{"id":"https://openalex.org/W1602838723","doi":"https://doi.org/10.1109/cdc.2003.1272433","title":"Analysis of multiple interval delay systems via sufficient and asymptotically necessary comparison system","display_name":"Analysis of multiple interval delay systems via sufficient and asymptotically necessary comparison system","publication_year":2004,"publication_date":"2004-06-21","ids":{"openalex":"https://openalex.org/W1602838723","doi":"https://doi.org/10.1109/cdc.2003.1272433","mag":"1602838723"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/A5041343037","display_name":"Carl R. Knospe","orcid":"https://orcid.org/0000-0001-7335-8378"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C.R. Knospe","raw_affiliation_strings":["Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086502993","display_name":"Mardavij Roozbehani","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Roozbehani","raw_affiliation_strings":["Massachsuetts lnstitute of Technology, Cambridge, MA, USA","University of Virginia, USA"],"affiliations":[{"raw_affiliation_string":"Massachsuetts lnstitute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"University of Virginia, USA","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041343037"],"corresponding_institution_ids":["https://openalex.org/I51556381"],"apc_list":null,"apc_paid":null,"fwci":2.6077,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.89073298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5041","last_page":"5047"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9962000250816345,"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":0.9911999702453613,"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6888750791549683},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6793106198310852},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6662955284118652},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6645307540893555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6572636961936951},{"id":"https://openalex.org/keywords/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.6423987150192261},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49040889739990234},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4782373309135437},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4602116644382477},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44924139976501465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42584678530693054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28836238384246826},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20193877816200256},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15891900658607483},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0852327048778534},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059155404567718506}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6888750791549683},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6793106198310852},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6662955284118652},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6645307540893555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6572636961936951},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.6423987150192261},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49040889739990234},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4782373309135437},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4602116644382477},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44924139976501465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42584678530693054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28836238384246826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20193877816200256},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15891900658607483},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0852327048778534},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059155404567718506},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/cdc.2003.1272433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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":20,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1511844883","https://openalex.org/W1533970237","https://openalex.org/W1575657010","https://openalex.org/W1589577058","https://openalex.org/W1841792353","https://openalex.org/W1960635674","https://openalex.org/W1988336702","https://openalex.org/W1992572795","https://openalex.org/W2024713406","https://openalex.org/W2054535252","https://openalex.org/W2082026088","https://openalex.org/W2100757047","https://openalex.org/W2109452072","https://openalex.org/W2179522436","https://openalex.org/W4205964290","https://openalex.org/W4251758529","https://openalex.org/W4282825885","https://openalex.org/W4285719527","https://openalex.org/W6641056201"],"related_works":["https://openalex.org/W2392120131","https://openalex.org/W59395856","https://openalex.org/W2237487746","https://openalex.org/W2116139986","https://openalex.org/W4399578928","https://openalex.org/W2099520116","https://openalex.org/W2621837466","https://openalex.org/W2319388306","https://openalex.org/W2381270763","https://openalex.org/W2550665586"],"abstract_inverted_index":{"We":[0],"examine":[1],"the":[2,50,59,71,74,85,104,107,117,123,126,144],"stability":[3,42,48,72,141],"of":[4,43,49,70,73,106,116,125,143],"linear":[5],"time-delay":[6,52],"systems":[7],"with":[8,28],"several":[9],"constant,":[10],"unknown":[11],"and":[12],"independent":[13,115],"delays,":[14],"each":[15],"residing":[16],"within":[17],"a":[18,36,67,91,98],"known":[19,100],"interval":[20],"excluding":[21],"zero.":[22],"The":[23,40],"delay":[24],"elements":[25],"are":[26,88],"replaced":[27],"parameter-dependent":[29,86],"filters,":[30],"satisfying":[31],"three":[32],"properties,":[33],"resulting":[34],"in":[35,58,90],"delay-free":[37],"comparison":[38,108,127,145],"system.":[39,53,146],"robust":[41],"this":[44,121],"finite-dimensional":[45],"system":[46,75,109,118,128],"guarantees":[47],"original":[51],"This":[54],"result":[55],"is":[56,81,114,137],"unique":[57],"sense":[60],"that":[61,83],"it":[62],"does":[63],"not":[64],"require":[65],"any":[66],"priori":[68,99],"knowledge":[69],"for":[76,140],"some":[77],"fixed":[78],"delay.":[79],"It":[80],"shown":[82],"if":[84],"filters":[87],"constructed":[89],"particular":[92],"fashion,":[93],"using":[94],"Pade":[95],"approximations,":[96],"an":[97],"upper":[101],"bound":[102],"on":[103],"degree-of-conservatism":[105],"may":[110],"be":[111,130],"provided,":[112],"which":[113],"data.":[119],"In":[120],"case,":[122],"conservatism":[124],"can":[129],"made":[131],"arbitrarily":[132],"small.":[133],"An":[134],"LMI":[135],"formulation":[136],"then":[138],"presented":[139],"analysis":[142]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}