{"id":"https://openalex.org/W2073981725","doi":"https://doi.org/10.1155/2015/357930","title":"Taming Chaos by Linear Regulation with Bound Estimation","display_name":"Taming Chaos by Linear Regulation with Bound Estimation","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2073981725","doi":"https://doi.org/10.1155/2015/357930","mag":"2073981725"},"language":"en","primary_location":{"id":"doi:10.1155/2015/357930","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/357930","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/357930.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2015/357930.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007202295","display_name":"Jiqiang Wang","orcid":"https://orcid.org/0000-0002-1317-0880"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiqiang Wang","raw_affiliation_strings":["Jiangsu Province Key Laboratory of Aerospace Power Systems, College of Energy & Power Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Province Key Laboratory of Aerospace Power Systems, College of Energy & Power Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021294396","display_name":"Weijian Chen","orcid":"https://orcid.org/0000-0001-6776-4492"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijian Chen","raw_affiliation_strings":["College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, 29 Yudao Street, Nanjing 210016, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007202295"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05443537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2015","issue":null,"first_page":"1","last_page":"8"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9836000204086304,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9775000214576721,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.760135293006897},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.721444308757782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6657767295837402},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6544823050498962},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.6083407402038574},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.5563353300094604},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.5385322570800781},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.49518290162086487},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48925137519836426},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4729200005531311},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.450337678194046},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4379418194293976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28468573093414307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19813039898872375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09220370650291443}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.760135293006897},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.721444308757782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6657767295837402},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6544823050498962},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6083407402038574},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.5563353300094604},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.5385322570800781},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.49518290162086487},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48925137519836426},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4729200005531311},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.450337678194046},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4379418194293976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28468573093414307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19813039898872375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09220370650291443},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2015/357930","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/357930","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/357930.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1434042412","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1434042412","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:357930","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2015/357930.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:c0d0458a2cc24c6b9a5b05749c586644","is_oa":false,"landing_page_url":"https://doaj.org/article/c0d0458a2cc24c6b9a5b05749c586644","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2015 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2015/357930","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/357930","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/357930.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G7057642246","display_name":null,"funder_award_id":"BK20140829","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G7643199762","display_name":null,"funder_award_id":"1401017B","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335473","display_name":"Postdoctoral Science Foundation of Jiangsu Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2073981725.pdf","grobid_xml":"https://content.openalex.org/works/W2073981725.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1969562897","https://openalex.org/W1984850264","https://openalex.org/W1994275134","https://openalex.org/W2001811588","https://openalex.org/W2016230966","https://openalex.org/W2018874482","https://openalex.org/W2021696231","https://openalex.org/W2024667987","https://openalex.org/W2037413229","https://openalex.org/W2042865640","https://openalex.org/W2050065886","https://openalex.org/W2063974235","https://openalex.org/W2068551947","https://openalex.org/W2072456901","https://openalex.org/W2078786237","https://openalex.org/W2082191644","https://openalex.org/W2150127056","https://openalex.org/W2170052723","https://openalex.org/W4236996137","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2392447668","https://openalex.org/W1496745782","https://openalex.org/W2065261666","https://openalex.org/W1964793283","https://openalex.org/W2382755812","https://openalex.org/W2000643291","https://openalex.org/W2109091348","https://openalex.org/W2124781850","https://openalex.org/W2035314220","https://openalex.org/W2384062450"],"abstract_inverted_index":{"Chaos":[0],"control":[1,17,69],"has":[2],"become":[3],"an":[4],"important":[5],"area":[6],"of":[7,37,44,47],"research":[8],"and":[9,57,81,98],"consequently":[10],"many":[11],"approaches":[12,30],"have":[13],"been":[14],"proposed":[15,51],"to":[16,62,86],"chaos.":[18],"This":[19],"paper":[20],"proposes":[21],"a":[22],"linear":[23],"regulation":[24],"method.":[25],"Different":[26],"from":[27],"the":[28,41,45,48,87,90,94,99,104],"existing":[29],"is":[31],"that":[32,68],"it":[33],"can":[34,58],"provide":[35],"region":[36],"attraction":[38],"while":[39],"estimating":[40],"bounding":[42],"behaviour":[43],"norm":[46],"states.":[49],"The":[50,84],"method":[52],"also":[53],"possesses":[54],"design":[55],"flexibility":[56],"be":[59,72],"easily":[60],"used":[61],"cater":[63],"for":[64],"special":[65],"requirement":[66],"such":[67],"signal":[70],"should":[71],"generated":[73],"via":[74],"single":[75,77],"input,":[76],"state,":[78],"static":[79],"feedback":[80],"so":[82],"forth.":[83],"applications":[85],"Tigan":[88],"system,":[89,93,97],"Genesio":[91],"chaotic":[92,96,101],"novel":[95],"Lorenz":[100],"system":[102],"justify":[103],"above":[105],"claims.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}