{"id":"https://openalex.org/W1877700460","doi":"https://doi.org/10.1109/cca.2003.1223137","title":"Direct method implementation for the stability analysis of multiple time delayed systems","display_name":"Direct method implementation for the stability analysis of multiple time delayed systems","publication_year":2004,"publication_date":"2004-01-24","ids":{"openalex":"https://openalex.org/W1877700460","doi":"https://doi.org/10.1109/cca.2003.1223137","mag":"1877700460"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2003.1223137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2003.1223137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003.","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/A5010923592","display_name":"Rifat Sipahi","orcid":"https://orcid.org/0000-0001-9307-5324"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Sipahi","raw_affiliation_strings":["University of Connecticut, Storrs, CT, USA","[Connecticut Univ., Storrs, CT, USA]"],"affiliations":[{"raw_affiliation_string":"University of Connecticut, Storrs, CT, USA","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"[Connecticut Univ., Storrs, CT, USA]","institution_ids":["https://openalex.org/I140172145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007600921","display_name":"Nejat Olga\u00e7","orcid":"https://orcid.org/0000-0003-3376-8756"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Olgac","raw_affiliation_strings":["University of Connecticut, Storrs, CT, USA","[Connecticut Univ., Storrs, CT, USA]"],"affiliations":[{"raw_affiliation_string":"University of Connecticut, Storrs, CT, USA","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"[Connecticut Univ., Storrs, CT, USA]","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010923592"],"corresponding_institution_ids":["https://openalex.org/I140172145"],"apc_list":null,"apc_paid":null,"fwci":1.0025,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71557072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"943","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9940999746322632,"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/stability","display_name":"Stability (learning theory)","score":0.7004239559173584},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6933443546295166},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6788880825042725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5628622770309448},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.5227184891700745},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5109319090843201},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4778944253921509},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4712427258491516},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4515603184700012},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42507585883140564},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3885684013366699},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3300740122795105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23902291059494019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.108377605676651},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07409593462944031}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7004239559173584},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6933443546295166},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6788880825042725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5628622770309448},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.5227184891700745},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5109319090843201},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4778944253921509},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4712427258491516},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4515603184700012},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42507585883140564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3885684013366699},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3300740122795105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23902291059494019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.108377605676651},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07409593462944031},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2003.1223137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2003.1223137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003.","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":16,"referenced_works":["https://openalex.org/W138967515","https://openalex.org/W948591580","https://openalex.org/W1654369324","https://openalex.org/W1973041369","https://openalex.org/W2013754139","https://openalex.org/W2013963507","https://openalex.org/W2032716745","https://openalex.org/W2046455140","https://openalex.org/W2100757047","https://openalex.org/W2467963231","https://openalex.org/W4302392237","https://openalex.org/W6625009813","https://openalex.org/W6637015200","https://openalex.org/W6653708856","https://openalex.org/W6662476796","https://openalex.org/W7034144185"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2144143333","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W1990421243","https://openalex.org/W776139355","https://openalex.org/W3007064390","https://openalex.org/W2105658174"],"abstract_inverted_index":{"A":[0],"recent":[1],"procedure,":[2],"the":[3,10,36,57,67,80,85,101,105,108,117,132,140,161,164,167,175,179,191],"direct":[4,180],"method":[5,165,181],"(DM),":[6],"is":[7,53,74,98,129],"presented":[8],"for":[9,79,116,157],"stability":[11,51,81,137,162],"treatment":[12,173],"of":[13,16,43,56,69,104,142,171,174,193],"a":[14,186],"class":[15,42],"linear":[17],"time":[18,25,89,92,119,144],"invariant":[19],"(LTI)":[20],"systems":[21,37,147],"with":[22,87],"independent":[23],"multiple":[24,122,143],"delays":[26,90,93,120],"(MTDS).":[27],"Since":[28],"they":[29],"appear":[30],"in":[31,35,100,139],"many":[32],"practical":[33],"applications":[34],"and":[38,66,113],"control":[39],"community,":[40],"this":[41],"dynamics":[44],"has":[45],"attracted":[46],"considerable":[47],"interest.":[48],"However":[49],"their":[50],"analysis":[52,163],"complicated":[54],"because":[55],"infinite":[58],"dimensional":[59],"nature":[60],"(due,":[61],"solely,":[62],"to":[63,77,84,121,153],"each":[64],"delay)":[65],"multiplicity":[68],"these":[70],"delays.":[71,145,159],"The":[72,146],"problem":[73],"more":[75],"challenging":[76],"resolve":[78],"posture":[82],"compared":[83],"TDS":[86],"commensurate":[88,118],"(where":[91],"have":[94,152],"rational":[95],"relations).":[96],"It":[97,128],"shown":[99,130],"earlier":[102],"publications":[103],"authors":[106],"that":[107,131],"DM":[109,133,194],"brings":[110],"an":[111],"exact":[112],"structured":[114],"methodology":[115],"delay":[123],"cases":[124],"motivates":[125],"our":[126],"study.":[127],"reveals":[134],"all":[135],"possible":[136],"regions":[138],"space":[141],"under":[148],"consideration":[149],"do":[150],"not":[151],"possess":[154],"stable":[155],"behavior":[156],"zero":[158],"For":[160],"follows":[166],"same":[168],"fundamental":[169],"paradigm":[170],"\"cluster":[172],"characteristic":[176],"roots\"":[177],"as":[178],"does.":[182],"Finally":[183],"we":[184],"present":[185],"few":[187],"numerical":[188],"examples":[189],"exhibiting":[190],"strengths":[192],"procedure.":[195]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
