{"id":"https://openalex.org/W2169109325","doi":"https://doi.org/10.1109/tac.2009.2036295","title":"Pole Assignment With Improved Control Performance by Means of Periodic Feedback","display_name":"Pole Assignment With Improved Control Performance by Means of Periodic Feedback","publication_year":2009,"publication_date":"2009-12-16","ids":{"openalex":"https://openalex.org/W2169109325","doi":"https://doi.org/10.1109/tac.2009.2036295","mag":"2169109325"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2036295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2036295","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5042580848","display_name":"Javad Lavaei","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Lavaei","raw_affiliation_strings":["Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072786751","display_name":"Somayeh Sojoudi","orcid":"https://orcid.org/0000-0001-7177-7712"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Sojoudi","raw_affiliation_strings":["Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023864111","display_name":"Amir G. Aghdam","orcid":"https://orcid.org/0000-0001-5180-0508"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A.G. Aghdam","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.819,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.9379246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"1","first_page":"248","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9983999729156494,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9976000189781189,"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":0.7239632606506348},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6223669648170471},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5973573923110962},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5752865076065063},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5499146580696106},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.5077558755874634},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.43768924474716187},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.42464056611061096},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41397935152053833},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37321770191192627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2918122708797455},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.26290595531463623},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25126928091049194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19527438282966614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17959266901016235},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09611716866493225}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7239632606506348},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6223669648170471},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5973573923110962},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5752865076065063},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5499146580696106},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.5077558755874634},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.43768924474716187},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.42464056611061096},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41397935152053833},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37321770191192627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2918122708797455},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.26290595531463623},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25126928091049194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19527438282966614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17959266901016235},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09611716866493225},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2009.2036295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2036295","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:17412","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/17412/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1511275238","https://openalex.org/W1970964749","https://openalex.org/W1989591298","https://openalex.org/W1992199776","https://openalex.org/W2021502814","https://openalex.org/W2039198662","https://openalex.org/W2054858038","https://openalex.org/W2091476836","https://openalex.org/W2092232328","https://openalex.org/W2101222054","https://openalex.org/W2102686956","https://openalex.org/W2127102571","https://openalex.org/W2127520509","https://openalex.org/W2135866501","https://openalex.org/W2140161633","https://openalex.org/W2154673505","https://openalex.org/W2157576608","https://openalex.org/W2174070521","https://openalex.org/W2430083162","https://openalex.org/W3022427564"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2102092709","https://openalex.org/W2143900412","https://openalex.org/W2096518099","https://openalex.org/W1525431020","https://openalex.org/W2898817073","https://openalex.org/W2977551389","https://openalex.org/W2122521437","https://openalex.org/W4389230512"],"abstract_inverted_index":{"This":[0],"technical":[1,57],"note":[2,58],"is":[3,23,79,111,139,151],"concerned":[4],"with":[5],"the":[6,42,62,75,82,100,108,132],"pole":[7],"placement":[8],"of":[9,17,44,84,117,121,130,135],"continuous-time":[10],"linear":[11,115,137,144],"time-invariant":[12],"(LTI)":[13],"systems":[14],"by":[15,153],"means":[16],"LQ":[18,69],"suboptimal":[19],"periodic":[20],"feedback.":[21],"It":[22],"well-known":[24],"that":[25],"there":[26],"exist":[27],"infinitely":[28],"many":[29],"generalized":[30],"sampled-data":[31],"hold":[32],"functions":[33,122],"(GSHF)":[34],"for":[35],"any":[36],"controllable":[37],"LTI":[38],"system":[39],"to":[40,60],"place":[41],"modes":[43],"its":[45],"discrete-time":[46],"equivalent":[47],"model":[48],"at":[49],"prescribed":[50],"locations.":[51],"Among":[52],"all":[53],"such":[54,123],"GSHFs,":[55],"this":[56,73,136],"aims":[59],"find":[61],"one":[63],"which":[64],"also":[65],"minimizes":[66],"a":[67,85,89,114,118,143,154],"given":[68],"performance":[70],"index.":[71],"To":[72],"end,":[74],"GSHF":[76,87,94],"being":[77],"sought":[78],"written":[80],"as":[81,113,124,142],"sum":[83],"particular":[86,93],"and":[88],"homogeneous":[90,105],"one.":[91],"The":[92,104,128,149],"can":[95],"be":[96],"readily":[97],"obtained":[98],"using":[99],"conventional":[101],"pole-placement":[102],"techniques.":[103],"GSHF,":[106],"on":[107],"other":[109],"hand,":[110],"expressed":[112],"combination":[116,138],"finite":[119],"number":[120],"polynomials,":[125],"sinusoidals,":[126],"etc.":[127],"problem":[129],"finding":[131],"optimal":[133],"coefficients":[134],"then":[140],"formulated":[141],"matrix":[145],"inequality":[146],"(LMI)":[147],"optimization.":[148],"procedure":[150],"illustrated":[152],"numerical":[155],"example.":[156]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
