{"id":"https://openalex.org/W2102320497","doi":"https://doi.org/10.1109/cdc.2007.4434197","title":"Optimization of stochastic uncertain systems with variational norm constraints","display_name":"Optimization of stochastic uncertain systems with variational norm constraints","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2102320497","doi":"https://doi.org/10.1109/cdc.2007.4434197","mag":"2102320497"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434197","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5101824565","display_name":"Farzad Rezaei","orcid":"https://orcid.org/0000-0001-8359-7698"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Farzad Rezaei","raw_affiliation_strings":["School of Information Technology and Engineering, University of Ottawa, Ottawa, Canada","UNIVERSITY OF OTTAWA, OTTAWA"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Engineering, University of Ottawa, Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"UNIVERSITY OF OTTAWA, OTTAWA","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035087201","display_name":"Charalambos D. Charalambous","orcid":null},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Charalambos D. Charalambous","raw_affiliation_strings":["Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064250165","display_name":"N. U. Ahmed","orcid":"https://orcid.org/0009-0002-1798-6921"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]},{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]}],"countries":["CA","CY"],"is_corresponding":false,"raw_author_name":"Nasir U. Ahmed","raw_affiliation_strings":["School of Information Technology and Engineering, University of Ottawa, Ottawa, Canada","Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Engineering, University of Ottawa, Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Department of Electrical, Engineering, University of Cyprus, Nicosia, Cyprus","institution_ids":["https://openalex.org/I34771391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101824565"],"corresponding_institution_ids":["https://openalex.org/I153718931"],"apc_list":null,"apc_paid":null,"fwci":3.4837,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.93007793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2159","last_page":"2163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9955999851226807,"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/T11236","display_name":"Control Systems and Identification","score":0.9955999851226807,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9901999831199646,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9836000204086304,"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/entropy-maximization","display_name":"Entropy maximization","score":0.6246428489685059},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6156975030899048},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5632421374320984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.552942156791687},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5278817415237427},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.5248377919197083},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5242065191268921},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4722953140735626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4666920304298401},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41037294268608093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3169754147529602},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26862090826034546},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.23330965638160706},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.09253808856010437}],"concepts":[{"id":"https://openalex.org/C127233936","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Entropy maximization","level":3,"score":0.6246428489685059},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6156975030899048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5632421374320984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.552942156791687},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5278817415237427},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.5248377919197083},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5242065191268921},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4722953140735626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4666920304298401},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41037294268608093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3169754147529602},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26862090826034546},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.23330965638160706},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.09253808856010437},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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:10.1109/cdc.2007.4434197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434197","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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":13,"referenced_works":["https://openalex.org/W1986478300","https://openalex.org/W1999918998","https://openalex.org/W2004220372","https://openalex.org/W2004276046","https://openalex.org/W2006578230","https://openalex.org/W2091891040","https://openalex.org/W2113151258","https://openalex.org/W2147970398","https://openalex.org/W2149987058","https://openalex.org/W2169249327","https://openalex.org/W2178973532","https://openalex.org/W2797937785","https://openalex.org/W3038830718"],"related_works":["https://openalex.org/W3102188974","https://openalex.org/W3004810941","https://openalex.org/W4287870705","https://openalex.org/W3199097846","https://openalex.org/W624081655","https://openalex.org/W2576492542","https://openalex.org/W1952656308","https://openalex.org/W2267645079","https://openalex.org/W2137556923","https://openalex.org/W2144260821"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"optimization":[3],"of":[4,15,33,45,61,95,138],"stochastic":[5,99,140],"uncertain":[6,35,96],"systems":[7],"on":[8],"general":[9,151],"abstract":[10,85],"spaces,":[11],"when":[12],"the":[13,16,34,39,42,46,50,73,104,113,120,139,144],"uncertainty":[14,128,154],"system":[17],"is":[18,27,53,76,148],"described":[19,156],"by":[20,157],"a":[21,30,58,79,92,109],"variational":[22,121,126],"norm":[23,122,127],"constraint.":[24],"The":[25,84,125],"pay-off":[26],"defined":[28],"as":[29],"linear":[31,47,110],"functional":[32,48,111],"measure.":[36,83],"By":[37],"invoking":[38],"Hanh-Banach":[40],"theorem,":[41],"maximization":[43],"problem":[44],"over":[49,119],"constraint":[51,123],"set":[52],"shown":[54],"to":[55,57,90,107,116],"correspond":[56],"convex":[59],"combination":[60],"L":[62,67],"<sub":[63,68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64,69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[65],"and":[66,135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">infin</sub>":[70],"norms.":[71],"Further,":[72],"maximizing":[74],"measure":[75,114],"constructed":[77],"using":[78],"tilted":[80],"exponential":[81],"probability":[82],"results":[86],"are":[87],"subsequently":[88],"employed":[89],"formulate":[91],"new":[93],"class":[94],"continuous-time":[97],"nonlinear":[98],"controlled":[100],"systems,":[101],"in":[102,132],"which":[103],"control":[105],"seeks":[106,115],"minimize":[108],"while":[112],"maximize":[117],"it":[118,147],"set.":[124],"model":[129],"admits":[130],"uncertainties":[131],"both":[133],"drift":[134],"diffusion":[136],"coefficients":[137],"differential":[141],"equation":[142],"describing":[143],"system.":[145],"Hence":[146],"much":[149],"more":[150],"than":[152],"existing":[153],"models":[155],"relative":[158],"entropy":[159],"constraints.":[160]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
