{"id":"https://openalex.org/W1991960271","doi":"https://doi.org/10.1080/00207170802549586","title":"New characterisations of positive realness and static output feedback control of discrete-time systems","display_name":"New characterisations of positive realness and static output feedback control of discrete-time systems","publication_year":2009,"publication_date":"2009-02-14","ids":{"openalex":"https://openalex.org/W1991960271","doi":"https://doi.org/10.1080/00207170802549586","mag":"1991960271"},"language":"en","primary_location":{"id":"doi:10.1080/00207170802549586","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170802549586","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5101972073","display_name":"Xin Du","orcid":"https://orcid.org/0000-0001-7424-1438"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Du","raw_affiliation_strings":["a  College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning,  China","College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"a  College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning,  China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031737874","display_name":"Guang\u2010Hong Yang","orcid":"https://orcid.org/0000-0002-8911-0112"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guang-Hong Yang","raw_affiliation_strings":["a  College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning,  China","b  Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education , Shenyang, Liaoning,  China","College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning, China","Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education , Shenyang, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"a  College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning,  China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"b  Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education , Shenyang, Liaoning,  China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University , Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education , Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031737874"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":6.1233,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.95748186,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"82","issue":"8","first_page":"1485","last_page":"1495"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9991000294685364,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9991000294685364,"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/lyapunov-function","display_name":"Lyapunov function","score":0.6015361547470093},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5678139925003052},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5534386038780212},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5240721106529236},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.51861971616745},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5042072534561157},{"id":"https://openalex.org/keywords/china","display_name":"China","score":0.4910550117492676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48858627676963806},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4792454242706299},{"id":"https://openalex.org/keywords/conservatism","display_name":"Conservatism","score":0.46887850761413574},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4633041024208069},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.44203120470046997},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4248446822166443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3535465598106384},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1910334825515747},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.18630820512771606},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18443521857261658},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17556247115135193},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.09654811024665833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09505888819694519},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08691531419754028}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6015361547470093},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5678139925003052},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5534386038780212},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5240721106529236},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.51861971616745},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5042072534561157},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.4910550117492676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48858627676963806},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4792454242706299},{"id":"https://openalex.org/C96640997","wikidata":"https://www.wikidata.org/wiki/Q5163004","display_name":"Conservatism","level":3,"score":0.46887850761413574},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4633041024208069},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.44203120470046997},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4248446822166443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3535465598106384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1910334825515747},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.18630820512771606},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18443521857261658},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17556247115135193},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.09654811024665833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09505888819694519},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08691531419754028},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170802549586","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170802549586","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1559051773","https://openalex.org/W1582056160","https://openalex.org/W2002127200","https://openalex.org/W2023129790","https://openalex.org/W2030377747","https://openalex.org/W2032925000","https://openalex.org/W2042741865","https://openalex.org/W2051114549","https://openalex.org/W2059086242","https://openalex.org/W2062681803","https://openalex.org/W2064726126","https://openalex.org/W2068285260","https://openalex.org/W2075583098","https://openalex.org/W2077418568","https://openalex.org/W2084715914","https://openalex.org/W2105326903","https://openalex.org/W2106177738","https://openalex.org/W2117964155","https://openalex.org/W2132005028","https://openalex.org/W2133237971","https://openalex.org/W2139878700","https://openalex.org/W2147486518","https://openalex.org/W2151496912","https://openalex.org/W2154044079","https://openalex.org/W2155166604","https://openalex.org/W2170125401","https://openalex.org/W2171884062","https://openalex.org/W2186764569","https://openalex.org/W2325556343","https://openalex.org/W4235701615"],"related_works":["https://openalex.org/W2364185937","https://openalex.org/W2121801708","https://openalex.org/W1990502710","https://openalex.org/W2367378039","https://openalex.org/W2142189599","https://openalex.org/W2031688084","https://openalex.org/W2378126235","https://openalex.org/W3047092141","https://openalex.org/W1986824406","https://openalex.org/W2551874408"],"abstract_inverted_index":{"Abstract":[0],"This":[1,117],"article":[2],"is":[3,119],"concerned":[4],"with":[5,72],"the":[6,34,45,49,66,133,155,168,180,191],"problems":[7],"of":[8,24,61,69,91,96,139,159,163,170,173,182,185],"positive":[9,25,35,67,83,107],"real":[10,84],"analysis":[11],"and":[12,48,147,179],"control":[13],"synthesis":[14],"for":[15,64,79,104,125,135,144],"discrete-time":[16,70],"systems.":[17],"New":[18,126],"linear":[19,97],"matrix":[20,98,113],"inequality":[21,114],"(LMI)":[22,115],"characterisations":[23,47],"realness":[26,36,68],"are":[27,52,60,87,102],"derived,":[28],"which":[29,54],"enable":[30],"one":[31],"to":[32,93],"check":[33],"by":[37,123],"using":[38],"parameter-dependent":[39],"Lyapunov":[40,109],"function.":[41],"The":[42],"relationship":[43],"between":[44],"proposed":[46],"existing":[50],"ones":[51],"clarified,":[53],"shows":[55],"that":[56],"our":[57],"new":[58],"results":[59],"less":[62],"conservatism":[63],"characterising":[65],"systems":[71],"polytopic":[73],"uncertainty.":[74],"In":[75],"addition,":[76],"sufficient":[77],"conditions":[78],"static":[80],"output":[81,111],"feedback":[82],"controller":[85],"design":[86],"given":[88],"in":[89,121,130,151],"terms":[90],"solutions":[92],"a":[94],"set":[95],"inequalities.":[99],"Numerical":[100],"examples":[101],"included":[103],"illustration.":[105],"Keywords:":[106],"realnessparameter-dependent":[108],"functionstatic":[110],"feedbacklinear":[112],"Acknowledgements":[116],"work":[118],"supported":[120],"part":[122],"Program":[124,143,158],"Century":[127],"Excellent":[128],"Talents":[129],"University":[131,152],"(NCET-04-0283),":[132],"Funds":[134,169,181],"Creative":[136],"Research":[137,149],"Groups":[138],"China":[140,164,174,187],"(No.":[141,153],"60521003),":[142],"Changjiang":[145],"Scholars":[146],"Innovative":[148],"Team":[150],"IRT0421),":[154],"State":[156],"Key":[157],"National":[160,171],"Natural":[161],"Science":[162,172],"(Grant":[165,175,188],"No.":[166,176,189],"60534010),":[167],"60804024,":[177],"60674021)":[178],"PhD":[183],"program":[184],"MOE,":[186],"20060145019),":[190],"111":[192],"Project":[193],"(B08015).":[194]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}