{"id":"https://openalex.org/W3009272099","doi":"https://doi.org/10.1109/access.2020.2978647","title":"Globally Exponential Stability and Globally Power Stability of Quaternion-Valued Neural Networks With Discrete and Distributed Delays","display_name":"Globally Exponential Stability and Globally Power Stability of Quaternion-Valued Neural Networks With Discrete and Distributed Delays","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3009272099","doi":"https://doi.org/10.1109/access.2020.2978647","mag":"3009272099"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2978647","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2978647","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09025069.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09025069.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073500692","display_name":"Huiling Duan","orcid":"https://orcid.org/0000-0003-1478-5649"},"institutions":[{"id":"https://openalex.org/I50180762","display_name":"Chongqing Three Gorges University","ror":"https://ror.org/05rs3pv16","country_code":"CN","type":"education","lineage":["https://openalex.org/I50180762"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huiling Duan","raw_affiliation_strings":["School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China","institution_ids":["https://openalex.org/I50180762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031564257","display_name":"Tao Peng","orcid":"https://orcid.org/0000-0002-9194-0940"},"institutions":[{"id":"https://openalex.org/I50180762","display_name":"Chongqing Three Gorges University","ror":"https://ror.org/05rs3pv16","country_code":"CN","type":"education","lineage":["https://openalex.org/I50180762"]},{"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":"Tao Peng","raw_affiliation_strings":["School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China","School of Mathematics, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China","institution_ids":["https://openalex.org/I50180762"]},{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085250151","display_name":"Zhengwen Tu","orcid":"https://orcid.org/0000-0003-0267-0633"},"institutions":[{"id":"https://openalex.org/I50180762","display_name":"Chongqing Three Gorges University","ror":"https://ror.org/05rs3pv16","country_code":"CN","type":"education","lineage":["https://openalex.org/I50180762"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengwen Tu","raw_affiliation_strings":["School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, China","institution_ids":["https://openalex.org/I50180762"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083193684","display_name":"Jianlong Qiu","orcid":"https://orcid.org/0000-0002-9886-3570"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianlong Qiu","raw_affiliation_strings":["Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong, Linyi University, Linyi, China","School of Automation and Electrical Engineering, Linyi University, Linyi, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong, Linyi University, Linyi, China","institution_ids":["https://openalex.org/I15823474"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, Linyi University, Linyi, China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049482611","display_name":"Jianquan Lu","orcid":"https://orcid.org/0000-0003-4423-6034"},"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":"Jianquan Lu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5073500692"],"corresponding_institution_ids":["https://openalex.org/I50180762"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6473,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71064149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"46837","last_page":"46850"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9807000160217285,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9746000170707703,"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/exponential-stability","display_name":"Exponential stability","score":0.7168893814086914},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.6891853213310242},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6153754591941833},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6072274446487427},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.584723711013794},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.561683714389801},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5434063673019409},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5216134786605835},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4870772659778595},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4567379653453827},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4529399871826172},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4444265365600586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29657626152038574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.230057954788208},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08365708589553833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0726066529750824}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7168893814086914},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.6891853213310242},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6153754591941833},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6072274446487427},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.584723711013794},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.561683714389801},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5434063673019409},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5216134786605835},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4870772659778595},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4567379653453827},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4529399871826172},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4444265365600586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29657626152038574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.230057954788208},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08365708589553833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0726066529750824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2978647","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2978647","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09025069.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:054961a21979417d8a67acc9dcd97cbb","is_oa":true,"landing_page_url":"https://doaj.org/article/054961a21979417d8a67acc9dcd97cbb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 46837-46850 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2978647","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2978647","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09025069.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1239067560","display_name":null,"funder_award_id":"BK20170019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1846093667","display_name":null,"funder_award_id":"ZR2019MF021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1874132995","display_name":null,"funder_award_id":"BRA2019260","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G1943320216","display_name":null,"funder_award_id":"61877033","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2030376154","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G2277998222","display_name":null,"funder_award_id":"BK20170019","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G2696157397","display_name":null,"funder_award_id":"ZR201","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2810224417","display_name":null,"funder_award_id":"ZR2019MF021","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3497226477","display_name":null,"funder_award_id":"ZR2019","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3698570772","display_name":null,"funder_award_id":"cstc2018jcyjAX0588","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3867600133","display_name":null,"funder_award_id":"2017001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3910829908","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4179813235","display_name":null,"funder_award_id":"cstc2018jcyjAX0588","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4417298080","display_name":null,"funder_award_id":"cstc2018jcyjAX0588","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6768575545","display_name":null,"funder_award_id":"61973078","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6995865545","display_name":null,"funder_award_id":"2017001","funder_id":"https://openalex.org/F4320321605","funder_display_name":"Government of Jiangsu Province"},{"id":"https://openalex.org/G7248913801","display_name":null,"funder_award_id":"61877033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8526640497","display_name":null,"funder_award_id":"201926","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/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3009272099.pdf","grobid_xml":"https://content.openalex.org/works/W3009272099.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W80623023","https://openalex.org/W622801149","https://openalex.org/W1880793639","https://openalex.org/W1963645326","https://openalex.org/W1967044717","https://openalex.org/W1968728750","https://openalex.org/W1970381782","https://openalex.org/W1974469776","https://openalex.org/W1981583743","https://openalex.org/W1987084029","https://openalex.org/W2090830274","https://openalex.org/W2099839128","https://openalex.org/W2100128021","https://openalex.org/W2109886274","https://openalex.org/W2121752938","https://openalex.org/W2132107213","https://openalex.org/W2160121923","https://openalex.org/W2293063825","https://openalex.org/W2342488082","https://openalex.org/W2343217457","https://openalex.org/W2345882720","https://openalex.org/W2488580825","https://openalex.org/W2515469213","https://openalex.org/W2581282721","https://openalex.org/W2609992716","https://openalex.org/W2624457714","https://openalex.org/W2734910472","https://openalex.org/W2750674396","https://openalex.org/W2761187698","https://openalex.org/W2810730072","https://openalex.org/W2811312330","https://openalex.org/W2895789449","https://openalex.org/W2944552145","https://openalex.org/W2945975131","https://openalex.org/W2967288925","https://openalex.org/W2967826606","https://openalex.org/W2974354643","https://openalex.org/W6641799693","https://openalex.org/W6739367711","https://openalex.org/W6741566197"],"related_works":["https://openalex.org/W2164703465","https://openalex.org/W2210722882","https://openalex.org/W2074717584","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2009168760","https://openalex.org/W2775410459","https://openalex.org/W2050693590","https://openalex.org/W4285551356","https://openalex.org/W327603423"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,20,33,47,51,56,61,70,79,82,85],"stability":[4,54,59],"of":[5,8,60,63,84],"a":[6],"class":[7],"quaternion-valued":[9],"neural":[10],"networks":[11],"(QVNNs)":[12],"with":[13],"discrete":[14],"and":[15,22,36,49,55,81],"distributed":[16],"delays.":[17],"By":[18],"decomposing":[19],"QVNN":[21],"forming":[23],"an":[24],"equivalent":[25],"real-valued":[26],"vector-matrix":[27],"differential":[28],"equation":[29],"(RVVDE),":[30],"based":[31],"on":[32],"Lyapunov":[34],"theory":[35],"some":[37,40],"matrix":[38],"inequalities,":[39],"sufficient":[41],"conditions":[42,66],"are":[43,75],"derived":[44],"to":[45,69,77],"ensure":[46],"existence":[48],"uniqueness,":[50],"globally":[52,57],"exponential":[53],"power":[58],"equilibrium":[62],"RVVDE.":[64],"These":[65],"also":[67],"apply":[68],"QVNN.":[71],"Two":[72],"numerical":[73],"examples":[74],"given":[76],"show":[78],"advantage":[80],"effectiveness":[83],"main":[86],"results.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
