{"id":"https://openalex.org/W2147467939","doi":"https://doi.org/10.1109/cdc.2004.1430206","title":"A controlled invariarice problem for the VTOL aircraft with bounded internal dynamics","display_name":"A controlled invariarice problem for the VTOL aircraft with bounded internal dynamics","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2147467939","doi":"https://doi.org/10.1109/cdc.2004.1430206","mag":"2147467939"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1430206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1430206","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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/A5048869539","display_name":"Luca Consolini","orcid":"https://orcid.org/0000-0002-3577-9398"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Consolini","raw_affiliation_strings":["Dipartimento di Ingegneria dellInformazione, University of Parma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dellInformazione, University of Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077595382","display_name":"Mario Tosques","orcid":"https://orcid.org/0000-0002-3710-7552"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Tosques","raw_affiliation_strings":["Dipartimento di Ingegneria Civile, University of Parma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile, University of Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2754,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.78271484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":null,"first_page":"1210","last_page":"1215 Vol.2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9986000061035156,"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":0.9986000061035156,"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/controllability","display_name":"Controllability","score":0.7881553173065186},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7565455436706543},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6413949728012085},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5694640874862671},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.5349883437156677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48473092913627625},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47602277994155884},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4511312246322632},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42257794737815857},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4177659749984741},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4146067202091217},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41300520300865173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3356313109397888},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3108404278755188},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16773390769958496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13442111015319824},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12885421514511108},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12615206837654114}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7881553173065186},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7565455436706543},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6413949728012085},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5694640874862671},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.5349883437156677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48473092913627625},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47602277994155884},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4511312246322632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42257794737815857},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4177659749984741},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4146067202091217},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41300520300865173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3356313109397888},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3108404278755188},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16773390769958496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13442111015319824},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12885421514511108},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12615206837654114},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2004.1430206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1430206","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2022525756","https://openalex.org/W2030307886","https://openalex.org/W2052750286","https://openalex.org/W2079121704","https://openalex.org/W2146048330","https://openalex.org/W2164224170","https://openalex.org/W2178013102"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W1496421768"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"a":[3,23,48,139,143],"problem":[4,41],"of":[5,17,47,76,110,112],"controlled":[6],"invariance":[7],"for":[8,58,132],"the":[9,15,18,27,31,34,56,70,73,77,87,92,95,133,136],"VTOL":[10],"aircraft,":[11],"namely":[12],"we":[13],"require":[14],"output":[16,28],"system":[19,79,104],"to":[20,91,121],"stay":[21],"on":[22,26],"given":[24],"curve":[25,35,89,97,137],"space,":[29],"with":[30],"requirement":[32],"that":[33,72],"must":[36],"be":[37,122],"followed":[38],"completely.":[39],"The":[40,64,100],"is":[42,98,105,119,138],"solved":[43],"essentially":[44],"by":[45,107],"means":[46],"Lyapunov":[49],"technique":[50],"which":[51],"recalls":[52],"some":[53,83,126],"results":[54,129],"from":[55],"theory":[57],"slowly":[59],"varying":[60],"nonautonomous":[61],"linear":[62],"systems.":[63],"main":[65],"obstacle":[66],"encountered":[67],"lies":[68],"in":[69,82],"fact":[71],"internal":[74],"dynamics":[75],"constrained":[78],"lose":[80],"controllability":[81],"\"critical":[84],"points\"":[85],"along":[86],"reference":[88,96],"(close":[90],"point":[93],"where":[94,135],"vertical).":[99],"overall":[101],"closed":[102],"loop":[103],"characterized":[106],"an":[108],"alternations":[109],"periods":[111],"stability":[113],"and":[114,116,142],"instability":[115],"its":[117],"state":[118],"proved":[120],"globally":[123],"stable":[124],"under":[125],"conditions.":[127],"Simulations":[128],"are":[130],"provided":[131],"cases":[134],"straight":[140],"line":[141],"circle.":[144]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}