{"id":"https://openalex.org/W2091187889","doi":"https://doi.org/10.2478/v10006-011-0009-y","title":"Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays","display_name":"Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2091187889","doi":"https://doi.org/10.2478/v10006-011-0009-y","mag":"2091187889"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-011-0009-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-011-0009-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.2478/v10006-011-0009-y","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034242786","display_name":"R. Raja","orcid":"https://orcid.org/0000-0003-0830-4933"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ramachandran Raja","raw_affiliation_strings":["Department of Mathematics, Periyar University, Salem, 636 011 India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Periyar University, Salem, 636 011 India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076621570","display_name":"R. Sakthivel","orcid":"https://orcid.org/0000-0002-5528-2709"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Rathinasamy Sakthivel","raw_affiliation_strings":["Department of Mathematics, SungKyunKwan University, Suwon 440-746, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SungKyunKwan University, Suwon 440-746, South Korea","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017526881","display_name":"S. Marshal Anthoni","orcid":"https://orcid.org/0000-0002-1339-7794"},"institutions":[{"id":"https://openalex.org/I33585257","display_name":"Anna University, Chennai","ror":"https://ror.org/01qhf1r47","country_code":"IN","type":"education","lineage":["https://openalex.org/I33585257"]},{"id":"https://openalex.org/I4400600945","display_name":"Anna University Regional Campus, Coimbatore","ror":"https://ror.org/057qyqy03","country_code":null,"type":"education","lineage":["https://openalex.org/I4400600945"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Selvaraj Anthoni","raw_affiliation_strings":["Department of Mathematics, Anna University of Technology, Coimbatore 641 047, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Anna University of Technology, Coimbatore 641 047, India#TAB#","institution_ids":["https://openalex.org/I4400600945","https://openalex.org/I33585257"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106235639","display_name":"Hyunsoo Kim","orcid":"https://orcid.org/0009-0000-6369-735X"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyunsoo Kim","raw_affiliation_strings":["Department of Mathematics, SungKyunKwan University, Suwon 440-746, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SungKyunKwan University, Suwon 440-746, South Korea","institution_ids":["https://openalex.org/I848706"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034242786"],"corresponding_institution_ids":[],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":4.3851,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.94475964,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"1","first_page":"127","last_page":"135"},"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":0.9825999736785889,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9793000221252441,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7040188312530518},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6915768980979919},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6352299451828003},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.6082477569580078},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5567269921302795},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5524711012840271},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4580880403518677},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.45131444931030273},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.43708470463752747},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4335368871688843},{"id":"https://openalex.org/keywords/bidirectional-associative-memory","display_name":"Bidirectional associative memory","score":0.41978731751441956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.376869261264801},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29886215925216675},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13632291555404663},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08829659223556519},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07460293173789978}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7040188312530518},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6915768980979919},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6352299451828003},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.6082477569580078},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5567269921302795},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5524711012840271},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4580880403518677},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.45131444931030273},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.43708470463752747},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4335368871688843},{"id":"https://openalex.org/C120620853","wikidata":"https://www.wikidata.org/wiki/Q506355","display_name":"Bidirectional associative memory","level":4,"score":0.41978731751441956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.376869261264801},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29886215925216675},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13632291555404663},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08829659223556519},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07460293173789978},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/v10006-011-0009-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-011-0009-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.7245","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.7245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc21/amc2119.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:46903","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=46903","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=paper&paper=539","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-011-0009-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-011-0009-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321378","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W285212305","https://openalex.org/W1506119886","https://openalex.org/W1964560231","https://openalex.org/W1970421458","https://openalex.org/W1985355104","https://openalex.org/W1993560184","https://openalex.org/W1994291702","https://openalex.org/W1996298982","https://openalex.org/W2036679889","https://openalex.org/W2042226006","https://openalex.org/W2042513842","https://openalex.org/W2049381481","https://openalex.org/W2052097541","https://openalex.org/W2073550654","https://openalex.org/W2075536238","https://openalex.org/W2075671688","https://openalex.org/W2077653771","https://openalex.org/W2079519856","https://openalex.org/W2122125075","https://openalex.org/W2124776405","https://openalex.org/W2168074109"],"related_works":["https://openalex.org/W1675968628","https://openalex.org/W2384418592","https://openalex.org/W2368803220","https://openalex.org/W2357913245","https://openalex.org/W1984796440","https://openalex.org/W2378031051","https://openalex.org/W2539420904","https://openalex.org/W2392741316","https://openalex.org/W2122592112","https://openalex.org/W1594309677"],"abstract_inverted_index":{"Stability":[0],"of":[1,22,63,104],"impulsive":[2,23],"Hopfield":[3,24],"neural":[4,25],"networks":[5,26],"with":[6,16,27],"Markovian":[7,28],"switching":[8],"and":[9,31],"time-varying":[10,32],"delays":[11,105],"The":[12,34,68],"paper":[13],"is":[14,90],"concerned":[15],"stability":[17,57],"analysis":[18],"for":[19],"a":[20,42,50],"class":[21],"jumping":[29,35],"parameters":[30,36],"delays.":[33],"considered":[37],"here":[38],"are":[39,59],"generated":[40],"from":[41],"continuous-time":[43],"discrete-state":[44],"homogenous":[45],"Markov":[46],"process.":[47],"By":[48],"employing":[49],"Lyapunov":[51],"functional":[52],"approach,":[53],"new":[54],"delay-dependent":[55],"stochastic":[56],"criteria":[58,70],"obtained":[60],"in":[61,110],"terms":[62],"linear":[64],"matrix":[65],"inequalities":[66],"(LMIs).":[67],"proposed":[69,96],"can":[71],"be":[72],"easily":[73],"checked":[74],"by":[75],"using":[76],"some":[77,107],"standard":[78],"numerical":[79,88],"packages":[80],"such":[81],"as":[82],"the":[83,95,100,111],"Matlab":[84],"LMI":[85],"Toolbox.":[86],"A":[87],"example":[89],"provided":[91],"to":[92],"show":[93],"that":[94],"results":[97,108],"significantly":[98],"improve":[99],"allowable":[101],"upper":[102],"bounds":[103],"over":[106],"existing":[109],"literature.":[112]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}