{"id":"https://openalex.org/W2082940464","doi":"https://doi.org/10.1109/cdc.2011.6160753","title":"A systems theoretic analysis of fast varying and state dependent delays","display_name":"A systems theoretic analysis of fast varying and state dependent delays","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2082940464","doi":"https://doi.org/10.1109/cdc.2011.6160753","mag":"2082940464"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160753","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5008378186","display_name":"Wim Michiels","orcid":"https://orcid.org/0000-0002-0877-0080"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Wim Michiels","raw_affiliation_strings":["Department of Computer Science, KU Leuven, Belgium","Dept. of Computer Science, K.U.Leuven, Belgium#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Dept. of Computer Science, K.U.Leuven, Belgium#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026871182","display_name":"Erik I. Verriest","orcid":"https://orcid.org/0000-0002-0071-8763"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erik I. Verriest","raw_affiliation_strings":["Department of Electrical Engineering, Georgia Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Georgia Institute of Technology, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008378186"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":1.9575,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88519792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":null,"first_page":"6313","last_page":"6318"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9934999942779541,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/uniqueness","display_name":"Uniqueness","score":0.7832858562469482},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.7528127431869507},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6057213544845581},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5687971115112305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5207757353782654},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5072321891784668},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5022554397583008},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.407913476228714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4010322391986847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1832772195339203},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09583771228790283},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08156633377075195},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07122543454170227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06931048631668091}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7832858562469482},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.7528127431869507},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6057213544845581},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5687971115112305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5207757353782654},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5072321891784668},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5022554397583008},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.407913476228714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4010322391986847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1832772195339203},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09583771228790283},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08156633377075195},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07122543454170227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06931048631668091},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/cdc.2011.6160753","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309321","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1969503076","https://openalex.org/W1972729931","https://openalex.org/W1986596303","https://openalex.org/W1987026304","https://openalex.org/W2029421142","https://openalex.org/W2047017331","https://openalex.org/W2051299571","https://openalex.org/W2053599456","https://openalex.org/W2078625090","https://openalex.org/W2079871064","https://openalex.org/W2092382638","https://openalex.org/W2097114089","https://openalex.org/W2097638161","https://openalex.org/W2118687002","https://openalex.org/W2125023192","https://openalex.org/W2135395422","https://openalex.org/W2149302262","https://openalex.org/W2150453753","https://openalex.org/W2156474948","https://openalex.org/W2977318642","https://openalex.org/W6647201092"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2969742028"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,22,27,41,46,49,53,87,122,124],"this":[3],"note":[4],"is":[5,36,81],"to":[6,63,70],"discuss":[7],"conditions":[8],"on":[9,59,97],"delay":[10,32,61,99],"derivatives,":[11],"frequently":[12],"encountered":[13],"in":[14,75,106,113,120],"the":[15,31,39,44,47,56,60,98],"literature,":[16],"from":[17],"a":[18,72,76,84,90,107],"systems":[19,88],"theory":[20],"point":[21],"view.":[23],"First":[24],"an":[25],"overview":[26],"potential":[28],"problems":[29,66],"when":[30],"rate":[33,100],"exceeds":[34],"one":[35],"given,":[37],"including":[38],"violation":[40,45],"causality":[42],"and":[43,51,109],"principe":[48],"existence":[50],"uniqueness":[52],"solutions.":[54,125],"Second,":[55],"required":[57],"assumptions":[58,96],"variation":[62],"overcome":[64],"these":[65],"are":[67,101],"stated,":[68],"allowing":[69],"define":[71],"state":[73],"space":[74],"rigorous":[77],"way.":[78],"Finally,":[79],"it":[80],"shown":[82],"that":[83],"stability":[85],"analysis":[86],"with":[89],"fast":[91],"varying":[92],"delay,":[93],"where":[94],"no":[95],"made,":[102],"can":[103],"be":[104,118],"performed":[105],"meaningful":[108],"practically":[110],"relevant":[111],"way":[112],"some":[114],"cases,":[115],"but":[116],"should":[117],"interpreted":[119],"terms":[121],"relaxations":[123]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"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"}