{"id":"https://openalex.org/W3010732235","doi":"https://doi.org/10.1109/cdc40024.2019.9029190","title":"Normal Form and Exact Feedback Linearisation of Nonlinear Stochastic Systems: the Ideal Case","display_name":"Normal Form and Exact Feedback Linearisation of Nonlinear Stochastic Systems: the Ideal Case","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3010732235","doi":"https://doi.org/10.1109/cdc40024.2019.9029190","mag":"3010732235"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029190","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5077810292","display_name":"Alberto Mellone","orcid":"https://orcid.org/0000-0001-8580-2237"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alberto Mellone","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053775140","display_name":"Giordano Scarciotti","orcid":"https://orcid.org/0000-0001-5807-9004"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Giordano Scarciotti","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077810292"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.8422,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75493319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":null,"first_page":"3503","last_page":"3508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9968000054359436,"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/T11236","display_name":"Control Systems and Identification","score":0.9968000054359436,"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":0.9955000281333923,"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/T10244","display_name":"Chaos control and synchronization","score":0.9926999807357788,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7617493867874146},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6627290844917297},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5384243726730347},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5337710380554199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5032646059989929},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.494342565536499},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41915425658226013},{"id":"https://openalex.org/keywords/strict-feedback-form","display_name":"Strict-feedback form","score":0.4129164218902588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38828206062316895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3696010112762451},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23620638251304626},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.16972267627716064}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7617493867874146},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6627290844917297},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5384243726730347},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5337710380554199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5032646059989929},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.494342565536499},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41915425658226013},{"id":"https://openalex.org/C121047784","wikidata":"https://www.wikidata.org/wiki/Q7623607","display_name":"Strict-feedback form","level":5,"score":0.4129164218902588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38828206062316895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3696010112762451},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23620638251304626},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.16972267627716064},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029190","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/79113","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/79113","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2019 IEEE Conference on Decision and Control (CDC)","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1516750454","https://openalex.org/W1525883337","https://openalex.org/W1802196594","https://openalex.org/W1972172122","https://openalex.org/W1998112257","https://openalex.org/W2009988524","https://openalex.org/W2038997661","https://openalex.org/W2040298299","https://openalex.org/W2050540557","https://openalex.org/W2051311742","https://openalex.org/W2076809784","https://openalex.org/W2100075327","https://openalex.org/W2165223089","https://openalex.org/W2578416453","https://openalex.org/W2969009390","https://openalex.org/W2996524046","https://openalex.org/W3133629839","https://openalex.org/W3207781852","https://openalex.org/W4210913181","https://openalex.org/W4238187298","https://openalex.org/W4253934306","https://openalex.org/W4292872153","https://openalex.org/W6791245552","https://openalex.org/W6802135958"],"related_works":["https://openalex.org/W2399035783","https://openalex.org/W3161230432","https://openalex.org/W4367190712","https://openalex.org/W2168900540","https://openalex.org/W1487201914","https://openalex.org/W4301429470","https://openalex.org/W280458463","https://openalex.org/W171914860","https://openalex.org/W2060317829","https://openalex.org/W4249297485"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,32,35,42,45,55,72,75,94,99,124],"concepts":[4],"of":[5,41,57,74,98],"stochastic":[6,19,26,58,95],"relative":[7,59,96],"degree,":[8],"normal":[9,85],"form":[10],"and":[11,34,44,54,68,113],"exact":[12],"feedback":[13],"linearisation":[14],"for":[15,103],"single-input":[16],"single-output":[17],"nonlinear":[18,39,115],"systems.":[20],"The":[21],"systems":[22],"are":[23,38],"defined":[24],"by":[25],"differential":[27,52],"equations":[28],"in":[29],"which":[30,82],"both":[31],"drift":[33],"diffusion":[36],"terms":[37],"functions":[40],"states":[43],"control":[46],"input.":[47],"First,":[48],"we":[49,62,69,83,88],"define":[50],"new":[51],"operators":[53],"concept":[56],"degree.":[60],"Then":[61],"introduce":[63],"a":[64,79,91,110,114],"suitable":[65],"coordinate":[66,111],"change":[67,112],"show":[70,89],"that":[71,90],"dynamics":[73],"transformed":[76],"state":[77],"has":[78],"simplified":[80],"structure,":[81],"name":[84],"form.":[86],"Finally,":[87],"condition":[92],"on":[93],"degree":[97],"system":[100],"is":[101],"sufficient":[102],"it":[104],"to":[105,122],"be":[106],"rendered":[107],"linear":[108],"via":[109],"feedback.":[116],"We":[117],"provide":[118],"an":[119],"analytical":[120],"example":[121],"illustrate":[123],"theory.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}