{"id":"https://openalex.org/W4250650726","doi":"https://doi.org/10.1109/acc.2013.6580879","title":"Root locus for a controller class that yields quadratic gain parameterization","display_name":"Root locus for a controller class that yields quadratic gain parameterization","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W4250650726","doi":"https://doi.org/10.1109/acc.2013.6580879"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580879","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American 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/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":false,"raw_author_name":"Brandon J. Wellman","raw_affiliation_strings":["Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA"],"raw_orcid":null,"affiliations":[{"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"],"raw_orcid":null,"affiliations":[{"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":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3499,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88891125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":null,"first_page":"6625","last_page":"6630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9976000189781189,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9969000220298767,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9896000027656555,"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":0.9017547369003296},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.760330855846405},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6472490429878235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5622259974479675},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5584121346473694},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.4115203022956848},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3230227828025818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2496730089187622},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.19339284300804138},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12350553274154663},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08080574870109558},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0706375241279602},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06455272436141968},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.05989596247673035},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.057582855224609375}],"concepts":[{"id":"https://openalex.org/C27162326","wikidata":"https://www.wikidata.org/wiki/Q957693","display_name":"Root locus","level":3,"score":0.9017547369003296},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.760330855846405},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6472490429878235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5622259974479675},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5584121346473694},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.4115203022956848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3230227828025818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2496730089187622},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.19339284300804138},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12350553274154663},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08080574870109558},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0706375241279602},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06455272436141968},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.05989596247673035},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.057582855224609375},{"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},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580879","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580879","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1983038000","https://openalex.org/W1988076923","https://openalex.org/W1991501036","https://openalex.org/W2005262692","https://openalex.org/W2031693256","https://openalex.org/W2090664771","https://openalex.org/W2098786861","https://openalex.org/W2103865858","https://openalex.org/W2106012685","https://openalex.org/W2151048063","https://openalex.org/W2318185479","https://openalex.org/W3147213969"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2380425739","https://openalex.org/W2081322886","https://openalex.org/W2349324463","https://openalex.org/W2330262400","https://openalex.org/W2351677728","https://openalex.org/W2155658788","https://openalex.org/W2120481208","https://openalex.org/W2785906022"],"abstract_inverted_index":{"We":[0,41],"present":[1],"rules":[2,28],"for":[3,8],"constructing":[4],"the":[5,14,21,48,62],"root":[6,50,57,71],"locus":[7,58],"a":[9,31],"linear":[10],"feedback":[11],"system,":[12],"where":[13],"closed-loop":[15],"denominator":[16],"polynomial":[17],"is":[18,66],"quadratic":[19,26,49,56],"in":[20],"root-locus":[22,27],"parameter":[23],"k.":[24,40],"These":[25],"apply":[29],"to":[30,46,59],"class":[32],"of":[33,39],"controllers":[34],"that":[35],"are":[36],"rational":[37],"functions":[38],"provide":[42],"controller":[43],"design":[44],"examples":[45],"demonstrate":[47],"locus.":[51,72],"For":[52],"example,":[53],"we":[54],"use":[55],"high-gain":[60],"stabilize":[61],"triple":[63],"integrator;":[64],"this":[65],"not":[67],"possible":[68],"with":[69],"classical":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}