{"id":"https://openalex.org/W2544755601","doi":"https://doi.org/10.1080/00207721.2016.1216202","title":"Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems","display_name":"Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems","publication_year":2016,"publication_date":"2016-08-09","ids":{"openalex":"https://openalex.org/W2544755601","doi":"https://doi.org/10.1080/00207721.2016.1216202","mag":"2544755601"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2016.1216202","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1216202","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5100322352","display_name":"Liang Liu","orcid":"https://orcid.org/0000-0002-2434-1040"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang Liu","raw_affiliation_strings":["College of Engineering, Bohai University, Jinzhou, China; School of Automation, Nanjing University of Science and Technology, Nanjing, China","College of Engineering, Bohai University, Jinzhou, China","School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering, Bohai University, Jinzhou, China; School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199","https://openalex.org/I97009856"]},{"raw_affiliation_string":"College of Engineering, Bohai University, Jinzhou, China","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101985990","display_name":"Yifan Zhang","orcid":"https://orcid.org/0009-0003-4775-8927"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifan Zhang","raw_affiliation_strings":["College of Mathematics and Physics, Bohai University, Jinzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Bohai University, Jinzhou, China","institution_ids":["https://openalex.org/I97009856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100322352"],"corresponding_institution_ids":["https://openalex.org/I36399199","https://openalex.org/I97009856"],"apc_list":null,"apc_paid":null,"fwci":1.1173,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8070829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"4","first_page":"838","last_page":"848"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/control-theory","display_name":"Control theory (sociology)","score":0.7899788022041321},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7082862854003906},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5303728580474854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.509980320930481},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5019488334655762},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48457086086273193},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4720034599304199},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.4714839458465576},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46671316027641296},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.46556922793388367},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.4629889726638794},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4134274423122406},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4120892584323883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3411157429218292},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3382711410522461},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32655683159828186}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7899788022041321},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7082862854003906},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5303728580474854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.509980320930481},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5019488334655762},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48457086086273193},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4720034599304199},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.4714839458465576},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46671316027641296},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.46556922793388367},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.4629889726638794},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4134274423122406},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4120892584323883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3411157429218292},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3382711410522461},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32655683159828186},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2016.1216202","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1216202","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:48:y:2017:i:4:p:838-848","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2016.1216202","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1468100431","display_name":null,"funder_award_id":"61403041","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5551356591","display_name":null,"funder_award_id":"2016T90462","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G869690635","display_name":null,"funder_award_id":"2015M580435","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1575537016","https://openalex.org/W1652292338","https://openalex.org/W1964653470","https://openalex.org/W1977678345","https://openalex.org/W1980301106","https://openalex.org/W1987615627","https://openalex.org/W1992029199","https://openalex.org/W1994740168","https://openalex.org/W2000825814","https://openalex.org/W2001882937","https://openalex.org/W2006541295","https://openalex.org/W2009358058","https://openalex.org/W2014729448","https://openalex.org/W2020588201","https://openalex.org/W2025542746","https://openalex.org/W2030712294","https://openalex.org/W2039262501","https://openalex.org/W2041326027","https://openalex.org/W2047205668","https://openalex.org/W2050347131","https://openalex.org/W2051054522","https://openalex.org/W2053860764","https://openalex.org/W2057038135","https://openalex.org/W2057593185","https://openalex.org/W2061780841","https://openalex.org/W2065439008","https://openalex.org/W2072725124","https://openalex.org/W2075680258","https://openalex.org/W2078540336","https://openalex.org/W2089998130","https://openalex.org/W2109671399","https://openalex.org/W2143789812","https://openalex.org/W2150659431","https://openalex.org/W2155639466","https://openalex.org/W2161470655","https://openalex.org/W2175616449","https://openalex.org/W2177824578","https://openalex.org/W2258832367","https://openalex.org/W2289296820"],"related_works":["https://openalex.org/W1971360108","https://openalex.org/W2388243139","https://openalex.org/W2043442117","https://openalex.org/W2147578878","https://openalex.org/W2127408363","https://openalex.org/W1496660757","https://openalex.org/W2056574867","https://openalex.org/W2075335918","https://openalex.org/W2424990210","https://openalex.org/W3153881874"],"abstract_inverted_index":{"Under":[0],"the":[1,5,14,35,52,65,69,81,97,100],"weaker":[2],"conditions":[3],"on":[4,13],"drift":[6],"and":[7,62],"diffusion":[8],"terms,":[9],"this":[10],"paper":[11],"focuses":[12],"global":[15],"decentralised":[16,70],"output-feedback":[17,71],"control":[18],"for":[19,75],"a":[20],"class":[21],"of":[22,99],"large-scale":[23],"stochastic":[24,57],"high-order":[25],"upper-triangular":[26],"nonlinear":[27,58],"systems.":[28],"By":[29],"introducing":[30],"an":[31,41],"appropriate":[32],"coordinate":[33],"transformation,":[34],"original":[36],"system":[37,83],"is":[38,73,84,93],"transformed":[39],"into":[40],"equivalent":[42],"one":[43],"with":[44,56],"tunable":[45],"gain.":[46],"After":[47],"that,":[48],"by":[49],"reasonably":[50],"combing":[51],"homogeneous":[53],"domination":[54],"approach":[55],"systems":[59],"stability":[60],"criterion,":[61],"skillfully":[63],"choosing":[64],"low":[66],"gain":[67],"scale,":[68],"controller":[72],"constructed":[74],"each":[76],"subsystem":[77],"to":[78,95],"ensure":[79],"that":[80],"closed-loop":[82],"globally":[85],"asymptotically":[86],"stable":[87],"in":[88],"probability.":[89],"The":[90],"simulation":[91],"example":[92],"given":[94],"demonstrate":[96],"effectiveness":[98],"proposed":[101],"design":[102],"scheme.":[103]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
