{"id":"https://openalex.org/W4288751428","doi":"https://doi.org/10.1109/tnnls.2022.3193429","title":"Design and Analysis of a Novel Distributed Gradient Neural Network for Solving Consensus Problems in a Predefined Time","display_name":"Design and Analysis of a Novel Distributed Gradient Neural Network for Solving Consensus Problems in a Predefined Time","publication_year":2022,"publication_date":"2022-07-29","ids":{"openalex":"https://openalex.org/W4288751428","doi":"https://doi.org/10.1109/tnnls.2022.3193429","pmid":"https://pubmed.ncbi.nlm.nih.gov/35905068"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3193429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3193429","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":null,"display_name":"Lin Xiao","orcid":"https://orcid.org/0000-0003-0007-2904"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-0007-2904","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022255906","display_name":"Lei Jia","orcid":"https://orcid.org/0000-0002-4405-7274"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Jia","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070031719","display_name":"Jianhua Dai","orcid":"https://orcid.org/0000-0003-1459-0833"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianhua Dai","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-1459-0833","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079001463","display_name":"Yingkun Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingkun Cao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100633409","display_name":"Yiwei Li","orcid":"https://orcid.org/0000-0002-8380-4164"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiwei Li","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600035","display_name":"Quanxin Zhu","orcid":"https://orcid.org/0000-0003-3130-4923"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanxin Zhu","raw_affiliation_strings":["MOE-LCSM and the School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China"],"raw_orcid":"https://orcid.org/0000-0003-3130-4923","affiliations":[{"raw_affiliation_string":"MOE-LCSM and the School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101749056","display_name":"Jichun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jichun Li","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle upon Tyne, U.K"],"raw_orcid":"https://orcid.org/0000-0002-9158-3269","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100343854","display_name":"Min Liu","orcid":"https://orcid.org/0000-0001-6406-4896"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Liu","raw_affiliation_strings":["College of Electric and Information Technology, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-6406-4896","affiliations":[{"raw_affiliation_string":"College of Electric and Information Technology, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":2.4243,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89156803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"35","issue":"3","first_page":"3478","last_page":"3487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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/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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/convergence","display_name":"Convergence (economics)","score":0.7927615642547607},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7355078458786011},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7227779626846313},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6661908030509949},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5896309614181519},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5539191365242004},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5385133028030396},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5067782998085022},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4789208173751831},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4604857861995697},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42754748463630676},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4174261689186096},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37445199489593506},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32252973318099976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26262015104293823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24144890904426575},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2291436791419983},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10848289728164673}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7927615642547607},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7355078458786011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7227779626846313},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6661908030509949},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5896309614181519},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5539191365242004},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5385133028030396},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5067782998085022},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4789208173751831},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4604857861995697},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42754748463630676},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4174261689186096},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37445199489593506},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32252973318099976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26262015104293823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24144890904426575},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2291436791419983},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10848289728164673},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2022.3193429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3193429","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:35905068","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35905068","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},{"id":"pmh:oai:eprints.ncl.ac.uk:283522","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402485","display_name":"Newcastle University ePrints (Newcastle Univesity)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I84884186","host_organization_name":"Newcastle University","host_organization_lineage":["https://openalex.org/I84884186"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1826252836","display_name":"\u8bbe\u5b9a\u65f6\u95f4\u6536\u655b\u7684\u5206\u6570\u9636\u590d\u503c\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u7684\u6a21\u578b\u8bbe\u8ba1\u53ca\u7406\u8bba\u7814\u7a76","funder_award_id":"61966014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1991401205","display_name":null,"funder_award_id":"18A289","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G268291241","display_name":null,"funder_award_id":"2021JJ20005","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G5166635775","display_name":"\u9488\u5bf9\u65f6\u53d8\u590d\u6570\u95ee\u9898\u7684\u590d\u503c\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u8bbe\u8ba1\u548c\u7406\u8bba\u7814\u7a76","funder_award_id":"61866013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6367171472","display_name":null,"funder_award_id":"2018RS3065","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6633472649","display_name":null,"funder_award_id":"2018TP1018","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8064630213","display_name":null,"funder_award_id":"61976089","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/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W143124887","https://openalex.org/W1480065370","https://openalex.org/W1937290768","https://openalex.org/W1987378497","https://openalex.org/W1987917074","https://openalex.org/W2010194391","https://openalex.org/W2012812921","https://openalex.org/W2015113370","https://openalex.org/W2025281062","https://openalex.org/W2055930596","https://openalex.org/W2063786718","https://openalex.org/W2065103067","https://openalex.org/W2099481154","https://openalex.org/W2138594241","https://openalex.org/W2160643434","https://openalex.org/W2163470017","https://openalex.org/W2164342016","https://openalex.org/W2195052264","https://openalex.org/W2549542871","https://openalex.org/W2599262923","https://openalex.org/W2605564896","https://openalex.org/W2768898160","https://openalex.org/W2794361571","https://openalex.org/W2806365404","https://openalex.org/W2898691282","https://openalex.org/W2911835134","https://openalex.org/W2946074838","https://openalex.org/W2969818399","https://openalex.org/W2980792105","https://openalex.org/W3104226436","https://openalex.org/W3159242893","https://openalex.org/W3199639320","https://openalex.org/W3200326156","https://openalex.org/W3202265798","https://openalex.org/W3205286258","https://openalex.org/W4205144960","https://openalex.org/W4223466975","https://openalex.org/W4310833211","https://openalex.org/W6757326070"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2013643406","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139","https://openalex.org/W2100702071"],"abstract_inverted_index":{"In":[0,80],"this":[1],"article,":[2],"a":[3,43,84,133,151],"novel":[4,89],"distributed":[5],"gradient":[6,29],"neural":[7,30],"network":[8],"(DGNN)":[9],"with":[10,27],"predefined-time":[11],"convergence":[12,65,163],"(PTC)":[13],"is":[14,103,140,155],"proposed":[15,38,120],"to":[16,58,60,76,95,100,125,142,157],"solve":[17,126],"consensus":[18,128,139],"problems":[19,129],"widely":[20],"existing":[21],"in":[22,42,47],"multiagent":[23],"systems":[24],"(MASs).":[25],"Compared":[26],"previous":[28],"networks":[31],"(GNNs)":[32],"for":[33],"optimization":[34],"and":[35,66,150],"computation,":[36],"the":[37,53,61,70,77,97,113,116,119,137,144,147,159,162],"DGNN":[39,71,98,123,148],"model":[40,72,99,124,149],"works":[41],"nonfully":[44],"connected":[45],"way,":[46],"which":[48,102],"each":[49],"neuron":[50],"only":[51],"needs":[52],"information":[54],"of":[55,69,118,130,136,146],"neighbor":[56],"neurons":[57],"converge":[59],"equilibrium":[62],"point.":[63],"The":[64],"asymptotic":[67],"stability":[68],"are":[73,93],"proved":[74,104],"according":[75],"Lyapunov":[78],"theory.":[79,107],"addition,":[81],"based":[82],"on":[83,161],"relatively":[85],"loose":[86],"condition,":[87],"three":[88],"nonlinear":[90],"activation":[91],"functions":[92],"designed":[94],"speedup":[96],"PTC,":[101,117],"by":[105],"rigorous":[106],"Computer":[108],"numerical":[109],"results":[110],"further":[111],"verify":[112,158],"effectiveness,":[114],"especially":[115],"nonlinearly":[121],"activated":[122],"various":[127],"MASs.":[131],"Finally,":[132],"practical":[134],"case":[135],"directional":[138],"presented":[141],"show":[143],"feasibility":[145],"corresponding":[152],"connectivity-testing":[153],"example":[154],"given":[156],"influence":[160],"speed.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}