{"id":"https://openalex.org/W2957431808","doi":"https://doi.org/10.1109/cdc.2009.5400422","title":"A Primal-Dual method for low order H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; controller synthesis","display_name":"A Primal-Dual method for low order H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; controller synthesis","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2957431808","doi":"https://doi.org/10.1109/cdc.2009.5400422","mag":"2957431808"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400422","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":"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/A5069183839","display_name":"Daniel Ankelhed","orcid":null},"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":true,"raw_author_name":"Daniel Ankelhed","raw_affiliation_strings":["Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108633916","display_name":"Anders Helmersson","orcid":null},"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":"Anders Helmersson","raw_affiliation_strings":["Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113604613","display_name":"Anders Hansson","orcid":null},"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":"Anders Hansson","raw_affiliation_strings":["Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069183839"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":1.5308,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88214391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"6674","last_page":"6679"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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/polynomial","display_name":"Polynomial","score":0.6079879999160767},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5932682752609253},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.535156786441803},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5170853137969971},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5137275457382202},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5034744143486023},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4956270456314087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4680333435535431},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45583581924438477},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45342209935188293},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.42955252528190613},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4071432650089264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3612763285636902},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33956921100616455},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13874611258506775},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08627843856811523},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06972947716712952}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6079879999160767},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5932682752609253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.535156786441803},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5170853137969971},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5137275457382202},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5034744143486023},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4956270456314087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4680333435535431},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45583581924438477},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45342209935188293},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.42955252528190613},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4071432650089264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3612763285636902},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33956921100616455},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13874611258506775},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08627843856811523},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06972947716712952},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400422","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1509690466","https://openalex.org/W1966096622","https://openalex.org/W1968315580","https://openalex.org/W1970050176","https://openalex.org/W1989395545","https://openalex.org/W1997177885","https://openalex.org/W1999913571","https://openalex.org/W2012110988","https://openalex.org/W2039867272","https://openalex.org/W2042106612","https://openalex.org/W2086867325","https://openalex.org/W2122079221","https://openalex.org/W2284696297","https://openalex.org/W2993845287","https://openalex.org/W3216747129","https://openalex.org/W4301014524","https://openalex.org/W6630834306"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W563727013","https://openalex.org/W2502468346","https://openalex.org/W2963420405","https://openalex.org/W2799377959","https://openalex.org/W2083214991","https://openalex.org/W3153752017"],"abstract_inverted_index":{"When":[0],"designing":[1],"robust":[2],"controllers,":[3],"H":[4],"<sub":[5],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[7],"synthesis":[8],"is":[9,42,45,60,77,85,113,121,131,147],"a":[10,33,99,136,151],"common":[11],"tool":[12],"to":[13,63,132],"use.":[14],"The":[15,79,144,157],"controllers":[16],"that":[17,44,108,160],"result":[18],"from":[19,154],"these":[20],"algorithms":[21],"are":[22],"typically":[23],"of":[24,39,50,74,95],"very":[25,68],"high":[26],"order,":[27],"which":[28],"complicates":[29],"implementation.":[30],"However,":[31],"if":[32],"constraint":[34,90],"on":[35,87,91,115],"the":[36,40,48,51,54,72,75,89,92,96,106,109,116,119,128,155,161],"maximum":[37,93],"order":[38,49,73,94],"controller":[41,97],"set,":[43,118],"lower":[46],"than":[47],"(augmented)":[52],"system,":[53],"problem":[55,120,126],"becomes":[56],"nonconvex":[57,129],"and":[58],"it":[59],"relatively":[61],"hard":[62],"solve.":[64],"These":[65],"problems":[66],"become":[67],"complex,":[69],"even":[70],"when":[71],"system":[76],"low.":[78],"approach":[80],"used":[81],"in":[82],"this":[83],"work":[84],"based":[86],"formulating":[88],"as":[98,123],"polynomial":[100,110],"(or":[101,111],"rational)":[102,112],"equation.":[103],"By":[104],"using":[105],"fact":[107],"non-negative":[114],"feasible":[117],"reformulated":[122],"an":[124],"optimization":[125],"where":[127],"function":[130],"be":[133],"minimized":[134],"over":[135],"convex":[137],"set":[138],"defined":[139],"by":[140],"linear":[141],"matrix":[142],"inequalities.":[143],"proposed":[145,162],"method":[146,153,163],"evaluated":[148],"together":[149],"with":[150],"wellknown":[152],"literature.":[156],"results":[158],"indicate":[159],"performs":[164],"slightly":[165],"better.":[166]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
