{"id":"https://openalex.org/W3212608136","doi":"https://doi.org/10.1109/iecon48115.2021.9589457","title":"New Conditions for the Stability and Instability of Feedback Systems","display_name":"New Conditions for the Stability and Instability of Feedback Systems","publication_year":2021,"publication_date":"2021-10-13","ids":{"openalex":"https://openalex.org/W3212608136","doi":"https://doi.org/10.1109/iecon48115.2021.9589457","mag":"3212608136"},"language":"en","primary_location":{"id":"doi:10.1109/iecon48115.2021.9589457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon48115.2021.9589457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2021 \u2013 47th Annual Conference of the IEEE Industrial Electronics Society","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/A5032201822","display_name":"L.H. Keel","orcid":null},"institutions":[{"id":"https://openalex.org/I75256744","display_name":"Tennessee State University","ror":"https://ror.org/01fpczx89","country_code":"US","type":"education","lineage":["https://openalex.org/I75256744"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. H. Keel","raw_affiliation_strings":["Tennessee State University, Nashville, Tennessee, USA"],"affiliations":[{"raw_affiliation_string":"Tennessee State University, Nashville, Tennessee, USA","institution_ids":["https://openalex.org/I75256744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041121124","display_name":"S.P. Bhattacharyya","orcid":"https://orcid.org/0000-0001-9207-3298"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. P. Bhattacharyya","raw_affiliation_strings":["Texas A&M University, College Station, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, College Station, Texas, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032201822"],"corresponding_institution_ids":["https://openalex.org/I75256744"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16588123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9976999759674072,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9976999759674072,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9950000047683716,"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":0.9937999844551086,"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/control-theory","display_name":"Control theory (sociology)","score":0.8324538469314575},{"id":"https://openalex.org/keywords/closed-loop-pole","display_name":"Closed-loop pole","score":0.7980115413665771},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.7845751047134399},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.7277126908302307},{"id":"https://openalex.org/keywords/closed-loop-transfer-function","display_name":"Closed-loop transfer function","score":0.6673320531845093},{"id":"https://openalex.org/keywords/open-loop-controller","display_name":"Open-loop controller","score":0.5926076769828796},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.5684230327606201},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5635651350021362},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.559180736541748},{"id":"https://openalex.org/keywords/loop-gain","display_name":"Loop gain","score":0.5223922729492188},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.5130020976066589},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.4981226921081543},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.48520711064338684},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4820155203342438},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.47737595438957214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45864230394363403},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4523896872997284},{"id":"https://openalex.org/keywords/feedback-loop","display_name":"Feedback loop","score":0.41156741976737976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314960300922394},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.2971314787864685},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1686573624610901},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15698522329330444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13896870613098145},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13869348168373108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10946446657180786}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8324538469314575},{"id":"https://openalex.org/C118807382","wikidata":"https://www.wikidata.org/wiki/Q5135313","display_name":"Closed-loop pole","level":4,"score":0.7980115413665771},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.7845751047134399},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.7277126908302307},{"id":"https://openalex.org/C158664035","wikidata":"https://www.wikidata.org/wiki/Q1477205","display_name":"Closed-loop transfer function","level":3,"score":0.6673320531845093},{"id":"https://openalex.org/C161362739","wikidata":"https://www.wikidata.org/wiki/Q2301555","display_name":"Open-loop controller","level":3,"score":0.5926076769828796},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.5684230327606201},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5635651350021362},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.559180736541748},{"id":"https://openalex.org/C199943209","wikidata":"https://www.wikidata.org/wiki/Q1271153","display_name":"Loop gain","level":3,"score":0.5223922729492188},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.5130020976066589},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.4981226921081543},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.48520711064338684},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4820155203342438},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.47737595438957214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45864230394363403},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4523896872997284},{"id":"https://openalex.org/C186886427","wikidata":"https://www.wikidata.org/wiki/Q5441213","display_name":"Feedback loop","level":2,"score":0.41156741976737976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314960300922394},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.2971314787864685},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1686573624610901},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15698522329330444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13896870613098145},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13869348168373108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10946446657180786},{"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/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iecon48115.2021.9589457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon48115.2021.9589457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2021 \u2013 47th Annual Conference of the IEEE Industrial Electronics Society","raw_type":"proceedings-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/W198514691","https://openalex.org/W274943485","https://openalex.org/W633766628","https://openalex.org/W1603075192","https://openalex.org/W2054852748","https://openalex.org/W2084500162","https://openalex.org/W2090502015","https://openalex.org/W2128377848","https://openalex.org/W2133572773","https://openalex.org/W2135578018","https://openalex.org/W2137331053","https://openalex.org/W2145942024","https://openalex.org/W2554049453","https://openalex.org/W2613784664","https://openalex.org/W2945885630","https://openalex.org/W3004278730","https://openalex.org/W3011177900","https://openalex.org/W3021570681","https://openalex.org/W3104794861","https://openalex.org/W4253695808","https://openalex.org/W6608165677","https://openalex.org/W6636179442","https://openalex.org/W6679547798","https://openalex.org/W6680114075"],"related_works":["https://openalex.org/W1483643396","https://openalex.org/W2032315488","https://openalex.org/W2754158320","https://openalex.org/W2094633571","https://openalex.org/W3212608136","https://openalex.org/W1595475127","https://openalex.org/W2051990698","https://openalex.org/W1776861796","https://openalex.org/W2361232253","https://openalex.org/W1715012837"],"abstract_inverted_index":{"In":[0],"this":[1,41],"paper":[2],"we":[3],"derive":[4],"some":[5],"new":[6,99],"and":[7,78,93,107],"useful":[8],"conditions":[9,101],"on":[10,25,36,57],"the":[11,27,30,37,58,64,73,81,87,96],"open":[12,59,82],"loop":[13,19,32,49,60,83],"transfer":[14,61],"function,":[15],"necessary":[16,45,100],"for":[17,47,102],"closed":[18,31,48],"stability.":[20],"The":[21],"derivation":[22],"is":[23,42],"based":[24],"imposing":[26],"sign-invariance":[28],"of":[29,72,75,80],"characteristic":[33],"polynomial":[34],"evaluated":[35],"real":[38,76],"axis.":[39],"Although":[40],"a":[43],"simple":[44],"condition":[46],"stability,":[50],"it":[51],"leads":[52],"to":[53],"fairly":[54],"stringent":[55],"requirements":[56],"function.":[62],"Also,":[63],"results":[65],"can":[66],"be":[67],"stated":[68],"only":[69],"in":[70],"terms":[71],"numbers":[74],"poles":[77,92],"zeros":[79],"system":[84,88],"even":[85],"though":[86],"may":[89],"have":[90],"complex":[91],"zeros.":[94],"Using":[95],"same":[97],"approach":[98],"stabilizability":[103],"by":[104,113],"P,":[105],"PI":[106],"PID":[108],"controllers":[109,115],"as":[110,112],"well":[111],"arbitrary":[114],"are":[116],"also":[117],"presented.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}