{"id":"https://openalex.org/W2744439937","doi":"https://doi.org/10.1109/tnnls.2017.2729588","title":"Synchronizing Neural Networks With Proportional Delays Based on a Class of $q$-Type Allowable Time Scales","display_name":"Synchronizing Neural Networks With Proportional Delays Based on a Class of $q$-Type Allowable Time Scales","publication_year":2017,"publication_date":"2017-08-08","ids":{"openalex":"https://openalex.org/W2744439937","doi":"https://doi.org/10.1109/tnnls.2017.2729588","mag":"2744439937","pmid":"https://pubmed.ncbi.nlm.nih.gov/28796624"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2017.2729588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2729588","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5011675306","display_name":"Zhenkun Huang","orcid":"https://orcid.org/0000-0001-7284-5633"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenkun Huang","raw_affiliation_strings":["School of Sciences, Jimei University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0001-7284-5633","affiliations":[{"raw_affiliation_string":"School of Sciences, Jimei University, Xiamen, China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079402440","display_name":"Honghua Bin","orcid":"https://orcid.org/0000-0001-5385-178X"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Honghua Bin","raw_affiliation_strings":["School of Sciences, Jimei University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, Jimei University, Xiamen, China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008565888","display_name":"Boyu Wang","orcid":"https://orcid.org/0000-0002-2333-2089"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Boyu Wang","raw_affiliation_strings":["School of Sciences, Jimei University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, Jimei University, Xiamen, China","institution_ids":["https://openalex.org/I161346416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9968,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.94542645,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"8","first_page":"3418","last_page":"3428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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":1.0,"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":0.996399998664856,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.9045131206512451},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7306910753250122},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7100193500518799},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6184706091880798},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6162872314453125},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5794194936752319},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5374135971069336},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.5246401429176331},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5069208741188049},{"id":"https://openalex.org/keywords/intermittent-control","display_name":"Intermittent control","score":0.47764885425567627},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.47475412487983704},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4599240720272064},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.367387980222702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32319340109825134},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17105484008789062},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.16238689422607422},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1549680233001709},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07672983407974243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07648557424545288}],"concepts":[{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.9045131206512451},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7306910753250122},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7100193500518799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6184706091880798},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6162872314453125},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5794194936752319},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5374135971069336},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.5246401429176331},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5069208741188049},{"id":"https://openalex.org/C2778179450","wikidata":"https://www.wikidata.org/wiki/Q17146472","display_name":"Intermittent control","level":2,"score":0.47764885425567627},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.47475412487983704},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4599240720272064},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.367387980222702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32319340109825134},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17105484008789062},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.16238689422607422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1549680233001709},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07672983407974243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07648557424545288},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2017.2729588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2729588","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:28796624","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28796624","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G203014753","display_name":null,"funder_award_id":"61573005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2471889311","display_name":null,"funder_award_id":"61272530","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G795513280","display_name":"\u65f6\u6ede\u8109\u51b2\u65b9\u7a0b\u5468\u671f\u89e3\u548c\u6982\u5468\u671f\u89e3\u7814\u7a76","funder_award_id":"11361010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8228501484","display_name":null,"funder_award_id":"61573096","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W316591544","https://openalex.org/W616418331","https://openalex.org/W1269377745","https://openalex.org/W1522419168","https://openalex.org/W1581492247","https://openalex.org/W1876515424","https://openalex.org/W1966114198","https://openalex.org/W1970442252","https://openalex.org/W1973380031","https://openalex.org/W2006458154","https://openalex.org/W2031164147","https://openalex.org/W2031921956","https://openalex.org/W2032423690","https://openalex.org/W2050122455","https://openalex.org/W2055205829","https://openalex.org/W2059502975","https://openalex.org/W2061143386","https://openalex.org/W2062274972","https://openalex.org/W2083827042","https://openalex.org/W2084077499","https://openalex.org/W2092291194","https://openalex.org/W2093803598","https://openalex.org/W2098203133","https://openalex.org/W2100071276","https://openalex.org/W2107084183","https://openalex.org/W2110829009","https://openalex.org/W2127867266","https://openalex.org/W2143348717","https://openalex.org/W2149680857","https://openalex.org/W2169421521","https://openalex.org/W2180099305","https://openalex.org/W2187841644","https://openalex.org/W2192849918","https://openalex.org/W2212674942","https://openalex.org/W2267294311","https://openalex.org/W2282921553","https://openalex.org/W2283365629","https://openalex.org/W2309551618","https://openalex.org/W2329850863","https://openalex.org/W2475538231","https://openalex.org/W3124194701","https://openalex.org/W4285719527","https://openalex.org/W6687222859"],"related_works":["https://openalex.org/W2116519977","https://openalex.org/W2315567295","https://openalex.org/W1981446230","https://openalex.org/W2365128652","https://openalex.org/W2356659732","https://openalex.org/W1581301957","https://openalex.org/W3202423486","https://openalex.org/W2356421920","https://openalex.org/W2107002852","https://openalex.org/W4231269085"],"abstract_inverted_index":{"Without":[0],"confines":[1],"of":[2,12,18,38,72,113],"the":[3,16,84,96,111,114],"continuous-time":[4],"domain,":[5],"this":[6],"paper":[7],"addresses":[8],"synchronization":[9,53,82,97],"control":[10],"problem":[11],"neural":[13],"networks":[14,85],"in":[15],"face":[17],"multiple":[19],"proportional":[20,31,87],"delays":[21,32],"on":[22,43,55,59,99],"general":[23,100],"time":[24,41,60,74,102],"scales.":[25],"The":[26],"idea":[27],"to":[28,34,50,80,92,109],"deal":[29],"with":[30,86],"is":[33,67,76],"propose":[35],"a":[36,56],"class":[37],"-type":[39,73],"allowable":[40],"scales":[42,61,75],"which":[44],"we":[45],"design":[46],"an":[47,77],"appropriate":[48],"controller":[49],"achieve":[51],"exponential":[52],"based":[54],"calculus":[57],"theory":[58],"and":[62],"Lyapunov":[63],"function/functional":[64],"methods.":[65],"It":[66],"shown":[68],"that":[69],"adopting":[70],"properties":[71],"effective":[78],"approach":[79],"establish":[81],"for":[83],"delays.":[88],"This":[89],"helps":[90],"us":[91],"have":[93],"insight":[94],"into":[95],"problems":[98],"intermittent":[101],"domain.":[103],"Finally,":[104],"simulation":[105],"examples":[106],"are":[107],"given":[108],"illustrate":[110],"effectiveness":[112],"theoretical":[115],"results.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-08-17T00:00:00"}