{"id":"https://openalex.org/W2136871125","doi":"https://doi.org/10.23919/ecc.2013.6669261","title":"On multipliers for bounded and monotone nonlinearities","display_name":"On multipliers for bounded and monotone nonlinearities","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2136871125","doi":"https://doi.org/10.23919/ecc.2013.6669261","mag":"2136871125"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669261","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5024320684","display_name":"Joaqu\u00edn Carrasco","orcid":"https://orcid.org/0000-0002-7499-6408"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Joaquin Carrasco","raw_affiliation_strings":["Control Systems Centre, University of Manchester, Manchester, UK","Control Systems Centre, University of Manchester , Manchester, UK"],"affiliations":[{"raw_affiliation_string":"Control Systems Centre, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Control Systems Centre, University of Manchester , Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078717262","display_name":"William P. Heath","orcid":"https://orcid.org/0000-0003-0016-8105"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Willam P. Heath","raw_affiliation_strings":["Control Systems Centre, University of Manchester, Manchester, UK","Control Systems Centre, University of Manchester , Manchester, UK"],"affiliations":[{"raw_affiliation_string":"Control Systems Centre, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Control Systems Centre, University of Manchester , Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052838619","display_name":"Alexander Lanzon","orcid":"https://orcid.org/0000-0003-3424-8808"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alexander Lanzon","raw_affiliation_strings":["Control Systems Centre, University of Manchester, Manchester, UK","Control Systems Centre, University of Manchester , Manchester, UK"],"affiliations":[{"raw_affiliation_string":"Control Systems Centre, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Control Systems Centre, University of Manchester , Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024320684"],"corresponding_institution_ids":["https://openalex.org/I28407311"],"apc_list":null,"apc_paid":null,"fwci":0.505,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74525721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1711","last_page":"1716"},"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":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9937999844551086,"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":0.991599977016449,"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/bounded-function","display_name":"Bounded function","score":0.8342649340629578},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8000380992889404},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6073006987571716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6066402196884155},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5871303081512451},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4681921899318695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36362770199775696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23954665660858154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22309544682502747}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8342649340629578},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8000380992889404},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6073006987571716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6066402196884155},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5871303081512451},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4681921899318695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36362770199775696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23954665660858154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22309544682502747},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669261","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8160558843","display_name":null,"funder_award_id":"EP/F06022X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8680713260","display_name":null,"funder_award_id":"EP/H016600/1","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":19,"referenced_works":["https://openalex.org/W99253999","https://openalex.org/W1813780083","https://openalex.org/W1966498156","https://openalex.org/W1985255908","https://openalex.org/W1993139253","https://openalex.org/W2026769037","https://openalex.org/W2063493327","https://openalex.org/W2072907190","https://openalex.org/W2075887963","https://openalex.org/W2097944741","https://openalex.org/W2105766637","https://openalex.org/W2112446957","https://openalex.org/W2112822418","https://openalex.org/W2115715101","https://openalex.org/W2136541325","https://openalex.org/W2152421112","https://openalex.org/W2163101083","https://openalex.org/W2170167406","https://openalex.org/W2561646501"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W3048427291","https://openalex.org/W4375870324","https://openalex.org/W2152772468"],"abstract_inverted_index":{"Recent":[0],"results":[1,39],"in":[2,40,46],"equivalence":[3],"between":[4],"classes":[5,50],"of":[6,27,36,51],"multipliers":[7,14,52],"for":[8,15,53],"slope-restricted":[9],"nonlinearities":[10],"are":[11],"extended":[12],"to":[13],"bounded":[16,54],"and":[17,31,55],"monotone":[18,56],"nonlinearities.":[19,57],"This":[20],"extension":[21],"requires":[22],"a":[23,32],"slightly":[24],"modified":[25],"version":[26],"the":[28,47],"Zames-Falb":[29],"theorem":[30],"more":[33],"general":[34],"definition":[35],"phase-substitution.":[37],"The":[38],"this":[41],"paper":[42],"resolve":[43],"apparent":[44],"contradictions":[45],"literature":[48],"on":[49]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
