{"id":"https://openalex.org/W4413393752","doi":"https://doi.org/10.23919/acc63710.2025.11107794","title":"Ca\u03a3oS: A nonlinear sum-of-squares optimization suite<sup>\u22c6</sup>","display_name":"Ca\u03a3oS: A nonlinear sum-of-squares optimization suite<sup>\u22c6</sup>","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413393752","doi":"https://doi.org/10.23919/acc63710.2025.11107794"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107794","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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/A5019806124","display_name":"Torbj\u00f8rn Cunis","orcid":"https://orcid.org/0000-0003-1672-4321"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Torbj\u00f8rn Cunis","raw_affiliation_strings":["University of Stuttgart,Institute of Flight Mechanics and Controls,Stuttgart,Germany,70569"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart,Institute of Flight Mechanics and Controls,Stuttgart,Germany,70569","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055706497","display_name":"Jan Olucak","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Olucak","raw_affiliation_strings":["University of Stuttgart,Institute of Flight Mechanics and Controls,Stuttgart,Germany,70569"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart,Institute of Flight Mechanics and Controls,Stuttgart,Germany,70569","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019806124"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25227122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1659","last_page":"1666"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5097000002861023,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5097000002861023,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5533249974250793},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.5316038131713867},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.4903590679168701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41259095072746277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3008795976638794},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26969078183174133},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.1808326542377472}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5533249974250793},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.5316038131713867},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.4903590679168701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41259095072746277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3008795976638794},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26969078183174133},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.1808326542377472},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107794","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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":27,"referenced_works":["https://openalex.org/W290360019","https://openalex.org/W388179047","https://openalex.org/W1530960252","https://openalex.org/W1564078679","https://openalex.org/W1596877211","https://openalex.org/W1607353007","https://openalex.org/W1925159340","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1992008263","https://openalex.org/W2024068876","https://openalex.org/W2096156227","https://openalex.org/W2120865142","https://openalex.org/W2145139206","https://openalex.org/W2146586176","https://openalex.org/W2288174618","https://openalex.org/W2842089854","https://openalex.org/W2962725330","https://openalex.org/W2964239200","https://openalex.org/W2968945909","https://openalex.org/W3010055072","https://openalex.org/W3045744114","https://openalex.org/W3174778505","https://openalex.org/W4221147102","https://openalex.org/W4379162539","https://openalex.org/W4382936280"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4231704780","https://openalex.org/W2083794993","https://openalex.org/W352609212","https://openalex.org/W4404692318","https://openalex.org/W4200340037","https://openalex.org/W2381388166","https://openalex.org/W2360154135"],"abstract_inverted_index":{"We":[0],"present":[1],"Ca\u03a3oS,":[2],"the":[3,20,58],"first":[4],"MATLAB":[5],"software":[6],"specifically":[7],"designed":[8],"for":[9,19,85,95],"nonlinear":[10,24,96],"sum-of-squares":[11,25],"optimization.":[12],"Ca\u03a3oS\u2019s":[13],"symbolic":[14,40],"polynomial":[15],"algebra":[16],"system":[17],"allows":[18],"formulation":[21],"of":[22,45],"parametrized":[23],"optimization":[26,72,78],"problems":[27,73,79],"and":[28,42,52,64,66,76,91],"facilitates":[29],"their":[30],"fast,":[31],"repeated":[32],"evaluations.":[33],"To":[34],"that":[35],"extent,":[36],"we":[37],"utilize":[38],"CasADi\u2019s":[39],"framework":[41],"realize":[43],"concepts":[44],"monomial":[46],"sparsity,":[47],"linear":[48],"operators":[49],"(including":[50],"duals),":[51],"functions":[53],"between":[54],"polynomials.":[55],"Ca\u03a3oS":[56,109],"interfaces":[57],"conic":[59],"solvers":[60],"SeDuMi,":[61],"Mosek,":[62],"Clarabel,":[63],"SCS":[65],"provides":[67],"methods":[68],"to":[69,106],"solve":[70],"quasiconvex":[71],"(via":[74,80],"bisection)":[75],"nonconvex":[77,87],"sequential":[81],"convexification).":[82],"Numerical":[83],"examples":[84],"benchmark":[86],"problems,":[88],"including":[89],"region-of-attraction":[90],"reachable":[92],"set":[93],"estimation":[94],"dynamic":[97],"systems,":[98],"demonstrate":[99],"significant":[100],"improvements":[101],"in":[102],"computation":[103],"time":[104],"compared":[105],"existing":[107],"toolboxes.":[108],"is":[110],"available":[111],"open-source":[112],"at":[113],"https://github.com/ifr-acso/casos.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-08-22T00:00:00"}