{"id":"https://openalex.org/W1966920671","doi":"https://doi.org/10.1109/tac.2014.2314519","title":"Quadratically Parameterized Root Locus Analysis","display_name":"Quadratically Parameterized Root Locus Analysis","publication_year":2014,"publication_date":"2014-04-01","ids":{"openalex":"https://openalex.org/W1966920671","doi":"https://doi.org/10.1109/tac.2014.2314519","mag":"1966920671"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2314519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2314519","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/A5088588314","display_name":"Brandon J. Wellman","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brandon J. Wellman","raw_affiliation_strings":["Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA","Department of Mechanical Engineering , University of Kentucky , Lexington, KY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"Department of Mechanical Engineering , University of Kentucky , Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064538163","display_name":"Jesse B. Hoagg","orcid":"https://orcid.org/0000-0002-2302-2152"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jesse B. Hoagg","raw_affiliation_strings":["Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA","Department of Mechanical Engineering , University of Kentucky , Lexington, KY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"Department of Mechanical Engineering , University of Kentucky , Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088588314"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":null,"apc_paid":null,"fwci":1.641,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84951812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"7","first_page":"1803","last_page":"1817"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","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"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.998199999332428,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9977999925613403,"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/root-locus","display_name":"Root locus","score":0.9277389645576477},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.827873706817627},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.7014672756195068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6923320889472961},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.5711444020271301},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5059453845024109},{"id":"https://openalex.org/keywords/asymptote","display_name":"Asymptote","score":0.49595531821250916},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.46831995248794556},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42232152819633484},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.4211823344230652},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37162846326828003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3597271740436554},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2641642689704895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24849343299865723},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.19980156421661377},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17456576228141785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1174081563949585},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07521423697471619}],"concepts":[{"id":"https://openalex.org/C27162326","wikidata":"https://www.wikidata.org/wiki/Q957693","display_name":"Root locus","level":3,"score":0.9277389645576477},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.827873706817627},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.7014672756195068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6923320889472961},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.5711444020271301},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5059453845024109},{"id":"https://openalex.org/C58315980","wikidata":"https://www.wikidata.org/wiki/Q179436","display_name":"Asymptote","level":2,"score":0.49595531821250916},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.46831995248794556},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42232152819633484},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.4211823344230652},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37162846326828003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3597271740436554},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2641642689704895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24849343299865723},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.19980156421661377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17456576228141785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1174081563949585},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07521423697471619},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2314519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2314519","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1534096605","https://openalex.org/W1551001152","https://openalex.org/W1969062549","https://openalex.org/W1983038000","https://openalex.org/W1988076923","https://openalex.org/W1991501036","https://openalex.org/W2005262692","https://openalex.org/W2031693256","https://openalex.org/W2032241866","https://openalex.org/W2042738128","https://openalex.org/W2072626106","https://openalex.org/W2086481191","https://openalex.org/W2090664771","https://openalex.org/W2098049551","https://openalex.org/W2098786861","https://openalex.org/W2103865858","https://openalex.org/W2106012685","https://openalex.org/W2136431953","https://openalex.org/W2151048063","https://openalex.org/W2166641714","https://openalex.org/W2318185479","https://openalex.org/W3147213969","https://openalex.org/W4250650726"],"related_works":["https://openalex.org/W2352240723","https://openalex.org/W2052734696","https://openalex.org/W4230779047","https://openalex.org/W2051058708","https://openalex.org/W3110746766","https://openalex.org/W2151048063","https://openalex.org/W2065498633","https://openalex.org/W1842570543","https://openalex.org/W2577769427","https://openalex.org/W2984742468"],"abstract_inverted_index":{"Classical":[0],"affine":[1,54,109],"root":[2,24,45,55,60,79,96,110],"locus":[3,25,46,61,80,97],"applies":[4],"to":[5,51,106],"controllers":[6,28],"that":[7,29,42,68,103],"are":[8,30,69,104],"linear":[9],"in":[10],"a":[11,82],"parameter":[12],"k":[13],"and":[14,33],"yield":[15,34],"affinely":[16],"parameterized":[17,36],"closed-loop":[18,37],"denominator":[19,38],"polynomials.":[20,39],"This":[21],"paper":[22],"presents":[23],"rules":[26],"for":[27,65],"rational":[31],"ink":[32],"quadratically":[35],"We":[40],"show":[41],"the":[43,52,58,77,117],"quadratic":[44,59,78,95],"has":[47],"several":[48,101],"advantages":[49],"relative":[50,70],"classical":[53],"locus.":[56],"Specifically,":[57],"is":[62,98],"high-parameter":[63,114],"stabilizing":[64],"minimum-phase":[66],"systems":[67],"degree":[71],"1,":[72],"2,":[73],"or":[74],"3.":[75],"Moreover,":[76],"admits":[81],"wider":[83],"variety":[84],"of":[85,116],"asymptote":[86],"angles,":[87],"which":[88],"provides":[89],"more":[90],"controller":[91],"design":[92],"flexibility.":[93],"The":[94],"illustrated":[99],"on":[100],"examples":[102],"difficult":[105],"handle":[107],"using":[108],"locus,":[111],"such":[112],"as":[113],"stabilization":[115],"triple":[118],"integrator.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
