{"id":"https://openalex.org/W3207487311","doi":"https://doi.org/10.1007/s11063-021-10657-w","title":"Synchronization of Quaternion Valued Neural Networks with Mixed Time Delays Using Lyapunov Function Method","display_name":"Synchronization of Quaternion Valued Neural Networks with Mixed Time Delays Using Lyapunov Function Method","publication_year":2021,"publication_date":"2021-10-11","ids":{"openalex":"https://openalex.org/W3207487311","doi":"https://doi.org/10.1007/s11063-021-10657-w","mag":"3207487311"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-021-10657-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-021-10657-w","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085456199","display_name":"Sunny Singh","orcid":"https://orcid.org/0000-0003-3342-6721"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunny Singh","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008659884","display_name":"Umesh Kumar","orcid":"https://orcid.org/0000-0002-4715-7967"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Umesh Kumar","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111026706","display_name":"Subir Das","orcid":null},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subir Das","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080263475","display_name":"Fuad E. Alsaadi","orcid":"https://orcid.org/0000-0001-6420-3948"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"F. Alsaadi","raw_affiliation_strings":["Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]},{"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","KR"],"is_corresponding":true,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, 211189, People\u2019s Republic of China","Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea","School of Mathematics, Southeast University, Nanjing, 211189, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, 211189, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, 211189, People's Republic of China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5017808266"],"corresponding_institution_ids":["https://openalex.org/I193775966","https://openalex.org/I76569877"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.562,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89913056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"54","issue":"2","first_page":"785","last_page":"801"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9961000084877014,"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":0.9955000281333923,"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/quaternion","display_name":"Quaternion","score":0.8274421691894531},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.8261975049972534},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6882364153862},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6352666020393372},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6311270594596863},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.609029233455658},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5934705138206482},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.592724621295929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49741533398628235},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4965077042579651},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44057196378707886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42929595708847046},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4190119206905365},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22911721467971802},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.17640569806098938},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13451802730560303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12092870473861694},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.11388841271400452},{"id":"https://openalex.org/keywords/step-response","display_name":"Step response","score":0.07136228680610657},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05599448084831238}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8274421691894531},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.8261975049972534},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6882364153862},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6352666020393372},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6311270594596863},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.609029233455658},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5934705138206482},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.592724621295929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49741533398628235},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4965077042579651},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44057196378707886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42929595708847046},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4190119206905365},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22911721467971802},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.17640569806098938},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13451802730560303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12092870473861694},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.11388841271400452},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.07136228680610657},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05599448084831238},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-021-10657-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-021-10657-w","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W71558303","https://openalex.org/W80623023","https://openalex.org/W1607633954","https://openalex.org/W1625863036","https://openalex.org/W1929567265","https://openalex.org/W1978921618","https://openalex.org/W1987523809","https://openalex.org/W1991750719","https://openalex.org/W2003403621","https://openalex.org/W2015113370","https://openalex.org/W2022159488","https://openalex.org/W2047323603","https://openalex.org/W2091687085","https://openalex.org/W2099057098","https://openalex.org/W2099298871","https://openalex.org/W2117586864","https://openalex.org/W2118369318","https://openalex.org/W2170400088","https://openalex.org/W2194083193","https://openalex.org/W2206714695","https://openalex.org/W2242290432","https://openalex.org/W2251287495","https://openalex.org/W2282921553","https://openalex.org/W2327720711","https://openalex.org/W2343840829","https://openalex.org/W2348144522","https://openalex.org/W2519651989","https://openalex.org/W2520103018","https://openalex.org/W2563073222","https://openalex.org/W2569515529","https://openalex.org/W2587797689","https://openalex.org/W2619443339","https://openalex.org/W2754609142","https://openalex.org/W2768811358","https://openalex.org/W2790719793","https://openalex.org/W2800372837","https://openalex.org/W2883066652","https://openalex.org/W2888153390","https://openalex.org/W2899294337","https://openalex.org/W2914568252","https://openalex.org/W2943592128","https://openalex.org/W2945686539","https://openalex.org/W2952791331","https://openalex.org/W3000689905","https://openalex.org/W3008354675","https://openalex.org/W3021366637","https://openalex.org/W3032667095","https://openalex.org/W3044766324","https://openalex.org/W3044798939","https://openalex.org/W3087722766","https://openalex.org/W3090947085","https://openalex.org/W3094869672","https://openalex.org/W3099636850","https://openalex.org/W3099709312","https://openalex.org/W3100344696","https://openalex.org/W3102274955","https://openalex.org/W3115285421","https://openalex.org/W3119566912","https://openalex.org/W3159548497"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W2887325221","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W2184550115","https://openalex.org/W4289828965","https://openalex.org/W2391028436","https://openalex.org/W3086666119","https://openalex.org/W3151916380"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}