{"id":"https://openalex.org/W2329768458","doi":"https://doi.org/10.1109/tcsii.2016.2534798","title":"Globally Stable Synchronization of Chaotic Systems Based on Norm Observers Connected in Cascade","display_name":"Globally Stable Synchronization of Chaotic Systems Based on Norm Observers Connected in Cascade","publication_year":2016,"publication_date":"2016-02-25","ids":{"openalex":"https://openalex.org/W2329768458","doi":"https://doi.org/10.1109/tcsii.2016.2534798","mag":"2329768458"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2016.2534798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2016.2534798","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089901177","display_name":"Victor Hugo Pereira Rodrigues","orcid":"https://orcid.org/0000-0002-1600-7704"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Victor Hugo Pereira Rodrigues","raw_affiliation_strings":["Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil","institution_ids":["https://openalex.org/I40034438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087451137","display_name":"Tiago Roux Oliveira","orcid":"https://orcid.org/0000-0002-2232-8715"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tiago Roux Oliveira","raw_affiliation_strings":["Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil","institution_ids":["https://openalex.org/I40034438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033067341","display_name":"Jos\u00e9 Paulo V. S. Cunha","orcid":"https://orcid.org/0000-0001-6120-9789"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jose Paulo V. S. Cunha","raw_affiliation_strings":["Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro-RJ, Brazil","institution_ids":["https://openalex.org/I40034438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089901177"],"corresponding_institution_ids":["https://openalex.org/I40034438"],"apc_list":null,"apc_paid":null,"fwci":0.663,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.70184945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"9","first_page":"883","last_page":"887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987999796867371,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.7493224740028381},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6991384625434875},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6113842129707336},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.5534751415252686},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.544154942035675},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5351582169532776},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.4809788465499878},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.46904855966567993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4433598816394806},{"id":"https://openalex.org/keywords/secure-communication","display_name":"Secure communication","score":0.4415542483329773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44130992889404297},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4405773878097534},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43826085329055786},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.41583240032196045},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2675623297691345},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18866237998008728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07543468475341797}],"concepts":[{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.7493224740028381},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6991384625434875},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6113842129707336},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.5534751415252686},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.544154942035675},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5351582169532776},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.4809788465499878},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.46904855966567993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4433598816394806},{"id":"https://openalex.org/C510870077","wikidata":"https://www.wikidata.org/wiki/Q7444868","display_name":"Secure communication","level":3,"score":0.4415542483329773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44130992889404297},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4405773878097534},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43826085329055786},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.41583240032196045},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2675623297691345},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18866237998008728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07543468475341797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2016.2534798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2016.2534798","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1592648094","https://openalex.org/W1970120985","https://openalex.org/W1970442252","https://openalex.org/W2020860416","https://openalex.org/W2035506160","https://openalex.org/W2041996120","https://openalex.org/W2048502037","https://openalex.org/W2060759080","https://openalex.org/W2063562353","https://openalex.org/W2065176053","https://openalex.org/W2074618998","https://openalex.org/W2081785093","https://openalex.org/W2085755410","https://openalex.org/W2096550747","https://openalex.org/W2096668061","https://openalex.org/W2109053541","https://openalex.org/W2121339475","https://openalex.org/W2123155498","https://openalex.org/W2131413806","https://openalex.org/W2137069163","https://openalex.org/W2141058496","https://openalex.org/W2141394518","https://openalex.org/W2142587090","https://openalex.org/W2144412918","https://openalex.org/W2152993703","https://openalex.org/W2158219764","https://openalex.org/W2161171568","https://openalex.org/W2166348529","https://openalex.org/W2168167439","https://openalex.org/W4235533833","https://openalex.org/W4238000550","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2379832015","https://openalex.org/W2141286166","https://openalex.org/W4313812369","https://openalex.org/W2109269885","https://openalex.org/W2379868434","https://openalex.org/W2385590616","https://openalex.org/W2015320199","https://openalex.org/W2370291258","https://openalex.org/W2034091048","https://openalex.org/W2376182224"],"abstract_inverted_index":{"The":[0,90],"synchronization":[1,71,113],"of":[2,16,26,34,43,49,61,65,79,93,114,139],"chaotic":[3,66,95,116],"systems":[4,86,96],"is":[5,72],"achieved":[6],"using":[7,126],"output-feedback":[8],"sliding":[9],"mode":[10],"control":[11,36],"even":[12],"in":[13,21],"the":[14,27,32,35,41,50,69,76,80,94,111,137,140],"presence":[15],"disturbances.":[17],"Norm":[18],"observers":[19],"connected":[20],"cascade":[22],"estimate":[23],"upper":[24],"bounds":[25],"state":[28,51],"variables":[29],"required":[30],"for":[31],"realization":[33],"law.":[37],"This":[38],"approach":[39],"allows":[40,100],"proof":[42],"global":[44,70],"stability":[45,56],"and":[46,58,83,105,118,131],"exponential":[47],"convergence":[48],"errors":[52],"based":[53],"on":[54],"Lyapunov's":[55],"theory":[57],"input-to-state-stability":[59],"properties":[60],"a":[62,122,127],"broad":[63],"class":[64],"systems.":[67],"Thus,":[68],"guaranteed":[73],"such":[74],"that":[75],"initial":[77],"conditions":[78],"master":[81],"(transmitter)":[82],"slave":[84],"(receiver)":[85],"can":[87],"be":[88],"arbitrary.":[89],"unified":[91],"formulation":[92],"with":[97],"time-varying":[98,128],"parameters":[99],"periodic":[101],"switching":[102],"between":[103],"Lorenz":[104],"Chen":[106],"attractors.":[107],"Simulation":[108],"results":[109],"illustrate":[110],"fast":[112],"master-slave":[115],"oscillators":[117],"their":[119],"application":[120],"to":[121],"secure":[123],"communication":[124],"system":[125],"cryptographic":[129],"key":[130],"nonlinear":[132],"encryption":[133],"functions,":[134],"which":[135],"improve":[136],"privacy":[138],"proposed":[141],"scheme.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}