{"id":"https://openalex.org/W1569613693","doi":"https://doi.org/10.1109/cacsd.2010.5612793","title":"Nonlinear robust optimization of uncertainty affine dynamic systems under the L-infinity norm","display_name":"Nonlinear robust optimization of uncertainty affine dynamic systems under the L-infinity norm","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W1569613693","doi":"https://doi.org/10.1109/cacsd.2010.5612793","mag":"1569613693"},"language":"en","primary_location":{"id":"doi:10.1109/cacsd.2010.5612793","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","raw_type":"proceedings-article"},"type":"conference-paper","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/A5050485888","display_name":"Boris Houska","orcid":"https://orcid.org/0000-0002-6761-239X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Boris Houska","raw_affiliation_strings":["Optimization in Engineering Center OPTEC, K.U. Leuven, Leuven, Belgium","[Optimization in Engineering Center (OPTEC), K.U. Leuven, Kasteelpark Arenberg 10, B-3001 Heverlee, Belgium]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Optimization in Engineering Center OPTEC, K.U. Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"[Optimization in Engineering Center (OPTEC), K.U. Leuven, Kasteelpark Arenberg 10, B-3001 Heverlee, Belgium]","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057375078","display_name":"Moritz Diehl","orcid":"https://orcid.org/0000-0001-6556-8252"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Moritz Diehl","raw_affiliation_strings":["Optimization in Engineering Center OPTEC, K.U. Leuven, Leuven, Belgium","[Optimization in Engineering Center (OPTEC), K.U. Leuven, Kasteelpark Arenberg 10, B-3001 Heverlee, Belgium]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Optimization in Engineering Center OPTEC, K.U. Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"[Optimization in Engineering Center (OPTEC), K.U. Leuven, Kasteelpark Arenberg 10, B-3001 Heverlee, Belgium]","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":1.0127,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73576403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1091","last_page":"1096"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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":0.9959999918937683,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7121150493621826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.643906831741333},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6111979484558105},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6111129522323608},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5800440311431885},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.570667564868927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5620870590209961},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5485842227935791},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5270241498947144},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5267730951309204},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.504269003868103},{"id":"https://openalex.org/keywords/h-infinity-methods-in-control-theory","display_name":"H-infinity methods in control theory","score":0.48865750432014465},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47620853781700134},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43073466420173645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3779020309448242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29615604877471924},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23187774419784546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10961195826530457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07513922452926636}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7121150493621826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.643906831741333},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6111979484558105},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6111129522323608},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5800440311431885},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.570667564868927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5620870590209961},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5485842227935791},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5270241498947144},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5267730951309204},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.504269003868103},{"id":"https://openalex.org/C6727046","wikidata":"https://www.wikidata.org/wiki/Q1293742","display_name":"H-infinity methods in control theory","level":3,"score":0.48865750432014465},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47620853781700134},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43073466420173645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3779020309448242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29615604877471924},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23187774419784546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10961195826530457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07513922452926636},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cacsd.2010.5612793","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W120219175","https://openalex.org/W578614108","https://openalex.org/W1568307856","https://openalex.org/W1977164425","https://openalex.org/W1991334712","https://openalex.org/W2033745948","https://openalex.org/W2045611427","https://openalex.org/W2052585066","https://openalex.org/W2089105401","https://openalex.org/W2121144602"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W3081838883","https://openalex.org/W2158513532","https://openalex.org/W2116023772","https://openalex.org/W2001785873","https://openalex.org/W2373055893","https://openalex.org/W2091292236","https://openalex.org/W2039358283","https://openalex.org/W274481239"],"abstract_inverted_index":{"In":[0,59],"this":[1,60,66],"paper,":[2,61],"we":[3,62],"discuss":[4],"robust":[5,90],"optimal":[6,91],"control":[7,92],"techniques":[8],"for":[9,41,89],"dynamic":[10],"systems":[11],"which":[12],"are":[13,33],"affine":[14],"in":[15,35],"the":[16,19,42,47,95,103,113],"uncertainty.":[17],"Here,":[18],"uncertainty":[20,96],"is":[21,97],"assumed":[22],"to":[23,52,64,108],"be":[24,109],"time-dependent":[25],"but":[26],"bounded":[27],"by":[28,71],"an":[29,72],"L-infinity":[30],"norm.":[31],"We":[32],"interested":[34],"finding":[36],"a":[37,54,77],"tight":[38],"upper":[39],"bound":[40],"worst":[43],"case":[44],"excitation":[45],"of":[46,80],"inequality":[48,104],"state":[49,105],"constraints":[50,106],"requiring":[51],"solve":[53],"parameterized":[55],"lower-level":[56],"maximization":[57,69],"problem.":[58],"suggest":[63],"replace":[65],"lower":[67],"level":[68],"problem":[70,75],"equivalent":[73],"minimization":[74],"using":[76],"special":[78],"version":[79],"modified":[81],"Lyapunov":[82],"equations.":[83],"This":[84],"new":[85],"reformulation":[86],"offers":[87],"advantages":[88],"problems":[93],"where":[94],"time-dependent,":[98],"i.e.":[99],"infinite":[100],"dimensional,":[101],"while":[102],"need":[107],"robustly":[110],"regarded":[111],"on":[112],"whole":[114],"time":[115],"horizon.":[116]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
