{"id":"https://openalex.org/W2783117480","doi":"https://doi.org/10.1109/cdc.2017.8263913","title":"Nonlinear stability and post-critical analysis of an uncertain plant with describing functions and integral quadratic constraints","display_name":"Nonlinear stability and post-critical analysis of an uncertain plant with describing functions and integral quadratic constraints","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2783117480","doi":"https://doi.org/10.1109/cdc.2017.8263913","mag":"2783117480"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8263913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263913","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research-information.bris.ac.uk/en/publications/646a74cb-7df8-47e6-8407-090d28372f8d","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070703646","display_name":"Andrea Iannelli","orcid":"https://orcid.org/0000-0002-1865-6978"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrea Iannelli","raw_affiliation_strings":["Department of Aerospace Engineering, University of Bristol, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Bristol, United Kingdom","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083434466","display_name":"Andr\u00e9s Marcos","orcid":"https://orcid.org/0000-0002-0116-6681"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andres Marcos","raw_affiliation_strings":["Department of Aerospace Engineering, University of Bristol, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Bristol, United Kingdom","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102771078","display_name":"Mark Lowenberg","orcid":"https://orcid.org/0000-0002-1373-8237"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark Lowenberg","raw_affiliation_strings":["Department of Aerospace Engineering, University of Bristol, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Bristol, United Kingdom","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1828","last_page":"1833"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social 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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.988099992275238,"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/quadratic-equation","display_name":"Quadratic equation","score":0.6628725528717041},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6527238488197327},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6287391185760498},{"id":"https://openalex.org/keywords/airfoil","display_name":"Airfoil","score":0.5874638557434082},{"id":"https://openalex.org/keywords/describing-function","display_name":"Describing function","score":0.5849175453186035},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5831055045127869},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5718803405761719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5652190446853638},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.48877522349357605},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4646330177783966},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4430219233036041},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4358944892883301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33391839265823364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18767130374908447},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13462340831756592}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6628725528717041},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6527238488197327},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6287391185760498},{"id":"https://openalex.org/C112124176","wikidata":"https://www.wikidata.org/wiki/Q4698744","display_name":"Airfoil","level":2,"score":0.5874638557434082},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.5849175453186035},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5831055045127869},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5718803405761719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5652190446853638},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.48877522349357605},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4646330177783966},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4430219233036041},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4358944892883301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33391839265823364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18767130374908447},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13462340831756592},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2017.8263913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8263913","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire/646a74cb-7df8-47e6-8407-090d28372f8d","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/646a74cb-7df8-47e6-8407-090d28372f8d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Iannelli, A, Marcos, A & Lowenberg, M 2018, Nonlinear stability and post-critical analysis of an uncertain plant with Describing Functions and Integral Quadratic Constraints. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers (IEEE), pp. 1828-1833. https://doi.org/10.1109/CDC.2017.8263913","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/646a74cb-7df8-47e6-8407-090d28372f8d","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85046128533&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:research-information.bris.ac.uk:publications/646a74cb-7df8-47e6-8407-090d28372f8d","is_oa":true,"landing_page_url":"https://hdl.handle.net/1983/646a74cb-7df8-47e6-8407-090d28372f8d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Iannelli, A, Marcos, A & Lowenberg, M 2018, Nonlinear stability and post-critical analysis of an uncertain plant with Describing Functions and Integral Quadratic Constraints. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers (IEEE), pp. 1828-1833. https://doi.org/10.1109/CDC.2017.8263913","raw_type":"contributionToPeriodical"}],"best_oa_location":{"id":"pmh:oai:research-information.bris.ac.uk:openaire/646a74cb-7df8-47e6-8407-090d28372f8d","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/646a74cb-7df8-47e6-8407-090d28372f8d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Iannelli, A, Marcos, A & Lowenberg, M 2018, Nonlinear stability and post-critical analysis of an uncertain plant with Describing Functions and Integral Quadratic Constraints. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers (IEEE), pp. 1828-1833. https://doi.org/10.1109/CDC.2017.8263913","raw_type":"contributionToPeriodical"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W173329990","https://openalex.org/W1579773745","https://openalex.org/W1966623192","https://openalex.org/W1988444789","https://openalex.org/W2026769037","https://openalex.org/W2065313971","https://openalex.org/W2088024474","https://openalex.org/W2097944741","https://openalex.org/W2112446957","https://openalex.org/W2312662123","https://openalex.org/W2331550141","https://openalex.org/W2408541880","https://openalex.org/W2584676353","https://openalex.org/W2745133983","https://openalex.org/W2798387615","https://openalex.org/W3195133498","https://openalex.org/W6742654551"],"related_works":["https://openalex.org/W2564887547","https://openalex.org/W2128719156","https://openalex.org/W2048494080","https://openalex.org/W2074607275","https://openalex.org/W2137542477","https://openalex.org/W2255935004","https://openalex.org/W1504030814","https://openalex.org/W1998036098","https://openalex.org/W2041646127","https://openalex.org/W4247207219"],"abstract_inverted_index":{"Two":[0],"approaches":[1],"to":[2,47,62,65,108,115],"tackle":[3],"the":[4,20,28,55,59,68,72,81,101,126],"nonlinear":[5],"robust":[6],"stability":[7,111],"problem":[8],"of":[9,19,32,41,54,58,71,91],"a":[10,17,92,120],"plant":[11],"are":[12],"considered.":[13],"The":[14,37,103],"first":[15,82],"employs":[16],"combination":[18],"Describing":[21],"Function":[22],"method":[23],"and":[24,49],"\u03bc":[25],"analysis,":[26],"while":[27],"second":[29],"makes":[30],"use":[31],"Integral":[33],"Quadratic":[34],"Constraints":[35],"(IQCs).":[36],"model":[38],"analyzed":[39],"consists":[40],"an":[42],"open-loop":[43],"wing's":[44],"airfoil":[45],"subject":[46],"freeplay":[48],"LTI":[50],"parametric":[51],"uncertainties.":[52],"One":[53],"main":[56],"contributions":[57],"work":[60],"is":[61,84,87,98,113],"provide":[63],"methodologies":[64],"quantitatively":[66],"determine":[67],"post-critical":[69],"behaviour":[70],"system,":[73],"known":[74],"as":[75],"Limit":[76],"Cycle":[77],"Oscillation":[78],"(LCO).":[79],"When":[80],"approach":[83],"adopted,":[85],"this":[86,116],"studied":[88],"by":[89,118],"means":[90],"worst-case":[93],"LCO":[94],"curve,":[95],"whose":[96],"definition":[97],"given":[99],"in":[100],"paper.":[102],"IQC":[104],"framework,":[105],"typically":[106],"used":[107],"find":[109],"asymptotic":[110],"certificates,":[112],"applied":[114],"scenario":[117],"introducing":[119],"restricted":[121],"sector":[122],"bound":[123],"condition":[124],"for":[125],"nonlinearity.":[127]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
