{"id":"https://openalex.org/W2899633464","doi":"https://doi.org/10.23919/ecc.2019.8795964","title":"Strongly unimodal systems","display_name":"Strongly unimodal systems","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2899633464","doi":"https://doi.org/10.23919/ecc.2019.8795964","mag":"2899633464"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8795964","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795964","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.03986","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077723724","display_name":"Christian Gru\u00dfler","orcid":"https://orcid.org/0000-0003-2437-3154"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christian Grussler","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, United Kingdom","Control Group University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Control Group University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rodolphe Sepulchre","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, United Kingdom","Control Group, University of Cambridge Department of Engineering, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Control Group, University of Cambridge Department of Engineering, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3273","last_page":"3278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9919999837875366,"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":0.9919999837875366,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9865999817848206,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9850000143051147,"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/unimodality","display_name":"Unimodality","score":0.9354249238967896},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.808941125869751},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6835795640945435},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5918591618537903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5294114351272583},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.42394939064979553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41253432631492615},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3945000469684601},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3900771141052246},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3425382673740387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2745959758758545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26162227988243103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19862100481987},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12277626991271973},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09844857454299927}],"concepts":[{"id":"https://openalex.org/C21596040","wikidata":"https://www.wikidata.org/wiki/Q2896771","display_name":"Unimodality","level":2,"score":0.9354249238967896},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.808941125869751},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6835795640945435},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5918591618537903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5294114351272583},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.42394939064979553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41253432631492615},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3945000469684601},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3900771141052246},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3425382673740387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2745959758758545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26162227988243103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19862100481987},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12277626991271973},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09844857454299927},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23919/ecc.2019.8795964","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795964","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1811.03986","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.03986","pdf_url":"https://arxiv.org/pdf/1811.03986","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2899633464","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1811.03986","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:generic.eprints.org:1036932","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/1036932/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"doi:10.48550/arxiv.1811.03986","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.03986","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1811.03986","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.03986","pdf_url":"https://arxiv.org/pdf/1811.03986","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2899633464.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W240844920","https://openalex.org/W1517248966","https://openalex.org/W1534430411","https://openalex.org/W1736530648","https://openalex.org/W1983868185","https://openalex.org/W1991579213","https://openalex.org/W2005695907","https://openalex.org/W2021317570","https://openalex.org/W2030682750","https://openalex.org/W2041707930","https://openalex.org/W2066913327","https://openalex.org/W2068923091","https://openalex.org/W2073540225","https://openalex.org/W2119455667","https://openalex.org/W2145067072","https://openalex.org/W2147741970","https://openalex.org/W2151914729","https://openalex.org/W2281705245","https://openalex.org/W2324074576","https://openalex.org/W2610279013","https://openalex.org/W2766140252","https://openalex.org/W2905134705","https://openalex.org/W2962872387","https://openalex.org/W2963093111","https://openalex.org/W3104452722","https://openalex.org/W3105696575","https://openalex.org/W3142821745","https://openalex.org/W4239270100","https://openalex.org/W4245807314","https://openalex.org/W4246149624","https://openalex.org/W4250589301","https://openalex.org/W6744818878"],"related_works":["https://openalex.org/W2361764532","https://openalex.org/W3006885461","https://openalex.org/W2186188480","https://openalex.org/W2952482574","https://openalex.org/W2079625114","https://openalex.org/W1027003078","https://openalex.org/W1983859253","https://openalex.org/W2166599460","https://openalex.org/W127996939","https://openalex.org/W2788346089","https://openalex.org/W2996880972","https://openalex.org/W2185422628","https://openalex.org/W2963300832","https://openalex.org/W3104506296","https://openalex.org/W3162162128","https://openalex.org/W2888231471","https://openalex.org/W2265203126","https://openalex.org/W1985438463","https://openalex.org/W3038302973","https://openalex.org/W2950354862"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,44],"property":[3,22],"for":[4,23],"an":[5],"input-output":[6],"system":[7],"to":[8,12,43],"map":[9],"unimodal":[10,13],"inputs":[11],"outputs.":[14],"As":[15],"a":[16],"first":[17],"step,":[18],"we":[19,36],"analyse":[20],"this":[21],"linear":[24],"time-invariant":[25],"(LTI)":[26],"systems,":[27],"static":[28],"nonlinearities,":[29],"and":[30,49],"interconnections":[31],"of":[32,46],"those.":[33],"In":[34],"particular,":[35],"show":[37],"how":[38],"unimodality":[39],"is":[40],"closely":[41],"related":[42],"concepts":[45],"positivity,":[47],"monotonicity,":[48],"total":[50],"positivity.":[51]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}