{"id":"https://openalex.org/W2769193995","doi":"https://doi.org/10.1109/access.2017.2776168","title":"Stochastic Exponential Robust Stability of Delayed Complex-Valued Neural Networks With Markova Jumping Parameters","display_name":"Stochastic Exponential Robust Stability of Delayed Complex-Valued Neural Networks With Markova Jumping Parameters","publication_year":2017,"publication_date":"2017-11-21","ids":{"openalex":"https://openalex.org/W2769193995","doi":"https://doi.org/10.1109/access.2017.2776168","mag":"2769193995"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2776168","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2776168","pdf_url":null,"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":null,"license_id":null,"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://doi.org/10.1109/access.2017.2776168","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100777030","display_name":"Xiaohui Xu","orcid":"https://orcid.org/0000-0002-1337-1391"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohui Xu","raw_affiliation_strings":["Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China","Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China","institution_ids":["https://openalex.org/I102345215"]},{"raw_affiliation_string":"Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, Chengdu, China","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087352928","display_name":"Quan Xu","orcid":"https://orcid.org/0000-0003-1046-8558"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quan Xu","raw_affiliation_strings":["School of Technology, Xihua University, Chengdu, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0003-1046-8558","affiliations":[{"raw_affiliation_string":"School of Technology, Xihua University, Chengdu, China","institution_ids":["https://openalex.org/I102345215"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039180949","display_name":"Yiqiang Peng","orcid":"https://orcid.org/0000-0002-2469-4348"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiqiang Peng","raw_affiliation_strings":["Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101782393","display_name":"Jiye Zhang","orcid":"https://orcid.org/0000-0002-9886-8814"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiye Zhang","raw_affiliation_strings":["National Traction Power Laboratory, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Traction Power Laboratory, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101704931","display_name":"Yanhai Xu","orcid":"https://orcid.org/0000-0003-0529-1065"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhai Xu","raw_affiliation_strings":["Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Automobile Measurement and Control and Safety, School of Automobile and Transportation, Xihua University, Chengdu, China","institution_ids":["https://openalex.org/I102345215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.7346,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91820148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"839","last_page":"849"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12676","display_name":"Machine Learning and ELM","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.6568855047225952},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5527405738830566},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5270212888717651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5238425731658936},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5129494071006775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5051384568214417},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5042010545730591},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4913131296634674},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.46221938729286194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4254089593887329},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42526674270629883},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20476722717285156},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2016516625881195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11387112736701965},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11358052492141724},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06853833794593811}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6568855047225952},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5527405738830566},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5270212888717651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5238425731658936},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5129494071006775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5051384568214417},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5042010545730591},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4913131296634674},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.46221938729286194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4254089593887329},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42526674270629883},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20476722717285156},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2016516625881195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11387112736701965},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11358052492141724},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06853833794593811},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2017.2776168","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2776168","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9e725b87b277477ea6f30bebcdc3f971","is_oa":true,"landing_page_url":"https://doaj.org/article/9e725b87b277477ea6f30bebcdc3f971","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 6, Pp 839-849 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2776168","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2776168","pdf_url":null,"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":null,"license_id":null,"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/G1610562634","display_name":null,"funder_award_id":"szjj2017-074","funder_id":"https://openalex.org/F4320324858","funder_display_name":"Xihua University"},{"id":"https://openalex.org/G2015742799","display_name":null,"funder_award_id":"szjj2016-017","funder_id":"https://openalex.org/F4320324858","funder_display_name":"Xihua University"},{"id":"https://openalex.org/G2759954232","display_name":null,"funder_award_id":"51775448","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2797838715","display_name":null,"funder_award_id":"szjj2016-007","funder_id":"https://openalex.org/F4320324858","funder_display_name":"Xihua University"},{"id":"https://openalex.org/G3143339195","display_name":null,"funder_award_id":"Z17124","funder_id":"https://openalex.org/F4320324858","funder_display_name":"Xihua University"},{"id":"https://openalex.org/G3978011117","display_name":null,"funder_award_id":"17ZA0364","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G6186655185","display_name":null,"funder_award_id":"2015TD0021","funder_id":"https://openalex.org/F4320322922","funder_display_name":"Department of Science and Technology of Sichuan Province"},{"id":"https://openalex.org/G640183410","display_name":null,"funder_award_id":"2017TD0026","funder_id":"https://openalex.org/F4320322922","funder_display_name":"Department of Science and Technology of Sichuan Province"},{"id":"https://openalex.org/G6604711398","display_name":null,"funder_award_id":"2016HH0010","funder_id":"https://openalex.org/F4320322922","funder_display_name":"Department of Science and Technology of Sichuan Province"},{"id":"https://openalex.org/G6689430157","display_name":null,"funder_award_id":"Z2014075","funder_id":"https://openalex.org/F4320311687","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G68342188","display_name":null,"funder_award_id":"2017TD0035","funder_id":"https://openalex.org/F4320322922","funder_display_name":"Department of Science and Technology of Sichuan Province"},{"id":"https://openalex.org/G6932374698","display_name":null,"funder_award_id":"11402214","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7001771670","display_name":null,"funder_award_id":"16ZB0163","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G7725754803","display_name":null,"funder_award_id":"Z2016133","funder_id":"https://openalex.org/F4320311687","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G7963084853","display_name":"\u57fa\u4e8e\u76f8\u4e92\u4f5c\u7528\u52bf\u7684\u4ea4\u901a\u7cfb\u7edf\u968f\u673a\u975e\u7ebf\u6027\u884c\u4e3a\u7814\u7a76","funder_award_id":"11572264","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320311687","display_name":"Ministry of Education","ror":"https://ror.org/03m01yf64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322922","display_name":"Department of Science and Technology of Sichuan Province","ror":"https://ror.org/04323m874"},{"id":"https://openalex.org/F4320322970","display_name":"Education Department of Sichuan Province","ror":"https://ror.org/05s1c4z27"},{"id":"https://openalex.org/F4320324858","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1030937500","https://openalex.org/W1910765670","https://openalex.org/W1928908674","https://openalex.org/W1977225820","https://openalex.org/W1980364829","https://openalex.org/W1985287182","https://openalex.org/W1991824025","https://openalex.org/W1997129238","https://openalex.org/W2024411642","https://openalex.org/W2025294956","https://openalex.org/W2025808664","https://openalex.org/W2029260264","https://openalex.org/W2034359514","https://openalex.org/W2034672659","https://openalex.org/W2038428280","https://openalex.org/W2126728219","https://openalex.org/W2157077261","https://openalex.org/W2191891362","https://openalex.org/W2326497455","https://openalex.org/W2344902543","https://openalex.org/W2345762621","https://openalex.org/W2391671645","https://openalex.org/W2417716067","https://openalex.org/W2476318530","https://openalex.org/W2482958248","https://openalex.org/W2496175068","https://openalex.org/W2496577379","https://openalex.org/W2516728239","https://openalex.org/W2520103018","https://openalex.org/W2553445463","https://openalex.org/W2563243121","https://openalex.org/W2582203443","https://openalex.org/W2582796693","https://openalex.org/W2593217248","https://openalex.org/W2594689960","https://openalex.org/W2599774809","https://openalex.org/W2606709331","https://openalex.org/W2606792694","https://openalex.org/W2614570124","https://openalex.org/W2617558994","https://openalex.org/W2621008790","https://openalex.org/W2735863137","https://openalex.org/W2764258501","https://openalex.org/W2766319854"],"related_works":["https://openalex.org/W1978738522","https://openalex.org/W2095028518","https://openalex.org/W2377228964","https://openalex.org/W2383827392","https://openalex.org/W2059311322","https://openalex.org/W2164703465","https://openalex.org/W2782159350","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2536963663"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,19,41,89,95,103],"the":[4,36,42,54,63,67,79,83,110,113],"problem":[5],"on":[6],"stochastic":[7,58],"exponential":[8,59],"robust":[9,60],"stability":[10,61],"for":[11],"a":[12],"class":[13],"of":[14,62,66,82,112],"complex-valued":[15],"interval":[16],"neural":[17],"networks":[18],"Markova":[20],"jumping":[21],"parameters":[22],"and":[23,30,39,57],"mixed":[24],"delays,":[25],"including":[26],"both":[27],"time-varying":[28],"delays":[29],"continuously":[31],"distributed":[32],"delays.":[33],"By":[34],"applying":[35],"M-matrix":[37],"theory":[38],"coupling":[40],"vector":[43],"Lyapunov":[44],"function":[45],"method,":[46],"some":[47,96],"sufficient":[48],"conditions":[49],"are":[50,75,88,106],"derived":[51],"to":[52,77,108],"guarantee":[53],"existence,":[55],"uniqueness,":[56],"equilibrium":[64],"point":[65],"addressed":[68,84],"system.":[69],"The":[70],"obtained":[71],"results":[72,105],"not":[73],"only":[74],"easy":[76],"judge":[78],"dynamical":[80],"behavior":[81],"system,":[85],"but":[86],"also":[87],"lower":[90],"level":[91],"conservatism":[92],"in":[93],"comparison":[94],"existing":[97],"results.":[98,115],"Finally,":[99],"two":[100],"numerical":[101],"examples":[102],"simulation":[104],"given":[107],"illustrate":[109],"effectiveness":[111],"proposed":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}