{"id":"https://openalex.org/W3110697895","doi":"https://doi.org/10.7498/aps.64.070503","title":"Adaptive fuzzy synchronization for uncertain fractional-order chaotic systems with unknown non-symmetrical control gain","display_name":"Adaptive fuzzy synchronization for uncertain fractional-order chaotic systems with unknown non-symmetrical control gain","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W3110697895","doi":"https://doi.org/10.7498/aps.64.070503","mag":"3110697895"},"language":"en","primary_location":{"id":"doi:10.7498/aps.64.070503","doi":"https://doi.org/10.7498/aps.64.070503","is_oa":true,"landing_page_url":"https://doi.org/10.7498/aps.64.070503","pdf_url":null,"source":{"id":"https://openalex.org/S950076683","display_name":"Acta Physica Sinica","issn_l":"1000-3290","issn":["1000-3290"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319982","host_organization_name":"Science Press","host_organization_lineage":["https://openalex.org/P4310319982"],"host_organization_lineage_names":["Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Sinica","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.7498/aps.64.070503","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100392542","display_name":"Heng Liu","orcid":"https://orcid.org/0000-0003-3923-7526","observed_orcids":["https://orcid.org/0000-0003-3923-7526"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu Heng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103670800","display_name":"LI Sheng-gang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Sheng-Gang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012518350","display_name":"Yeguo Sun","orcid":"https://orcid.org/0000-0003-4510-9192","observed_orcids":["https://orcid.org/0000-0003-4510-9192"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun Ye-Guo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100732832","display_name":"Hongxing Wang","orcid":"https://orcid.org/0000-0003-2569-0821","observed_orcids":["https://orcid.org/0000-0003-2569-0821"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang Hong-Xing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6254,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95266199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"7","first_page":"070503","last_page":"070503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9032999873161316,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9032999873161316,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.031599998474121094,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.015599999576807022,"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/synchronization","display_name":"synchronization","score":0.5899999737739563},{"id":"https://openalex.org/keywords/fractional-order-chaotic-systems","display_name":"fractional-order chaotic systems","score":0.9879999756813049},{"id":"https://openalex.org/keywords/adaptive-fuzzy-control","display_name":"adaptive fuzzy control","score":0.9480000138282776},{"id":"https://openalex.org/keywords/fractional-lyapunov-stability","display_name":"fractional Lyapunov stability","score":0.7639999985694885},{"id":"https://openalex.org/keywords/fuzzy-systems","display_name":"fuzzy systems","score":0.7670000195503235},{"id":"https://openalex.org/keywords/quadratic-lyapunov-function","display_name":"quadratic Lyapunov function","score":0.8100000023841858},{"id":"https://openalex.org/keywords/asymptotic-convergence","display_name":"asymptotic convergence","score":0.6420000195503235}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6940690279006958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6010503172874451},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5935717821121216},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5926456451416016},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5068495869636536},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.48584291338920593},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4794794023036957},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44654467701911926},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4363250732421875},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43230724334716797},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4267398715019226},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.41894668340682983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2885354161262512},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.1319858431816101},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10725268721580505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.7498/aps.64.070503","doi":"https://doi.org/10.7498/aps.64.070503","is_oa":true,"landing_page_url":"https://doi.org/10.7498/aps.64.070503","pdf_url":null,"source":{"id":"https://openalex.org/S950076683","display_name":"Acta Physica Sinica","issn_l":"1000-3290","issn":["1000-3290"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319982","host_organization_name":"Science Press","host_organization_lineage":["https://openalex.org/P4310319982"],"host_organization_lineage_names":["Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Sinica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.7498/aps.64.070503","doi":"https://doi.org/10.7498/aps.64.070503","is_oa":true,"landing_page_url":"https://doi.org/10.7498/aps.64.070503","pdf_url":null,"source":{"id":"https://openalex.org/S950076683","display_name":"Acta Physica Sinica","issn_l":"1000-3290","issn":["1000-3290"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319982","host_organization_name":"Science Press","host_organization_lineage":["https://openalex.org/P4310319982"],"host_organization_lineage_names":["Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Sinica","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1512872876","https://openalex.org/W1555701677","https://openalex.org/W1810152575","https://openalex.org/W1966249117","https://openalex.org/W1970841109","https://openalex.org/W1972063701","https://openalex.org/W1991188002","https://openalex.org/W1994174469","https://openalex.org/W2004202105","https://openalex.org/W2006827383","https://openalex.org/W2014270903","https://openalex.org/W2020863265","https://openalex.org/W2021071519","https://openalex.org/W2021694351","https://openalex.org/W2023076762","https://openalex.org/W2031970152","https://openalex.org/W2046602995","https://openalex.org/W2047068000","https://openalex.org/W2050867220","https://openalex.org/W2054881597","https://openalex.org/W2062023162","https://openalex.org/W2069538852","https://openalex.org/W2081778053","https://openalex.org/W2090292899","https://openalex.org/W2092861539","https://openalex.org/W2092956574","https://openalex.org/W2094187171","https://openalex.org/W2095347830","https://openalex.org/W2115308069","https://openalex.org/W2144784132","https://openalex.org/W2152532612","https://openalex.org/W2177734441","https://openalex.org/W2240716513","https://openalex.org/W2268522931","https://openalex.org/W2283399844","https://openalex.org/W3112574493","https://openalex.org/W3117209622","https://openalex.org/W3117259890"],"related_works":["https://openalex.org/W2749693996","https://openalex.org/W3026555860","https://openalex.org/W4229865216","https://openalex.org/W2947968796","https://openalex.org/W1584823300","https://openalex.org/W2765911570","https://openalex.org/W2021071519","https://openalex.org/W2912098623","https://openalex.org/W2557498391","https://openalex.org/W2602811456"],"abstract_inverted_index":{"In":[0],"this":[1,148,155],"paper":[2],"the":[3,7,33,39,70,73,80,84,107,110,116,120,129,137,141,152,176,179],"synchronization":[4,121],"problem":[5],"for":[6,131,163],"uncertain":[8],"fractional-order":[9,142,172],"chaotic":[10,143],"systems":[11,28,144,166],"with":[12,57],"unknown":[13,34],"non-symmetrical":[14],"control":[15,40,158,171],"gain":[16,41],"matrices":[17],"is":[18,66,76,94,100,182],"investigated":[19],"by":[20,96,184],"means":[21],"of":[22,109,119,140,154,178],"adaptive":[23,90],"fuzzy":[24,91],"control.":[25],"Fuzzy":[26],"logic":[27],"are":[29,145,161],"employed":[30,77],"to":[31,68,78,170],"approximate":[32],"nonlinear":[35,165,173],"functions.":[36],"We":[37],"decompose":[38],"matrix":[42,56,65,75],"into":[43],"a":[44,48,54],"positive":[45,64],"definite":[46],"matrix,":[47,52],"unity":[49],"upper":[50],"triangular":[51],"and":[53],"diagonal":[55,58,74],"entries":[59],"+1":[60],"or":[61],"-1.":[62],"The":[63,102],"used":[67],"construct":[69],"Lyapunov":[71,86,134],"function;":[72],"design":[79],"controller.":[81],"Based":[82,150],"on":[83,151],"fractional":[85,97],"stability":[87,138],"theorem,":[88],"an":[89],"controller,":[92],"which":[93,160],"accompanied":[95],"adaptation":[98],"laws,":[99],"established.":[101],"proposed":[103,180],"methods":[104,130,159,181],"can":[105,167],"guarantee":[106],"boundedness":[108],"involved":[111],"signals":[112],"as":[113,115],"well":[114],"asymptotical":[117],"convergence":[118],"errors.":[122],"It":[123],"should":[124],"be":[125,168],"pointed":[126],"out":[127],"that":[128],"using":[132],"quadratic":[133],"function":[135],"in":[136,147],"analysis":[139],"developed":[146],"paper.":[149],"results":[153],"paper,":[156],"many":[157],"valid":[162],"integer-order":[164],"extended":[169],"systems.":[174],"Finally,":[175],"effectiveness":[177],"shown":[183],"simulation":[185],"studies.":[186]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-12-21T00:00:00"}
