{"id":"https://openalex.org/W1975915100","doi":"https://doi.org/10.1137/060670766","title":"Stability Crossing Curves of Shifted Gamma-Distributed Delay Systems","display_name":"Stability Crossing Curves of Shifted Gamma-Distributed Delay Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1975915100","doi":"https://doi.org/10.1137/060670766","mag":"1975915100"},"language":"en","primary_location":{"id":"doi:10.1137/060670766","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060670766","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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":null,"display_name":"Constantin-Irinel Mor\u0103rescu","orcid":null},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Constantin-Irinel Mor\u0103rescu","raw_affiliation_strings":["Politehnica\u201d University of Bucharest"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politehnica\u201d University of Bucharest","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silviu-Iulian Niculescu","raw_affiliation_strings":["CentraleSup\u00e9lec"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CentraleSup\u00e9lec","institution_ids":["https://openalex.org/I4210107720"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086584348","display_name":"Keqin Gu","orcid":"https://orcid.org/0000-0003-2587-4284"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keqin Gu","raw_affiliation_strings":["Southern Illinois Univ Edwardsville"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern Illinois Univ Edwardsville","institution_ids":["https://openalex.org/I87547150"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.849,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96883054,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"6","issue":"2","first_page":"475","last_page":"493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9984999895095825,"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/T10524","display_name":"Traffic control and management","score":0.9984999895095825,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9824000000953674,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7068856954574585},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.6623117923736572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6327248215675354},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5297064781188965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5107138156890869},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5068023800849915},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4232482612133026},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41533946990966797},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23263990879058838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.134699285030365}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7068856954574585},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.6623117923736572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6327248215675354},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5297064781188965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5107138156890869},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5068023800849915},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4232482612133026},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41533946990966797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23263990879058838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.134699285030365},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060670766","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060670766","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02271891v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02271891","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Dynamical Systems, 2007, 6 (2), pp.475-493. &#x27E8;10.1137/060670766&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W11435784","https://openalex.org/W1487864787","https://openalex.org/W1586658033","https://openalex.org/W1607633954","https://openalex.org/W1995945562","https://openalex.org/W2001238953","https://openalex.org/W2018766003","https://openalex.org/W2019311512","https://openalex.org/W2047688790","https://openalex.org/W2049176600","https://openalex.org/W2057999733","https://openalex.org/W2062210472","https://openalex.org/W2069701703","https://openalex.org/W2071969188","https://openalex.org/W2074178424","https://openalex.org/W2076172923","https://openalex.org/W2130105600","https://openalex.org/W2138213498","https://openalex.org/W2336839322","https://openalex.org/W3009810086","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1968537504","https://openalex.org/W2949789807","https://openalex.org/W4249606069","https://openalex.org/W2009874774","https://openalex.org/W114645152","https://openalex.org/W4229691196","https://openalex.org/W4242031325","https://openalex.org/W2043906542","https://openalex.org/W2001762652","https://openalex.org/W4318621109"],"abstract_inverted_index":{"This":[0,108],"paper":[1],"characterizes":[2],"the":[3,22,26,31,36,40,46,52,68,76,82,86,95,101,111,116,123],"stability":[4,48,72,124],"crossing":[5,23,49,73,125],"curves":[6,74,126],"of":[7,10,28,54,64,97,113,122,147],"a":[8,17,148],"class":[9],"linear":[11],"systems":[12],"with":[13,16],"gamma-distributed":[14],"delay":[15,84],"gap.":[18],"First,":[19],"we":[20,44],"describe":[21,45],"set,":[24],"i.e.,":[25,51],"set":[27,53],"frequencies":[29],"where":[30,115],"characteristic":[32,65,98],"roots":[33,66,99],"may":[34],"cross":[35],"imaginary":[37,69],"axis":[38],"as":[39],"parameters":[41,55,114],"change.":[42],"Then,":[43],"corresponding":[47],"curves,":[50],"such":[56,93],"that":[57],"there":[58],"is":[59,106,118,127],"at":[60],"least":[61],"one":[62],"pair":[63],"on":[67,100],"axis.":[70],"Such":[71],"divide":[75],"parameter":[77],"space":[78],"$\\mathbb{R}_{+}^{2}$":[79],"defined":[80],"by":[81],"mean":[83],"and":[85,143],"gap":[87],"into":[88],"different":[89],"regions.":[90],"Within":[91],"each":[92],"region,":[94],"number":[96],"right":[102],"half":[103],"complex":[104],"plane":[105],"fixed.":[107],"naturally":[109],"describes":[110],"regions":[112],"system":[117],"stable.":[119],"The":[120],"classification":[121],"also":[128,153],"discussed.":[129],"Some":[130],"illustrative":[131],"examples":[132],"(Cushing":[133],"equation":[134],"in":[135,140],"biology,":[136],"traffic":[137],"flow":[138],"models":[139],"transportation":[141],"systems,":[142],"control":[144],"over":[145],"networks":[146],"simplified":[149],"helicopter":[150],"model)":[151],"are":[152],"presented.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
