{"id":"https://openalex.org/W2944116325","doi":"https://doi.org/10.1155/2019/6954752","title":"The Exponential Stabilization of a Class of n\u2010D Chaotic Systems via the Exact Solution Method","display_name":"The Exponential Stabilization of a Class of n\u2010D Chaotic Systems via the Exact Solution Method","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2944116325","doi":"https://doi.org/10.1155/2019/6954752","mag":"2944116325"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6954752","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6954752","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/6954752.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2019/6954752.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083648528","display_name":"Runzi Luo","orcid":"https://orcid.org/0000-0001-7001-4713"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Runzi Luo","raw_affiliation_strings":["Department of Mathematics, Nanchang University, 330031, China","Department of Mathematics, Nanchang University, 330031"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086673983","display_name":"Jiaojiao Fu","orcid":"https://orcid.org/0000-0002-7951-2281"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaojiao Fu","raw_affiliation_strings":["Department of Mathematics, Nanchang University, 330031, China","Department of Mathematics, Nanchang University, 330031"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006911467","display_name":"Haipeng Su","orcid":"https://orcid.org/0000-0003-3432-4145"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haipeng Su","raw_affiliation_strings":["Department of Mathematics, Nanchang University, 330031, China","Department of Mathematics, Nanchang University, 330031"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, 330031","institution_ids":["https://openalex.org/I141649914"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083648528"],"corresponding_institution_ids":["https://openalex.org/I141649914"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.288,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53172943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994999766349792,"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":0.9994999766349792,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9939000010490417,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/chaotic","display_name":"Chaotic","score":0.7355078458786011},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6785556077957153},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6784894466400146},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5914861559867859},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.512701153755188},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5047348737716675},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5004138946533203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48328259587287903},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47022271156311035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4407097399234772},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4134741425514221},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2130049467086792},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20331412553787231},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10728761553764343},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08423900604248047},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06591874361038208}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7355078458786011},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6785556077957153},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6784894466400146},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5914861559867859},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.512701153755188},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5047348737716675},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5004138946533203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48328259587287903},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47022271156311035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4407097399234772},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4134741425514221},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2130049467086792},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20331412553787231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10728761553764343},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08423900604248047},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06591874361038208},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/6954752","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6954752","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/6954752.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6954752","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/6954752.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:1ae6be70c37446619734113d2b962b78","is_oa":true,"landing_page_url":"https://doaj.org/article/1ae6be70c37446619734113d2b962b78","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6954752","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6954752","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/6954752.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G192980655","display_name":null,"funder_award_id":"11361043","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2800974906","display_name":null,"funder_award_id":"20161BAB201008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4128686925","display_name":null,"funder_award_id":"20161BAB201008","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G4322259186","display_name":null,"funder_award_id":"11761050","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5848258319","display_name":null,"funder_award_id":"0 and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7731158594","display_name":null,"funder_award_id":"1176105","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/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2944116325.pdf","grobid_xml":"https://content.openalex.org/works/W2944116325.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1973429430","https://openalex.org/W2018874482","https://openalex.org/W2030118160","https://openalex.org/W2042762872","https://openalex.org/W2043598778","https://openalex.org/W2088252747","https://openalex.org/W2111468245","https://openalex.org/W2284325902","https://openalex.org/W2513393120","https://openalex.org/W2530170785","https://openalex.org/W2587815244","https://openalex.org/W2767132665","https://openalex.org/W2772396230","https://openalex.org/W2799911528","https://openalex.org/W2808112809","https://openalex.org/W2899566572"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W2151791215","https://openalex.org/W4394883359","https://openalex.org/W2005786916","https://openalex.org/W1602624896","https://openalex.org/W2379495416","https://openalex.org/W2068371111","https://openalex.org/W1996632312","https://openalex.org/W2002349705"],"abstract_inverted_index":{"This":[0],"paper":[1],"treats":[2],"the":[3,20,35,38,50,56,85,93],"exponential":[4,57],"stabilization":[5,58],"of":[6,9,30,37,59,62],"a":[7,60],"class":[8,61],"n\u2010D":[10,63],"chaotic":[11,64,71],"systems.":[12],"A":[13],"new":[14],"control":[15],"approach":[16],"which":[17,88],"is":[18,24,33,81,89],"called":[19],"exact":[21],"solution":[22,36],"method":[23,32],"presented.":[25,77],"The":[26,78],"most":[27],"important":[28],"feature":[29],"this":[31,54,98],"that":[34],"system":[39,72,80],"under":[40],"consideration":[41],"can":[42],"be":[43],"carefully":[44],"designed":[45],"to":[46,49,83],"converge":[47],"exponentially":[48],"origin.":[51],"Based":[52],"on":[53],"method,":[55],"systems":[65],"and":[66],"its":[67],"application":[68],"in":[69,97],"controlling":[70],"with":[73,92],"unknown":[74],"parameter":[75],"are":[76],"Genesio\u2010Tesi":[79],"taken":[82],"give":[84],"numerical":[86],"simulation":[87],"completely":[90],"consistent":[91],"theoretical":[94],"analysis":[95],"presented":[96],"paper.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-19T08:26:33.389920","created_date":"2025-10-10T00:00:00"}