{"id":"https://openalex.org/W2565240525","doi":"https://doi.org/10.1109/cdc.2002.1184656","title":"Stabilization of discrete time systems by first order controllers","display_name":"Stabilization of discrete time systems by first order controllers","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2565240525","doi":"https://doi.org/10.1109/cdc.2002.1184656","mag":"2565240525"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5007998528","display_name":"R.N. Tantaris","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":"R.N. Tantaris","raw_affiliation_strings":["Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA"],"affiliations":[{"raw_affiliation_string":"Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA","institution_ids":["https://openalex.org/I75256744"]}]},{"author_position":"middle","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":false,"raw_author_name":"L.H. Keel","raw_affiliation_strings":["Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA"],"affiliations":[{"raw_affiliation_string":"Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, 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":["Department of Electrical Engineering; Texas A&M Univer-sity, TX","Department of Electrical Engineering","Texas A&M Univer-sity, TX"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering; Texas A&M Univer-sity, TX","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical Engineering","institution_ids":[]},{"raw_affiliation_string":"Texas A&M Univer-sity, TX","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007998528"],"corresponding_institution_ids":["https://openalex.org/I75256744"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6388012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"1084","last_page":"1089"},"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":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9932000041007996,"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/T11236","display_name":"Control Systems and Identification","score":0.9925000071525574,"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/mathematics","display_name":"Mathematics","score":0.5811981558799744},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5679389238357544},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5481574535369873},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5194613337516785},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.48727667331695557},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46772539615631104},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4592975676059723},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4419277310371399},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4404883086681366},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42511266469955444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39512506127357483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27018338441848755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23633116483688354},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11386275291442871},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.11374202370643616}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5811981558799744},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5679389238357544},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5481574535369873},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5194613337516785},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.48727667331695557},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46772539615631104},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4592975676059723},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4419277310371399},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4404883086681366},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42511266469955444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39512506127357483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27018338441848755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23633116483688354},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11386275291442871},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.11374202370643616},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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":17,"referenced_works":["https://openalex.org/W17212756","https://openalex.org/W48000686","https://openalex.org/W1555808932","https://openalex.org/W1574669531","https://openalex.org/W1590149319","https://openalex.org/W1987383424","https://openalex.org/W2002535445","https://openalex.org/W2003242375","https://openalex.org/W2089258779","https://openalex.org/W2149232645","https://openalex.org/W2150905682","https://openalex.org/W2210257286","https://openalex.org/W2475508658","https://openalex.org/W2479210408","https://openalex.org/W4285719527","https://openalex.org/W6601973947","https://openalex.org/W6720876835"],"related_works":["https://openalex.org/W2377770720","https://openalex.org/W94411513","https://openalex.org/W2113626999","https://openalex.org/W4311883357","https://openalex.org/W160889949","https://openalex.org/W2364696089","https://openalex.org/W309910862","https://openalex.org/W2369004811","https://openalex.org/W2064234232","https://openalex.org/W75826713"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,37,50,54,58,78,85,94,107,144,154,168,194,197,201,220],"problem":[3,108],"of":[4,31,53,105,109,113,120,123,136,156,171,196,215],"stabilizing":[5,32,198],"a":[6,21,102,114,121,137],"given":[7,115],"but":[8],"arbitrary":[9],"linear":[10,75,151],"time":[11,14,25],"invariant":[12],"discrete":[13,24],"system":[15],"with":[16],"transfer":[17],"function":[18],"P(z),":[19],"by":[20,73,91,143,161],"first":[22,133],"order":[23,111,134],"feedback":[26],"controller.":[27],"The":[28,47,61,139],"complete":[29,169],"set":[30,62,88,122,170,199],"controllers":[33,218],"is":[34,63,89,141,148,173,178,205],"determined":[35],"in":[36,81,200],"controller":[38,202],"parameter":[39,96,203],"space":[40,204],"[x/sub":[41],"1/,":[42],"x/sub":[43,45,71,97],"2/,":[44],"3/].":[46],"solution":[48,104,140],"involves":[49],"Tchebyshev":[51,79],"representation":[52],"characteristic":[55],"equation":[56],"on":[57,150],"unit":[59],"circle.":[60],"shown":[64],"to":[65,213,231],"be":[66,159],"computable":[67],"explicitly,":[68],"for":[69,182],"fixed":[70],"3/":[72],"solving":[74],"equations":[76,152],"involving":[77],"polynomials":[80],"closed":[82],"form,":[83],"and":[84,127,153,175,180,208,229],"three":[86],"dimensional":[87],"recovered":[90],"sweeping":[92],"over":[93],"scalar":[95],"3/.":[98],"This":[99],"result":[100],"gives":[101],"constructive":[103],"a)":[106],"\"first":[110],"stabilizability\"":[112],"plant":[116],"b)":[117],"simultaneous":[118],"stabilization":[119,135],"plants":[124],"P/sub":[125],"i/(z)":[126],"c)":[128],"stable":[129],"or":[130],"minimum":[131],"phase":[132],"plant.":[138],"facilitated":[142],"fact":[145,221],"that":[146,193,214,222],"it":[147],"based":[149],"intersection":[155],"sets":[157],"can":[158],"found":[160,174],"adding":[162],"more":[163,210],"equations.":[164],"In":[165],"each":[166],"case":[167],"solutions":[172],"this":[176],"feature":[177],"essential":[179],"important":[181],"imposing":[183],"further":[184],"design":[185,232],"requirements.":[186],"Illustrative":[187],"examples":[188],"are":[189,224,233],"included.":[190],"They":[191],"demonstrate":[192],"shape":[195],"quite":[206],"different":[207],"much":[209],"complicated":[211],"compared":[212],"digital":[216],"MID":[217],"despite":[219],"both":[223],"\"three":[225],"term":[226],"controllers\".":[227],"Extensions":[228],"applications":[230],"discussed.":[234]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}