{"id":"https://openalex.org/W2012003118","doi":"https://doi.org/10.1137/s0363012901398174","title":"Robust Dissipativity of Interval Uncertain Linear Systems","display_name":"Robust Dissipativity of Interval Uncertain Linear Systems","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2012003118","doi":"https://doi.org/10.1137/s0363012901398174","mag":"2012003118"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012901398174","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901398174","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Journal on Control and Optimization","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/A5018936806","display_name":"F.D. Barb","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Florin Dan Barb","raw_affiliation_strings":["Delft University of Technology,,,,,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft University of Technology,,,,,","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045105549","display_name":"Aharon Ben\u2010Tal","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Aharon Ben-Tal","raw_affiliation_strings":["TECHNION-Israel Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TECHNION-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018700487","display_name":"Arkadi Nemirovski","orcid":"https://orcid.org/0000-0002-5001-7420"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Arkadi Nemirovski","raw_affiliation_strings":["TECHNION-Israel Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TECHNION-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0926,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.94147372,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"41","issue":"6","first_page":"1661","last_page":"1695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9988999962806702,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9988999962806702,"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":0.9984999895095825,"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/T10142","display_name":"Formal Methods in Verification","score":0.9962999820709229,"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/mathematics","display_name":"Mathematics","score":0.8267466425895691},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5981471538543701},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5932623147964478},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5481671094894409},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5305896997451782},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5080215930938721},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49404361844062805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4623165726661682},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43829208612442017},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.43629199266433716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33906853199005127},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.220786452293396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1295730173587799},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12911471724510193},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08830881118774414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06013926863670349}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8267466425895691},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5981471538543701},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5932623147964478},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5481671094894409},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5305896997451782},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5080215930938721},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49404361844062805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4623165726661682},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43829208612442017},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.43629199266433716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33906853199005127},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.220786452293396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1295730173587799},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12911471724510193},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08830881118774414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06013926863670349},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/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},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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":3,"locations":[{"id":"doi:10.1137/s0363012901398174","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901398174","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:pure.eur.nl:openaire_cris_publications/7ed3cc85-6f95-4d13-8922-56e632b9ae80","is_oa":false,"landing_page_url":"https://pure.eur.nl/en/publications/7ed3cc85-6f95-4d13-8922-56e632b9ae80","pdf_url":null,"source":{"id":"https://openalex.org/S4306401266","display_name":"EUR Research Repository (Erasmus University Rotterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I913958620","host_organization_name":"Erasmus University Rotterdam","host_organization_lineage":["https://openalex.org/I913958620"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Barb, FD, Ben-Tal, A & Nemirovski, A 2003, 'Robust dissipativity of interval uncertain linear systems', SIAM Journal on Control and Optimization, vol. 41, no. 6, pp. 1661-1695.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.8189","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.8189","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.isye.gatech.edu/~nemirovs/SICO_RobDiss_2003.pdf","raw_type":"text"}],"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/W1568307856","https://openalex.org/W1965623622","https://openalex.org/W1973533265","https://openalex.org/W2048679451","https://openalex.org/W2076467525","https://openalex.org/W2084575717","https://openalex.org/W2095477585","https://openalex.org/W2107543637","https://openalex.org/W2174883827","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W1983756092","https://openalex.org/W2381295697","https://openalex.org/W2385886188","https://openalex.org/W579949368","https://openalex.org/W2092089517","https://openalex.org/W2378309693","https://openalex.org/W2054171707","https://openalex.org/W1716629940","https://openalex.org/W2161468807","https://openalex.org/W2155614410"],"abstract_inverted_index":{"In":[0],"this":[1,47,64],"paper":[2],"we":[3,50],"are":[4],"concerned":[5],"with":[6,15],"the":[7,27,74,78,81,90,94],"problem":[8],"of":[9,12,63,73,80,87,93,96],"robust":[10,91],"dissipativity":[11,39],"linear":[13],"systems":[14],"parameters":[16],"affected":[17],"by":[18,67],"box":[19],"uncertainty;":[20],"our":[21],"major":[22],"goal":[23],"is":[24,43],"to":[25,45],"evaluate":[26],"largest":[28],"uncertainty":[29],"level":[30],"for":[31],"which":[32],"all":[33],"perturbed":[34],"instances":[35],"share":[36],"a":[37,85],"common":[38],"certificate.":[40],"While":[41],"it":[42],"NP-hard":[44],"compute":[46],"quantity":[48,66],"exactly,":[49],"demonstrate":[51],"that":[52],"under":[53],"favorable":[54],"circumstances":[55],"one":[56],"can":[57],"build":[58],"an":[59,69],"O(1)-tight":[60],"lower":[61],"bound":[62],"\"intractable\"":[65],"solving":[68],"explicit":[70],"semidefinite":[71],"program":[72],"size":[75,79],"polynomial":[76],"in":[77],"system.":[82],"We":[83],"consider":[84],"number":[86],"applications,":[88],"including":[89],"versions":[92],"problems":[95],"extracting":[97],"nearly":[98,103],"optimal":[99,104],"available":[100],"storage,":[101],"providing":[102],"required":[105],"supply,":[106],"Lyapunov":[107],"stability":[108],"analysis,":[109],"and":[110],"linear-quadratic":[111],"control.":[112]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}