{"id":"https://openalex.org/W2097002404","doi":"https://doi.org/10.1109/cdc.2009.5400868","title":"Bilevel programming for analysis of low-complexity control of linear systems with constraints","display_name":"Bilevel programming for analysis of low-complexity control of linear systems with constraints","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2097002404","doi":"https://doi.org/10.1109/cdc.2009.5400868","mag":"2097002404"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400868","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400868","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/169742","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035260422","display_name":"Henrik Manum","orcid":null},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Henrik Manum","raw_affiliation_strings":["Science and Technology, Department of Chemical Engineering, Norwegian University, Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science and Technology, Department of Chemical Engineering, Norwegian University, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085117832","display_name":"Colin N. Jones","orcid":"https://orcid.org/0000-0001-7239-4799"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Colin N. Jones","raw_affiliation_strings":["Automatic Control Laboratory ETL 128, ETH Z\u00fcrich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory ETL 128, ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010140840","display_name":"Johan L\u00f6fberg","orcid":"https://orcid.org/0000-0001-6901-5938"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Johan Lofberg","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025946191","display_name":"Manfred Morari","orcid":"https://orcid.org/0000-0002-7696-5058"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Manfred Morari","raw_affiliation_strings":["Automatic Control Laboratory ETL 128, ETH Z\u00fcrich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory ETL 128, ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028148911","display_name":"Sigurd Skogestad","orcid":"https://orcid.org/0000-0001-6187-8261"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]},{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO","SE"],"is_corresponding":false,"raw_author_name":"Sigurd Skogestad","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","Science and Technology, Department of Chemical Engineering, Norwegian University, Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Science and Technology, Department of Chemical Engineering, Norwegian University, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":null,"first_page":"946","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980000257492065,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980000257492065,"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":0.9682000279426575,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.9646999835968018,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/control-theory","display_name":"Control theory (sociology)","score":0.6510485410690308},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.540695071220398},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5086110830307007},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.48921728134155273},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4727940261363983},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46665024757385254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4618242383003235},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.4503811001777649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44368305802345276},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43374887108802795},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4280737042427063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1990804374217987},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18267685174942017},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.17254579067230225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09594479203224182}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6510485410690308},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.540695071220398},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5086110830307007},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.48921728134155273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4727940261363983},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46665024757385254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4618242383003235},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.4503811001777649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44368305802345276},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43374887108802795},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4280737042427063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1990804374217987},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18267685174942017},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.17254579067230225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09594479203224182},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2009.5400868","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400868","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:169742","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169742","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:169742","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/71924","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:169742","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169742","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W124292005","https://openalex.org/W1511213320","https://openalex.org/W1603008429","https://openalex.org/W1967005434","https://openalex.org/W1975320652","https://openalex.org/W1981723834","https://openalex.org/W1993170675","https://openalex.org/W2068820478","https://openalex.org/W2113622443","https://openalex.org/W2119974577","https://openalex.org/W2127817708","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W6605132034","https://openalex.org/W6636158701"],"related_works":["https://openalex.org/W2479207418","https://openalex.org/W4237041411","https://openalex.org/W2392236356","https://openalex.org/W2015124671","https://openalex.org/W2136118765","https://openalex.org/W2061228544","https://openalex.org/W2374070196","https://openalex.org/W2371017651","https://openalex.org/W2109307142","https://openalex.org/W4391021453"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,58],"use":[4],"bilevel":[5,121],"programming":[6,122],"to":[7,89,111],"find":[8],"the":[9,23,76,94,100,105,114],"maximum":[10],"difference":[11,25,74],"between":[12,78],"a":[13,17,39,79,83],"reference":[14,52,115],"controller":[15,19,67,81,96,107],"and":[16,38,70,82,97],"low-complexity":[18,56,80,95,106],"in":[20,75],"terms":[21],"of":[22,26,93,104,113,129],"infinity-norm":[24],"their":[27],"control":[28],"laws.":[29],"A":[30,72],"nominal":[31],"MPC":[32,41,85],"for":[33,42,126],"linear":[34,43,66],"systems":[35,44],"with":[36,45,68],"constraints,":[37],"robust":[40,84],"bounded":[46],"additive":[47],"noise":[48],"are":[49],"considered":[50],"as":[51],"controllers.":[53],"For":[54],"possible":[55],"controllers":[57],"discuss":[59,119],"partial":[60],"enumeration":[61],"(PE),":[62],"Voronoi/closest":[63],"point,":[64],"triangulation,":[65],"saturation,":[69],"others.":[71],"small":[73],"norm":[77],"may":[86,123],"be":[87,109,124],"used":[88,125],"guarantee":[90],"closed-loop":[91,127],"stability":[92],"indicate":[98],"that":[99,112],"behaviour":[101],"or":[102],"performance":[103],"will":[108],"similar":[110],"one.":[116],"We":[117],"further":[118],"how":[120],"analysis":[128],"model":[130],"reduction.":[131]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
