{"id":"https://openalex.org/W3189058181","doi":"https://doi.org/10.1109/tcyb.2021.3087477","title":"Robust Composite <i>H</i> <sub>\u221e</sub> Synchronization of Markov Jump Reaction\u2013Diffusion Neural Networks via a Disturbance Observer-Based Method","display_name":"Robust Composite <i>H</i> <sub>\u221e</sub> Synchronization of Markov Jump Reaction\u2013Diffusion Neural Networks via a Disturbance Observer-Based Method","publication_year":2021,"publication_date":"2021-08-12","ids":{"openalex":"https://openalex.org/W3189058181","doi":"https://doi.org/10.1109/tcyb.2021.3087477","mag":"3189058181","pmid":"https://pubmed.ncbi.nlm.nih.gov/34383659"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3087477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3087477","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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":"Hao Shen","orcid":"https://orcid.org/0000-0001-7024-6573"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Hao Shen","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-7024-6573","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xuelian Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuelian Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-5519-9016"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":"https://orcid.org/0000-0002-5519-9016","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":null,"display_name":"Leszek Rutkowski","orcid":"https://orcid.org/0000-0001-6960-9525"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leszek Rutkowski","raw_affiliation_strings":["Institute of Computational Intelligence, Cz&#x0119;stochowa University of Technology, Cz&#x0119;stochowa, Poland"],"raw_orcid":"https://orcid.org/0000-0001-6960-9525","affiliations":[{"raw_affiliation_string":"Institute of Computational Intelligence, Cz&#x0119;stochowa University of Technology, Cz&#x0119;stochowa, Poland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7346,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.90545562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"12","first_page":"12712","last_page":"12721"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9868000149726868,"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":0.9868000149726868,"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":0.002899999963119626,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.002199999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8079000115394592},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.7250000238418579},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.628600001335144},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4948999881744385},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4869999885559082},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.42340001463890076},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4194999933242798}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8079000115394592},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.7250000238418579},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.628600001335144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6200000047683716},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4948999881744385},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4869999885559082},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.42340001463890076},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.39980000257492065},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.36070001125335693},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.35899999737739563},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.33059999346733093},{"id":"https://openalex.org/C2778179450","wikidata":"https://www.wikidata.org/wiki/Q17146472","display_name":"Intermittent control","level":2,"score":0.2858999967575073},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2547999918460846}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3087477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3087477","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:34383659","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34383659","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G434923280","display_name":"\u57fa\u4e8e\u6df7\u5408\u89e6\u53d1\u673a\u5236\u7684\u968f\u673a\u901a\u8baf\u53d7\u9650\u7f51\u7edc\u63a7\u5236\u7cfb\u7edf\u7684\u63a7\u5236\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61673178","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4518172694","display_name":null,"funder_award_id":"2017/27/B/ST6/02852","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G4585534567","display_name":"\u57fa\u4e8e\u7fa4\u4f53\u667a\u80fd\u7684\u5206\u5e03\u5f0f\u4f18\u5316\u7406\u8bba\u3001\u65b9\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61833005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6879445251","display_name":null,"funder_award_id":"61703004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8988429466","display_name":null,"funder_award_id":"61873002","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/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1994468395","https://openalex.org/W2021946237","https://openalex.org/W2071606493","https://openalex.org/W2106297160","https://openalex.org/W2109952733","https://openalex.org/W2159769511","https://openalex.org/W2164136313","https://openalex.org/W2461067303","https://openalex.org/W2543219808","https://openalex.org/W2554850913","https://openalex.org/W2557118857","https://openalex.org/W2557850601","https://openalex.org/W2612595888","https://openalex.org/W2621415688","https://openalex.org/W2734352672","https://openalex.org/W2755812583","https://openalex.org/W2793604259","https://openalex.org/W2796767072","https://openalex.org/W2884451540","https://openalex.org/W2889491313","https://openalex.org/W2904631828","https://openalex.org/W2915264809","https://openalex.org/W2921325762","https://openalex.org/W2944612515","https://openalex.org/W2945192441","https://openalex.org/W2946116399","https://openalex.org/W2946727600","https://openalex.org/W2954075120","https://openalex.org/W2958975683","https://openalex.org/W2967122385","https://openalex.org/W2968310610","https://openalex.org/W2971027765","https://openalex.org/W2973948586","https://openalex.org/W2982507883","https://openalex.org/W2989943488","https://openalex.org/W2996219791","https://openalex.org/W3000220984","https://openalex.org/W3008467619","https://openalex.org/W3012931533","https://openalex.org/W3018082279","https://openalex.org/W3025378915","https://openalex.org/W3083646480","https://openalex.org/W6770568387","https://openalex.org/W6781289727","https://openalex.org/W6786113129"],"related_works":[],"abstract_inverted_index":{"This":[0],"article":[1],"focuses":[2],"on":[3,128],"the":[4,29,34,37,45,52,72,84,97,117,120,129,138,168],"composite":[5,107],"<inline-formula":[6,149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[8,151],"<tex-math":[9,152],"notation=\"LaTeX\">$\\mathcal":[10,153],"{H}_{\\infty":[11,154],"}$":[12],"</tex-math></inline-formula>":[13,157],"synchronization":[14,139],"problem":[15],"for":[16,59,116],"jumping":[17],"reaction\u2013diffusion":[18],"neural":[19],"networks":[20],"(NNs)":[21],"with":[22],"multiple":[23],"kinds":[24],"of":[25,31,36,48,55,63,88,119,170],"disturbances.":[26,121],"Due":[27],"to":[28,82,114,166],"existence":[30],"disturbance":[32,91,98,108],"effects,":[33],"performance":[35,47,158],"aforementioned":[38],"system":[39,141],"would":[40],"be":[41,66],"degraded;":[42],"therefore,":[43],"improving":[44],"control":[46,104],"closed-loop":[49],"NNs":[50],"is":[51,74,93,111,142,163],"main":[53],"goal":[54],"this":[56],"article.":[57],"Notably,":[58],"these":[60],"disturbances,":[61],"one":[62,86],"them":[64],"can":[65,135],"described":[67],"as":[68],"a":[69,90,106,147],"norm-bounded,":[70],"and":[71,101,145],"other":[73],"generated":[75],"by":[76],"an":[77],"exogenous":[78],"model.":[79],"In":[80],"order":[81],"reject":[83],"above":[85],"kind":[87],"disturbance,":[89],"observer":[92,99],"developed.":[94],"Furthermore,":[95],"combining":[96],"approach":[100],"conventional":[102],"state-feedback":[103],"scheme,":[105],"rejection":[109],"controller":[110],"specifically":[112],"designed":[113],"compensate":[115],"influences":[118],"Then,":[122],"some":[123],"criteria":[124],"are":[125],"established":[126],"based":[127],"general":[130],"Lyapunov":[131],"stability":[132],"theory,":[133],"which":[134],"ensure":[136],"that":[137],"error":[140],"stochastically":[143],"stable":[144],"satisfies":[146],"fixed":[148],"}":[155],"$":[156],"level.":[159],"A":[160],"simulation":[161],"example":[162],"finally":[164],"presented":[165],"verify":[167],"availability":[169],"our":[171],"developed":[172],"method.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-08-16T00:00:00"}