{"id":"https://openalex.org/W2809834448","doi":"https://doi.org/10.1109/tnnls.2018.2843771","title":"A New Approach to Stochastic Stability of Markovian Neural Networks With Generalized Transition Rates","display_name":"A New Approach to Stochastic Stability of Markovian Neural Networks With Generalized Transition Rates","publication_year":2018,"publication_date":"2018-07-02","ids":{"openalex":"https://openalex.org/W2809834448","doi":"https://doi.org/10.1109/tnnls.2018.2843771","mag":"2809834448","pmid":"https://pubmed.ncbi.nlm.nih.gov/29994722"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2843771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2843771","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/A5041621256","display_name":"Ruimei Zhang","orcid":"https://orcid.org/0000-0002-6996-5412"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ruimei Zhang","raw_affiliation_strings":["School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-6996-5412","affiliations":[{"raw_affiliation_string":"School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010492930","display_name":"Deqiang Zeng","orcid":"https://orcid.org/0000-0001-6885-9696"},"institutions":[{"id":"https://openalex.org/I4210117337","display_name":"Neijiang Normal University","ror":"https://ror.org/02bc8tz70","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deqiang Zeng","raw_affiliation_strings":["Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, China"],"raw_orcid":"https://orcid.org/0000-0001-6885-9696","affiliations":[{"raw_affiliation_string":"Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, China","institution_ids":["https://openalex.org/I4210117337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029473053","display_name":"Ju H. Park","orcid":"https://orcid.org/0000-0002-0218-2333"},"institutions":[{"id":"https://openalex.org/I55240360","display_name":"Yeungnam University","ror":"https://ror.org/05yc6p159","country_code":"KR","type":"education","lineage":["https://openalex.org/I55240360"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ju H. Park","raw_affiliation_strings":["Department of Electrical Engineering, Yeungnam University, Gyeongsan, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-0218-2333","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Gyeongsan, South Korea","institution_ids":["https://openalex.org/I55240360"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071530636","display_name":"Yajuan Liu","orcid":"https://orcid.org/0000-0003-4986-8890"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yajuan Liu","raw_affiliation_strings":["School of Control and Computer Engineering, North China Electric Power University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-4986-8890","affiliations":[{"raw_affiliation_string":"School of Control and Computer Engineering, North China Electric Power University, Beijing, China","institution_ids":["https://openalex.org/I153473198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034087989","display_name":"Shouming Zhong","orcid":"https://orcid.org/0000-0002-0334-6117"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouming Zhong","raw_affiliation_strings":["School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-0334-6117","affiliations":[{"raw_affiliation_string":"School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5041621256"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":3.1267,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9225317,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"30","issue":"2","first_page":"499","last_page":"510"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/stability","display_name":"Stability (learning theory)","score":0.6633257269859314},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5902400612831116},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.538110077381134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5061959624290466},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.5021381378173828},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.47623732686042786},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.4616187512874603},{"id":"https://openalex.org/keywords/transition","display_name":"Transition (genetics)","score":0.45253002643585205},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4465142786502838},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44134521484375},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.42760562896728516},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4268578886985779},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4198456406593323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38824331760406494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34791499376296997},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.22698906064033508},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.1765080988407135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10320433974266052},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06148400902748108}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6633257269859314},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5902400612831116},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.538110077381134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5061959624290466},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.5021381378173828},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.47623732686042786},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.4616187512874603},{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.45253002643585205},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4465142786502838},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44134521484375},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.42760562896728516},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4268578886985779},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4198456406593323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38824331760406494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34791499376296997},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.22698906064033508},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.1765080988407135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10320433974266052},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06148400902748108},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2018.2843771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2843771","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:29994722","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29994722","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/G1512612312","display_name":null,"funder_award_id":"NRF-2017R1A2B2004671","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"},{"id":"https://openalex.org/G2202405008","display_name":null,"funder_award_id":"61533006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3942998740","display_name":null,"funder_award_id":"2018MS028","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1967965856","https://openalex.org/W1974031204","https://openalex.org/W1986582332","https://openalex.org/W2007770514","https://openalex.org/W2007828357","https://openalex.org/W2016562720","https://openalex.org/W2024454927","https://openalex.org/W2031673504","https://openalex.org/W2034707592","https://openalex.org/W2035478357","https://openalex.org/W2037686415","https://openalex.org/W2038641684","https://openalex.org/W2039795485","https://openalex.org/W2041289944","https://openalex.org/W2044467507","https://openalex.org/W2048359962","https://openalex.org/W2056717940","https://openalex.org/W2062564145","https://openalex.org/W2100337613","https://openalex.org/W2119275635","https://openalex.org/W2344190494","https://openalex.org/W2344595761","https://openalex.org/W2408559562","https://openalex.org/W2408852042","https://openalex.org/W2410966350","https://openalex.org/W2415956423","https://openalex.org/W2492063646","https://openalex.org/W2501351539","https://openalex.org/W2511048114","https://openalex.org/W2588052749","https://openalex.org/W2588223713","https://openalex.org/W2588591728","https://openalex.org/W2601696867","https://openalex.org/W2610437157","https://openalex.org/W2619229533","https://openalex.org/W2620766546","https://openalex.org/W2625250219","https://openalex.org/W2742569709","https://openalex.org/W2753076938","https://openalex.org/W2755814735","https://openalex.org/W2760818894","https://openalex.org/W2766420801","https://openalex.org/W2777695765","https://openalex.org/W2778008107","https://openalex.org/W2790003107","https://openalex.org/W3141641421","https://openalex.org/W6742359465","https://openalex.org/W6744040959","https://openalex.org/W6745279728"],"related_works":["https://openalex.org/W1977769785","https://openalex.org/W4234261790","https://openalex.org/W2012431763","https://openalex.org/W2526014012","https://openalex.org/W4300024488","https://openalex.org/W2539087073","https://openalex.org/W2268002914","https://openalex.org/W2180491952","https://openalex.org/W2040926481","https://openalex.org/W2765710841"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,50,67,73,92,134,139],"stability":[4,104],"problem":[5],"of":[6,32,75,138],"Markovian":[7],"neural":[8],"networks":[9],"(MNNs)":[10],"with":[11,58,110],"time":[12,60,64,76],"delay.":[13],"First,":[14],"to":[15,132],"reflect":[16],"more":[17,20],"realistic":[18],"behaviors,":[19],"generalized":[21],"transition":[22,30],"rates":[23,31],"are":[24,36,106,116,130],"considered":[25],"for":[26,49],"MNNs,":[27],"where":[28],"all":[29],"some":[33,111],"jumping":[34],"modes":[35],"completely":[37],"unknown.":[38],"Second,":[39],"a":[40,81],"new":[41],"approach,":[42,46],"namely":[43],"time-delay-dependent-matrix":[44],"(TDDM)":[45],"is":[47,56],"proposed":[48,140],"first":[51],"time.":[52],"The":[53],"TDDM":[54,68,93],"approach":[55,69,94],"associated":[57],"both":[59],"delay":[61,77],"and":[62,78,95,99,136],"its":[63],"derivative.":[65],"Thus,":[66],"can":[70],"fully":[71],"capture":[72],"information":[74],"would":[79],"play":[80],"key":[82],"role":[83],"in":[84],"deriving":[85],"less":[86,119],"conservative":[87,120],"results.":[88,141],"Third,":[89],"based":[90],"on":[91],"applying":[96],"Wirtinger's":[97],"inequality":[98],"improved":[100],"reciprocally":[101],"convex":[102],"inequality,":[103],"criteria":[105],"derived.":[107],"In":[108],"comparison":[109],"existing":[112],"results,":[113],"our":[114],"results":[115],"not":[117],"only":[118],"but":[121],"also":[122],"involve":[123],"lower":[124],"calculation":[125],"complexity.":[126],"Finally,":[127],"numerical":[128],"examples":[129],"provided":[131],"show":[133],"effectiveness":[135],"advantages":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
