{"id":"https://openalex.org/W2737204314","doi":"https://doi.org/10.1109/med.2017.7984128","title":"Formal verification of a gain scheduling control scheme","display_name":"Formal verification of a gain scheduling control scheme","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2737204314","doi":"https://doi.org/10.1109/med.2017.7984128","mag":"2737204314"},"language":"en","primary_location":{"id":"doi:10.1109/med.2017.7984128","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2017.7984128","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th Mediterranean Conference on Control and Automation (MED)","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/A5044126800","display_name":"Pablo J. Ord\u00f3\u00f1ez","orcid":"https://orcid.org/0000-0001-6799-7624"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Pablo Ordonez","raw_affiliation_strings":["Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013002854","display_name":"Andrew R. Mills","orcid":"https://orcid.org/0000-0002-6798-5284"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew R. Mills","raw_affiliation_strings":["Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008271568","display_name":"Tony J. Dodd","orcid":"https://orcid.org/0000-0001-6820-4526"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tony Dodd","raw_affiliation_strings":["Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Automatic Control and Systems Engineering Department, University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100678225","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0001-8762-2299"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044126800"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":0.2371,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56591477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"259","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12810","display_name":"Real-time simulation and control systems","score":0.9958000183105469,"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/model-checking","display_name":"Model checking","score":0.7302184700965881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7287158966064453},{"id":"https://openalex.org/keywords/airworthiness","display_name":"Airworthiness","score":0.7114087343215942},{"id":"https://openalex.org/keywords/gain-scheduling","display_name":"Gain scheduling","score":0.5904194712638855},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5687164068222046},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.5506184697151184},{"id":"https://openalex.org/keywords/certification","display_name":"Certification","score":0.5273455381393433},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.46945422887802124},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4676589071750641},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.40948688983917236},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3225918412208557},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14844182133674622}],"concepts":[{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.7302184700965881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7287158966064453},{"id":"https://openalex.org/C2777492932","wikidata":"https://www.wikidata.org/wiki/Q1093523","display_name":"Airworthiness","level":3,"score":0.7114087343215942},{"id":"https://openalex.org/C97090092","wikidata":"https://www.wikidata.org/wiki/Q764612","display_name":"Gain scheduling","level":3,"score":0.5904194712638855},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5687164068222046},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.5506184697151184},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.5273455381393433},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.46945422887802124},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4676589071750641},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.40948688983917236},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3225918412208557},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14844182133674622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/med.2017.7984128","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2017.7984128","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 25th Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.staffs.ac.uk:6237","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401113","display_name":"Staffordshire Online Repository (Staffordshire University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I198012923","host_organization_name":"University of Staffordshire","host_organization_lineage":["https://openalex.org/I198012923"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Book Chapter, Section or Conference Proceeding"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1498432697","https://openalex.org/W1578522335","https://openalex.org/W1747412957","https://openalex.org/W1920062304","https://openalex.org/W1965732719","https://openalex.org/W2027300760","https://openalex.org/W2038730444","https://openalex.org/W2041072368","https://openalex.org/W2044323243","https://openalex.org/W2056767516","https://openalex.org/W2058346510","https://openalex.org/W2150738847","https://openalex.org/W2165748475","https://openalex.org/W2171336720","https://openalex.org/W2185380916","https://openalex.org/W2198810324","https://openalex.org/W3115048538","https://openalex.org/W6637735000","https://openalex.org/W6788035111"],"related_works":["https://openalex.org/W23143464","https://openalex.org/W2364933337","https://openalex.org/W2536317110","https://openalex.org/W4312733571","https://openalex.org/W2006962382","https://openalex.org/W2149716943","https://openalex.org/W4315606162","https://openalex.org/W2340807904","https://openalex.org/W1547517160","https://openalex.org/W1483297389"],"abstract_inverted_index":{"Gain":[0],"scheduling":[1,141],"is":[2,21,41,51,112,143],"a":[3,30,68,114,139],"commonly":[4],"used":[5],"closed-loop":[6],"control":[7,26,69,82,135],"approach":[8],"for":[9,138],"safety":[10,48,74],"critical":[11],"non-linear":[12],"systems,":[13],"such":[14,67],"as":[15],"commercial":[16],"gas":[17],"turbine":[18],"engines.":[19],"It":[20],"preferred":[22],"over":[23],"more":[24],"advanced":[25],"strategies":[27],"due":[28],"to":[29,33,43,85,104,121,129],"known":[31],"route":[32],"certification.":[34],"Nonetheless,":[35],"the":[36,39,109,149,160,170,173],"stability":[37],"of":[38,66,80,172],"system":[40,70,124,136],"hard":[42],"prove":[44],"analytically,":[45],"and":[46,49,71,97,132,166],"consequently,":[47],"airworthiness":[50],"achieved":[52],"by":[53,75,154],"burdensome":[54],"extensive":[55],"testing.":[56],"Model":[57],"checking":[58],"can":[59,100,163],"aid":[60,171],"in":[61,145],"bringing":[62],"down":[63],"development":[64],"costs":[65],"simultaneously":[72],"improve":[73],"providing":[76],"guarantees":[77],"on":[78],"properties":[79],"embedded":[81],"systems.":[83],"Due":[84],"model-checking":[86,120],"exhaustive":[87],"verification":[88],"capabilities,":[89],"it":[90],"has":[91],"long":[92],"been":[93],"recognised":[94],"that":[95],"coverage":[96],"error-detection":[98],"rate":[99],"be":[101,164],"increased":[102],"compared":[103],"traditional":[105],"testing":[106],"methods.":[107],"However,":[108],"statespace":[110],"explosion":[111],"still":[113],"major":[115],"computational":[116,150],"limitation":[117],"when":[118],"applying":[119],"verify":[122,134],"dynamic":[123],"behaviour.":[125],"A":[126],"practical":[127],"methodology":[128],"incrementally":[130],"design":[131],"formally":[133],"requirements":[137],"gain":[140],"scheme":[142],"demonstrated":[144],"this":[146,158],"paper,":[147],"overcoming":[148],"constraints":[151],"traditionally":[152],"imposed":[153],"model":[155,174],"checking.":[156],"In":[157],"manner,":[159],"gain-scheduled":[161],"controller":[162],"efficiently":[165],"safely":[167],"generated":[168],"with":[169],"checker.":[175]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}