{"id":"https://openalex.org/W2809060028","doi":"https://doi.org/10.1109/tac.2018.2849618","title":"Regional Analysis of Slope-Restricted Lurie Systems","display_name":"Regional Analysis of Slope-Restricted Lurie Systems","publication_year":2018,"publication_date":"2018-06-21","ids":{"openalex":"https://openalex.org/W2809060028","doi":"https://doi.org/10.1109/tac.2018.2849618","mag":"2809060028"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2849618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2849618","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01969685","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066966226","display_name":"Gi\u00f3rgio Valm\u00f3rbida","orcid":"https://orcid.org/0000-0002-1710-8590"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Giorgio Valmorbida","raw_affiliation_strings":["Inria projet DISCO","Laboratoire des signaux et syst\u00e8mes"],"affiliations":[{"raw_affiliation_string":"Inria projet DISCO","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064818238","display_name":"Ross Drummond","orcid":"https://orcid.org/0000-0002-2586-1718"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ross Drummond","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Oxford, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038299471","display_name":"Stephen Duncan","orcid":"https://orcid.org/0000-0002-9525-7305"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen R. Duncan","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Oxford, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066966226"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210097418"],"apc_list":null,"apc_paid":null,"fwci":3.1798,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.9227008,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"64","issue":"3","first_page":"1201","last_page":"1208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987000226974487,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987000226974487,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.998199999332428,"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":0.9958000183105469,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7181928753852844},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5800198912620544},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5738253593444824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5396596789360046},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5365246534347534},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5266687273979187},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4812750220298767},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48031869530677795},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4408573508262634},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43249285221099854},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41810142993927},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4158393442630768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3330783545970917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22884714603424072},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.153913676738739},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12241047620773315},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07422322034835815},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06308245658874512}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7181928753852844},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5800198912620544},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5738253593444824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5396596789360046},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5365246534347534},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5266687273979187},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4812750220298767},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48031869530677795},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4408573508262634},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43249285221099854},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41810142993927},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4158393442630768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3330783545970917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22884714603424072},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.153913676738739},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12241047620773315},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07422322034835815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06308245658874512},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":3,"locations":[{"id":"doi:10.1109/tac.2018.2849618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2849618","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"},{"id":"pmh:oai:eprints.whiterose.ac.uk:209075","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:HAL:hal-01969685v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01969685","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IEEE Transactions on Automatic Control, 2018, 64 (3), pp.1201-1208. &#x27E8;10.1109/tac.2018.2849618&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01969685v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01969685","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IEEE Transactions on Automatic Control, 2018, 64 (3), pp.1201-1208. &#x27E8;10.1109/tac.2018.2849618&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G6100595928","display_name":null,"funder_award_id":"J010537/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6936717642","display_name":null,"funder_award_id":"EP/P005411/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1974183644","https://openalex.org/W1981201107","https://openalex.org/W1982756269","https://openalex.org/W1985255908","https://openalex.org/W1985316685","https://openalex.org/W1994221686","https://openalex.org/W2006736427","https://openalex.org/W2020479698","https://openalex.org/W2028032269","https://openalex.org/W2028693429","https://openalex.org/W2028717619","https://openalex.org/W2049631803","https://openalex.org/W2063493327","https://openalex.org/W2075794856","https://openalex.org/W2083365871","https://openalex.org/W2084233036","https://openalex.org/W2085582194","https://openalex.org/W2110257364","https://openalex.org/W2113377036","https://openalex.org/W2141054151","https://openalex.org/W2149249236","https://openalex.org/W2152421112","https://openalex.org/W2160990899","https://openalex.org/W2169615838","https://openalex.org/W2187099408","https://openalex.org/W2290074343","https://openalex.org/W2343586644","https://openalex.org/W2491799359","https://openalex.org/W2683261333","https://openalex.org/W4244799121"],"related_works":["https://openalex.org/W4292026839","https://openalex.org/W4283708569","https://openalex.org/W2101859637","https://openalex.org/W4327639156","https://openalex.org/W1971893211","https://openalex.org/W2117470699","https://openalex.org/W2234502090","https://openalex.org/W4388874082","https://openalex.org/W1793337513","https://openalex.org/W4294611394"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,12,36,62,65,73,78,81],"stability":[4],"analysis":[5],"of":[6,29,80],"nonlinear":[7],"Lurie":[8],"type":[9],"systems":[10],"where":[11],"nonlinearity":[13,66],"is":[14,58],"both":[15,61],"(locally)":[16],"sector":[17],"and":[18,32,64,67],"slope":[19],"restricted.":[20],"Convex":[21],"conditions":[22,52],"for":[23],"verifying":[24],"stability,":[25],"computing":[26],"outer":[27],"estimates":[28],"reachable":[30],"sets,":[31],"upper":[33],"bounds":[34],"on":[35,60,72],"induced":[37],"L":[38],"<sub":[39],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[41],"gain":[42],"in":[43],"a":[44,54],"local":[45],"or":[46],"global":[47],"domain":[48],"are":[49],"proposed.":[50],"The":[51],"use":[53],"Lyapunov":[55],"function":[56],"that":[57],"quadratic":[59],"states":[63],"has":[68],"an":[69],"integral":[70],"term":[71],"nonlinearity.":[74],"Numerical":[75],"examples":[76],"outline":[77],"benefits":[79],"proposed":[82],"approach.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}