960624695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1155305802822113}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.717601478099823},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6243257522583008},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6225057244300842},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6105344295501709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47852954268455505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43024319410324097},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.42147183418273926},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17999812960624695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1155305802822113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2020.1836404","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1836404","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3500479748","display_name":null,"funder_award_id":"2019M651114","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G4407540677","display_name":null,"funder_award_id":"51975093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5380741468","display_name":null,"funder_award_id":"TZ2018006-0101-03","funder_id":"https://openalex.org/F4320336025","funder_display_name":"Science Challenge Project"},{"id":"https://openalex.org/G5770622036","display_name":null,"funder_award_id":"T2017030","funder_id":"https://openalex.org/F4320335000","funder_display_name":"Changjiang Scholar Program of Chinese Ministry of Education"},{"id":"https://openalex.org/G8281842534","display_name":null,"funder_award_id":"51775085","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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335000","display_name":"Changjiang Scholar Program of Chinese Ministry of Education","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320336025","display_name":"Science Challenge Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1263167082","https://openalex.org/W1506119886","https://openalex.org/W1963636353","https://openalex.org/W1971186708","https://openalex.org/W1986582332","https://openalex.org/W1988098342","https://openalex.org/W1999808555","https://openalex.org/W2004896542","https://openalex.org/W2005175167","https://openalex.org/W2031673504","https://openalex.org/W2037145676","https://openalex.org/W2038641684","https://openalex.org/W2103774239","https://openalex.org/W2105224014","https://openalex.org/W2129546905","https://openalex.org/W2145963278","https://openalex.org/W2161534096","https://openalex.org/W2580137831","https://openalex.org/W2790587475","https://openalex.org/W4240729697"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2160609742","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2979526210","https://openalex.org/W2004736176","https://openalex.org/W1997414638","https://openalex.org/W2031091109"],"abstract_inverted_index":{"The":[0],"Lyapunov\u2013Krasovskii":[1,45],"functional":[2,46],"(LKF)":[3],"method":[4,21,41,48,107],"is":[5,29,49,57,66,100,108],"widely":[6],"used":[7],"to":[8,18,51,102],"derive":[9],"L2-gain":[10,26,39,87],"analysis":[11,27,40,88],"criteria":[12,28,89],"of":[13,82,90],"delay":[14,73,77],"systems.":[15],"Nevertheless,":[16],"how":[17],"improve":[19],"the":[20,53,61,80,83,105,112],"for":[22,68],"obtaining":[23],"less":[24],"conservative":[25],"still":[30],"an":[31,37],"open":[32],"problem.":[33],"In":[34],"this":[35],"paper,":[36],"improved":[38],"called":[42],"a":[43,64,69,72,76,97],"delay-mode-based":[44],"(DMBLKF)":[47],"proposed":[50],"replace":[52],"LKF":[54,65,113],"method.":[55,114],"This":[56],"achieved":[58],"by":[59],"weakening":[60],"condition":[62],"that":[63,104],"required":[67],"system":[70],"with":[71],"varying":[74],"in":[75],"interval.":[78],"With":[79],"help":[81],"DMBLKF":[84,106],"method,":[85],"new":[86],"delayed":[91],"neural":[92],"networks":[93],"are":[94],"obtained":[95],"and":[96],"numerical":[98],"example":[99],"given":[101],"show":[103],"more":[109],"effective":[110],"than":[111]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}