{"id":"https://openalex.org/W2093575472","doi":"https://doi.org/10.1137/s003614450444662x","title":"A Hybrid Approach for Efficient Robust Design of Dynamic Systems","display_name":"A Hybrid Approach for Efficient Robust Design of Dynamic Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2093575472","doi":"https://doi.org/10.1137/s003614450444662x","mag":"2093575472"},"language":"en","primary_location":{"id":"doi:10.1137/s003614450444662x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614450444662x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-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/A5058837549","display_name":"Martin M\u00f6nnigmann","orcid":"https://orcid.org/0000-0002-9277-2061"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin M\u00f6nnigmann","raw_affiliation_strings":["[Rwth Aachen University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Rwth Aachen University]","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039101359","display_name":"Wolfgang Marquardt","orcid":"https://orcid.org/0000-0002-4455-8378"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Marquardt","raw_affiliation_strings":["[Rwth Aachen University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Rwth Aachen University]","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020597086","display_name":"Christian Bischof","orcid":"https://orcid.org/0000-0003-2711-3032"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian H. Bischof","raw_affiliation_strings":["[Rwth Aachen University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Rwth Aachen University]","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085931026","display_name":"Thomas Beelitz","orcid":null},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Beelitz","raw_affiliation_strings":["University of Wuppertal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wuppertal","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070913387","display_name":"Bruno Lang","orcid":"https://orcid.org/0000-0001-9197-4836"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bruno Lang","raw_affiliation_strings":["University of Wuppertal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wuppertal","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074278382","display_name":"Paul R. Willems","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul Willems","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8145,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.91952815,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"2","first_page":"236","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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/solver","display_name":"Solver","score":0.8306597471237183},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6600645780563354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.612675666809082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5343762040138245},{"id":"https://openalex.org/keywords/engineering-design-process","display_name":"Engineering design process","score":0.5038968920707703},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4758553206920624},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4752483367919922},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46859994530677795},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4525567293167114},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4443354308605194},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42497286200523376},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3354775905609131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33046045899391174},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09453505277633667}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8306597471237183},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6600645780563354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.612675666809082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5343762040138245},{"id":"https://openalex.org/C34972735","wikidata":"https://www.wikidata.org/wiki/Q2920267","display_name":"Engineering design process","level":2,"score":0.5038968920707703},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4758553206920624},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4752483367919922},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46859994530677795},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4525567293167114},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4443354308605194},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42497286200523376},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3354775905609131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33046045899391174},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09453505277633667},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s003614450444662x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614450444662x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:publications.rwth-aachen.de:155576","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/155576","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM review 49(2), 236-254 (2007). doi:10.1137/S003614450444662X","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:58859","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/58859/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W97874391","https://openalex.org/W111814201","https://openalex.org/W160832363","https://openalex.org/W937159012","https://openalex.org/W1483874187","https://openalex.org/W1532036648","https://openalex.org/W1561445488","https://openalex.org/W1596321532","https://openalex.org/W1987811288","https://openalex.org/W2000206944","https://openalex.org/W2019260737","https://openalex.org/W2020554592","https://openalex.org/W2023285936","https://openalex.org/W2041977310","https://openalex.org/W2043645173","https://openalex.org/W2052675170","https://openalex.org/W2060924166","https://openalex.org/W2067648572","https://openalex.org/W2098744451","https://openalex.org/W2109717524","https://openalex.org/W2129480103","https://openalex.org/W2132233302","https://openalex.org/W2483775066","https://openalex.org/W2905382927","https://openalex.org/W3106534923","https://openalex.org/W3146520007"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255837520","https://openalex.org/W4255427455","https://openalex.org/W1966025497","https://openalex.org/W2387011115","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W1553604823","https://openalex.org/W8322802","https://openalex.org/W314331466"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,70,105,115,142,232,247],"novel":[3,44],"approach":[4,14,45,65,213],"for":[5,31,57,73,86],"the":[6,27,67,78,87,93,102,109,133,135,150,153,161,164,169,182,189,192,201,222,225,238,241],"parametrically":[7,204],"robust":[8],"design":[9,210,249],"of":[10,69,81,95,104,152,191,224,231,243],"dynamic":[11],"systems.":[12,83],"The":[13,43,84],"can":[15,186,214],"be":[16,120,215],"applied":[17],"to":[18,48,108,140,156,208,236],"system":[19],"models":[20],"with":[21,77],"parameters":[22,33],"that":[23,29,54,100,144,188],"are":[24,34,90,125],"uncertain":[25],"in":[26,149,246],"sense":[28],"values":[30],"these":[32,62],"not":[35,219],"known":[36,111],"precisely,":[37],"but":[38],"only":[39],"within":[40,61],"certain":[41],"bounds.":[42,63],"is":[46,55,138,166,179,194,203,234],"guaranteed":[47],"find":[49],"an":[50],"optimal":[51],"steady":[52],"state":[53],"stable":[56],"each":[58],"parameter":[59,96],"combination":[60],"Our":[64],"combines":[66],"use":[68],"standard":[71],"solver":[72,137,185],"constrained":[74],"optimization":[75,88,165],"problems":[76,89],"rigorous":[79,136,183],"solution":[80],"nonlinear":[82,130,184],"constraints":[85],"based":[91],"on":[92,221],"concept":[94],"space":[97],"normal":[98,123],"vectors":[99,124],"measure":[101],"distance":[103],"tentative":[106],"optimum":[107,193,202],"nearest":[110],"critical":[112,146,172,197],"point,":[113],"i.e.,":[114],"point":[116],"where":[117],"stability":[118],"may":[119],"lost.":[121],"Such":[122],"derived":[126],"using":[127],"methods":[128],"from":[129,196],"dynamics.":[131],"After":[132],"optimization,":[134],"used":[139,235],"provide":[141],"guarantee":[143,187],"no":[145],"points":[147,173,198],"exist":[148],"vicinity":[151,190],"optimum,":[154],"or":[155],"detect":[157],"such":[158],"points.":[159],"In":[160,206],"latter":[162],"case,":[163],"resumed,":[167],"taking":[168],"newly":[170],"found":[171],"into":[174],"account.":[175],"This":[176],"optimize\u2010and\u2010verify":[177],"procedure":[178],"repeated":[180],"until":[181],"free":[195],"and":[199,217,240],"therefore":[200],"robust.":[205],"contrast":[207],"existing":[209],"methodologies,":[211],"our":[212],"automated":[216],"does":[218],"rely":[220],"experience":[223],"designing":[226],"engineer.":[227],"A":[228],"simple":[229],"model":[230],"fermenter":[233],"illustrate":[237],"concepts":[239],"order":[242],"activities":[244],"arising":[245],"typical":[248],"process.":[250]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
