{"id":"https://openalex.org/W3046891697","doi":"https://doi.org/10.1109/tfuzz.2020.3012761","title":"$\\mathcal {H}_{\\infty }$ Synchronization for Fuzzy Markov Jump Chaotic Systems With Piecewise-Constant Transition Probabilities Subject to PDT Switching Rule","display_name":"$\\mathcal {H}_{\\infty }$ Synchronization for Fuzzy Markov Jump Chaotic Systems With Piecewise-Constant Transition Probabilities Subject to PDT Switching Rule","publication_year":2020,"publication_date":"2020-07-29","ids":{"openalex":"https://openalex.org/W3046891697","doi":"https://doi.org/10.1109/tfuzz.2020.3012761","mag":"3046891697"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.3012761","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.3012761","pdf_url":"https://ieeexplore.ieee.org/ielx7/91/9560654/09152089.pdf","source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/91/9560654/09152089.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100378538","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\u2019anshan, China","School of Electrical and Information Engineering, Anhui University of Technology, Ma'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\u2019anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007027701","display_name":"Jianwei Xia","orcid":"https://orcid.org/0000-0002-5330-9349"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianwei Xia","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0002-5330-9349","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067323219","display_name":"Hao Shen","orcid":"https://orcid.org/0000-0001-7024-6573"},"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":"Hao Shen","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma\u2019anshan, China","School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China"],"raw_orcid":"https://orcid.org/0000-0001-7024-6573","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma\u2019anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052168919","display_name":"Mengping Xing","orcid":"https://orcid.org/0000-0002-4102-8494"},"institutions":[{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]},{"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":"Mengping Xing","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma\u2019anshan, China","School of Information Science and Engineering, Chengdu University, Chengdu, China","School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China"],"raw_orcid":"https://orcid.org/0000-0002-4102-8494","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma\u2019anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"School of Information Science and Engineering, Chengdu University, Chengdu, China","institution_ids":["https://openalex.org/I4210125143"]},{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"last","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, Kyongsan, Korea"],"raw_orcid":"https://orcid.org/0000-0002-0218-2333","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Kyongsan, Korea","institution_ids":["https://openalex.org/I55240360"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":35.4181,"has_fulltext":true,"cited_by_count":311,"citation_normalized_percentile":{"value":0.99910282,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"29","issue":"10","first_page":"3082","last_page":"3092"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9975000023841858,"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/mathematics","display_name":"Mathematics","score":0.701448917388916},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6232702732086182},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.5688555836677551},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5539537668228149},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.5040318369865417},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4811928868293762},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.43392595648765564},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4329751133918762},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4224478602409363},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.4175998866558075},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.394057035446167},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.2629340589046478},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2518014907836914},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2293524146080017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21953058242797852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20418378710746765},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10749095678329468}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.701448917388916},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6232702732086182},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.5688555836677551},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5539537668228149},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5040318369865417},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4811928868293762},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.43392595648765564},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4329751133918762},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4224478602409363},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.4175998866558075},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.394057035446167},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2629340589046478},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2518014907836914},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2293524146080017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21953058242797852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20418378710746765},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10749095678329468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2020.3012761","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.3012761","pdf_url":"https://ieeexplore.ieee.org/ielx7/91/9560654/09152089.pdf","source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tfuzz.2020.3012761","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.3012761","pdf_url":"https://ieeexplore.ieee.org/ielx7/91/9560654/09152089.pdf","source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2001683044","display_name":null,"funder_award_id":"2020R1A2B5B02002002","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"},{"id":"https://openalex.org/G2321261865","display_name":null,"funder_award_id":"61503002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3045881566","display_name":null,"funder_award_id":"2020R1A2B5B02002002","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3449415590","display_name":null,"funder_award_id":"61973199","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/G8235577954","display_name":null,"funder_award_id":"2020R1A2B5B02002002","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/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"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/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046891697.pdf","grobid_xml":"https://content.openalex.org/works/W3046891697.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1525058602","https://openalex.org/W1968452087","https://openalex.org/W2001738877","https://openalex.org/W2021572715","https://openalex.org/W2036553018","https://openalex.org/W2049832558","https://openalex.org/W2055578803","https://openalex.org/W2065587018","https://openalex.org/W2079325629","https://openalex.org/W2082509256","https://openalex.org/W2099775999","https://openalex.org/W2138611498","https://openalex.org/W2139656224","https://openalex.org/W2140476622","https://openalex.org/W2149201868","https://openalex.org/W2167859864","https://openalex.org/W2342488082","https://openalex.org/W2382669442","https://openalex.org/W2417303548","https://openalex.org/W2462438590","https://openalex.org/W2495650206","https://openalex.org/W2503052844","https://openalex.org/W2542544907","https://openalex.org/W2600482227","https://openalex.org/W2754293579","https://openalex.org/W2767358489","https://openalex.org/W2781598313","https://openalex.org/W2793982551","https://openalex.org/W2795032789","https://openalex.org/W2804551196","https://openalex.org/W2807477133","https://openalex.org/W2887863297","https://openalex.org/W2892266476","https://openalex.org/W2897924629","https://openalex.org/W2945610248","https://openalex.org/W2963530188","https://openalex.org/W2968083060","https://openalex.org/W2984771622","https://openalex.org/W3000449132","https://openalex.org/W3001348425","https://openalex.org/W3002448192","https://openalex.org/W3010956229","https://openalex.org/W3013512999","https://openalex.org/W3013796518","https://openalex.org/W3023512840","https://openalex.org/W3043661245"],"related_works":["https://openalex.org/W2236428207","https://openalex.org/W4366387587","https://openalex.org/W2151706800","https://openalex.org/W4324123865","https://openalex.org/W2786287312","https://openalex.org/W1982788967","https://openalex.org/W2099646276","https://openalex.org/W4237517023","https://openalex.org/W2933707278","https://openalex.org/W3198935159"],"abstract_inverted_index":{"This":[0],"article":[1,95],"investigates":[2],"the":[3,22,32,40,61,64,70,73,85,99,103,119,127,135,150,168,171],"nonfragile$\\mathcal":[4],"{H}_{\\infty":[5,147],"}$synchronization":[6],"issue":[7],"for":[8],"a":[9,26,75,145],"class":[10],"of":[11,60,72,84,93,102,152,170],"discrete-time":[12],"Takagi\u2013Sugeno":[13],"(T\u2013S)":[14],"fuzzy":[15,24,45],"Markov":[16,104],"jump":[17],"systems.":[18],"With":[19],"regard":[20],"to":[21,37,52,108,166],"T\u2013S":[23],"model,":[25],"novel":[27],"processing":[28],"method":[29],"based":[30,125],"on":[31,126],"matrix":[33],"transformation":[34],"is":[35,80,132,140,164],"introduced":[36],"deal":[38],"with":[39,55,144],"double":[41],"summation":[42],"inequality":[43],"containing":[44],"weighting":[46],"functions,":[47],"which":[48],"may":[49,66],"be":[50,109],"beneficial":[51],"obtain":[53],"conditions":[54],"less":[56],"conservatism.":[57],"In":[58],"view":[59],"fact":[62],"that":[63,98,134],"uncertainties":[65],"occur":[67],"randomly":[68],"in":[69,97,149],"execution":[71],"actuator,":[74],"nonfragile":[76],"controller":[77],"design":[78],"scheme":[79],"presented":[81],"by":[82,118],"virtue":[83],"Bernoulli":[86],"distributed":[87],"white":[88],"sequence.":[89],"The":[90],"main":[91],"novelty":[92],"this":[94],"lies":[96],"transition":[100],"probabilities":[101],"chain":[105],"are":[106,116],"considered":[107],"piecewise":[110],"time-varying,":[111],"and":[112],"whose":[113],"variation":[114],"characteristics":[115],"described":[117],"persistent":[120],"dwell-time":[121],"switching":[122],"regularity.":[123],"Then,":[124],"Lyapunov":[128],"stability":[129],"theory,":[130],"it":[131],"concluded":[133],"resulting":[136],"synchronization":[137],"error":[138],"system":[139],"mean-square":[141],"exponentially":[142],"stable":[143],"prescribed$\\mathcal":[146],"}$performance":[148],"presence":[151],"actuator":[153],"gain":[154],"variations.":[155],"Finally,":[156],"an":[157],"illustrative":[158],"example":[159],"about":[160],"Lorenz":[161],"chaotic":[162],"systems":[163],"provided":[165],"show":[167],"effectiveness":[169],"established":[172],"results.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":55},{"year":2022,"cited_by_count":111},{"year":2021,"cited_by_count":86},{"year":2020,"cited_by_count":12}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}