{"id":"https://openalex.org/W2150659431","doi":"https://doi.org/10.1109/tac.2011.2135150","title":"State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics","display_name":"State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics","publication_year":2011,"publication_date":"2011-04-06","ids":{"openalex":"https://openalex.org/W2150659431","doi":"https://doi.org/10.1109/tac.2011.2135150","mag":"2150659431"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2011.2135150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2135150","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5100746279","display_name":"Xue\u2010Jun Xie","orcid":"https://orcid.org/0000-0003-2656-6347"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue-Jun Xie","raw_affiliation_strings":["Institute of Automation, Qufu Normal University, Qufu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation, Qufu Normal University, Qufu, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091368964","display_name":"Na Duan","orcid":"https://orcid.org/0000-0001-7152-3616"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Duan","raw_affiliation_strings":["School of Electrical Engineering and Automation, XuZhou Normal University of China, Xuzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, XuZhou Normal University of China, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100649041","display_name":"Xin Yu","orcid":"https://orcid.org/0000-0003-2000-7800"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Yu","raw_affiliation_strings":["School of Automation, South-East University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":26.6846,"has_fulltext":false,"cited_by_count":129,"citation_normalized_percentile":{"value":0.99625163,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"56","issue":"8","first_page":"1921","last_page":"1926"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":1.0,"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":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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":0.9975000023841858,"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/control-theory","display_name":"Control theory (sociology)","score":0.6686840057373047},{"id":"https://openalex.org/keywords/inverse-dynamics","display_name":"Inverse dynamics","score":0.6673873662948608},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6356548070907593},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5879645943641663},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5652003288269043},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5038580298423767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4998946189880371},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4879138171672821},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.42206281423568726},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4180568754673004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41470855474472046},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4116886556148529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3617491126060486},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31447333097457886},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31037747859954834},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.22438856959342957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11923754215240479},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.0945684015750885},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0743120014667511},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0624975860118866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06044897437095642}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6686840057373047},{"id":"https://openalex.org/C187523126","wikidata":"https://www.wikidata.org/wiki/Q17098330","display_name":"Inverse dynamics","level":3,"score":0.6673873662948608},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6356548070907593},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5879645943641663},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5652003288269043},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5038580298423767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4998946189880371},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4879138171672821},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.42206281423568726},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4180568754673004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41470855474472046},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4116886556148529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3617491126060486},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31447333097457886},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31037747859954834},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.22438856959342957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11923754215240479},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0945684015750885},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0743120014667511},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0624975860118866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06044897437095642},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2011.2135150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2135150","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W135187602","https://openalex.org/W1977678345","https://openalex.org/W1977997576","https://openalex.org/W2014413483","https://openalex.org/W2014729448","https://openalex.org/W2017271394","https://openalex.org/W2017493230","https://openalex.org/W2026263284","https://openalex.org/W2029342360","https://openalex.org/W2030888302","https://openalex.org/W2032633052","https://openalex.org/W2044636416","https://openalex.org/W2050693590","https://openalex.org/W2053860764","https://openalex.org/W2058243742","https://openalex.org/W2072725124","https://openalex.org/W2080209002","https://openalex.org/W2084729396","https://openalex.org/W2088303388","https://openalex.org/W2102592494","https://openalex.org/W2153392494","https://openalex.org/W2161470655","https://openalex.org/W2162282221","https://openalex.org/W2162750481","https://openalex.org/W2171658369","https://openalex.org/W6605505009","https://openalex.org/W7005989935"],"related_works":["https://openalex.org/W1993031470","https://openalex.org/W2126837612","https://openalex.org/W2163734300","https://openalex.org/W2218699221","https://openalex.org/W1996614427","https://openalex.org/W4250731847","https://openalex.org/W2154838079","https://openalex.org/W3109286255","https://openalex.org/W2924170685","https://openalex.org/W2733985482"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"considers":[3],"a":[4],"class":[5],"of":[6,43,55],"high-order":[7],"stochastic":[8,12,27],"nonlinear":[9],"systems":[10],"with":[11],"integral":[13],"input-to-state":[14],"stability":[15],"(SiISS)":[16],"inverse":[17,28],"dynamics,":[18],"and":[19,21,30,37,63],"drift":[20],"diffusion":[22],"terms":[23],"depending":[24],"upon":[25],"the":[26,32,41,53,56,64],"dynamics":[29],"all":[31,52],"states.":[33],"A":[34],"new":[35],"design":[36],"analysis":[38],"approach":[39],"to":[40,49,69],"problem":[42],"state-feedback":[44],"global":[45],"regulation":[46],"is":[47],"developed":[48],"guarantee":[50],"that":[51],"signals":[54],"closed-loop":[57],"system":[58],"are":[59],"bounded":[60],"almost":[61,71],"surely":[62],"states":[65],"can":[66],"be":[67],"regulated":[68],"zero":[70],"surely.":[72]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}