{"id":"https://openalex.org/W3143660995","doi":"https://doi.org/10.1109/cdc.2010.5717050","title":"Computation of Zames-Falb multipliers revisited","display_name":"Computation of Zames-Falb multipliers revisited","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W3143660995","doi":"https://doi.org/10.1109/cdc.2010.5717050","mag":"3143660995"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717050","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5038200609","display_name":"Michael W. Chang","orcid":"https://orcid.org/0009-0005-1892-7773"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Chang","raw_affiliation_strings":["Department of Electrical Engineering (Systems), University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (Systems), University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027863833","display_name":"R. Mancera","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo Mancera","raw_affiliation_strings":["Faculty of Mathematics, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009292012","display_name":"Michael G. Safonov","orcid":"https://orcid.org/0000-0002-6756-982X"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Safonov","raw_affiliation_strings":["Faculty of Electrical Engineering-(Systems), University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering-(Systems), University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038200609"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"],"apc_list":null,"apc_paid":null,"fwci":0.9829,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.78822984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2438","last_page":"2443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9915000200271606,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.74769526720047},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6229352355003357},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.576313316822052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5125898718833923},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4491698741912842},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4185253977775574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39418137073516846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.363272488117218}],"concepts":[{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.74769526720047},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6229352355003357},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.576313316822052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5125898718833923},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4491698741912842},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4185253977775574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39418137073516846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.363272488117218},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717050","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1508785476","https://openalex.org/W1997231674","https://openalex.org/W2063493327","https://openalex.org/W2125901866","https://openalex.org/W2141054151","https://openalex.org/W4254090244","https://openalex.org/W4291236916","https://openalex.org/W6628612210","https://openalex.org/W6630437559","https://openalex.org/W6750230808"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W1939318680"],"abstract_inverted_index":{"The":[0],"convex":[1],"approach":[2],"to":[3,42],"the":[4,23,44,62],"absolute":[5],"stability":[6],"problem":[7,24],"is":[8,30],"considered.":[9],"Gapski":[10],"and":[11,57],"Geromel's":[12],"algorithm":[13,34],"for":[14],"computing":[15],"Zames-Falb":[16],"multipliers,":[17],"used":[18],"in":[19,38],"determining":[20],"stability,":[21],"treats":[22],"as":[25],"an":[26,49,54],"optimization":[27],"problem.":[28],"It":[29],"found":[31],"that":[32,51,60],"their":[33],"may":[35],"terminate":[36],"prematurely":[37],"some":[39],"cases,":[40],"failing":[41],"find":[43],"optimal":[45],"multiplier.":[46],"We":[47],"propose":[48],"improvement":[50],"always":[52],"finds":[53],"ascent":[55],"direction":[56],"a":[58],"multiplier":[59],"improves":[61],"objective":[63],"function":[64],"whenever":[65],"one":[66],"exists.":[67]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
