{"id":"https://openalex.org/W2022780534","doi":"https://doi.org/10.1109/tac.2012.2203031","title":"Stability of Positive Differential Systems With Delay","display_name":"Stability of Positive Differential Systems With Delay","publication_year":2012,"publication_date":"2012-06-25","ids":{"openalex":"https://openalex.org/W2022780534","doi":"https://doi.org/10.1109/tac.2012.2203031","mag":"2022780534"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2203031","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2203031","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/A5050956546","display_name":"Pham Huu Anh Ngoc","orcid":"https://orcid.org/0000-0002-7958-9254"},"institutions":[{"id":"https://openalex.org/I47807185","display_name":"Saigon University","ror":"https://ror.org/01f1fsr30","country_code":"VN","type":"education","lineage":["https://openalex.org/I47807185"]},{"id":"https://openalex.org/I4210148897","display_name":"Saigon International University","ror":"https://ror.org/03x8feb02","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210148897"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Pham Huu Anh Ngoc","raw_affiliation_strings":["Department of Mathematics, International University, Saigon, Viet Nam","Dept. of Math., Int. Univ., Saigon, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, International University, Saigon, Viet Nam","institution_ids":["https://openalex.org/I4210148897"]},{"raw_affiliation_string":"Dept. of Math., Int. Univ., Saigon, Vietnam","institution_ids":["https://openalex.org/I47807185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050956546"],"corresponding_institution_ids":["https://openalex.org/I4210148897","https://openalex.org/I47807185"],"apc_list":null,"apc_paid":null,"fwci":19.324,"has_fulltext":false,"cited_by_count":146,"citation_normalized_percentile":{"value":0.99365442,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"58","issue":"1","first_page":"203","last_page":"209"},"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":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain 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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.6528773307800293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6378011107444763},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5986710786819458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5740538835525513},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5450255870819092},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5417514443397522},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5355693101882935},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5039636492729187},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45590299367904663},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4355509877204895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3575955629348755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3376331329345703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2060510814189911},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06824320554733276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06451678276062012},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0605294406414032}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6528773307800293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6378011107444763},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5986710786819458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5740538835525513},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5450255870819092},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5417514443397522},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5355693101882935},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5039636492729187},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45590299367904663},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4355509877204895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3575955629348755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3376331329345703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2060510814189911},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06824320554733276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06451678276062012},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0605294406414032},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2012.2203031","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2203031","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":16,"referenced_works":["https://openalex.org/W590413840","https://openalex.org/W615876487","https://openalex.org/W1500921805","https://openalex.org/W1604304367","https://openalex.org/W1968742902","https://openalex.org/W1983868185","https://openalex.org/W1991175598","https://openalex.org/W2042024445","https://openalex.org/W2049557302","https://openalex.org/W2060709277","https://openalex.org/W2129681350","https://openalex.org/W2132027151","https://openalex.org/W2136003379","https://openalex.org/W2165716201","https://openalex.org/W4211202937","https://openalex.org/W4235143360"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2144143333","https://openalex.org/W2027136373","https://openalex.org/W1261320338","https://openalex.org/W1675687971","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W1990421243","https://openalex.org/W1597558030"],"abstract_inverted_index":{"We":[0],"first":[1],"prove":[2],"an":[3],"explicit":[4],"criterion":[5],"for":[6,19],"positive":[7,23],"linear":[8,24,38],"time-varying":[9,42],"differential":[10,26,39,47],"systems":[11,27,40,48],"with":[12,28,41,49],"distributed":[13],"delay.":[14,50],"Then":[15],"some":[16,61],"simple":[17],"criteria":[18],"exponential":[20],"stability":[21],"of":[22,60],"time-invariant":[25],"delay":[29,43],"are":[30,58],"presented.":[31],"Finally,":[32],"we":[33],"extend":[34],"obtained":[35],"results":[36,52,63],"to":[37,45],"and":[44,66],"nonlinear":[46],"The":[51],"given":[53],"in":[54,64],"this":[55],"technical":[56],"note":[57],"extensions":[59],"recent":[62],",[7],[11]":[65],"[14].":[67]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":7}],"updated_date":"2026-06-03T09:05:47.796612","created_date":"2025-10-10T00:00:00"}