{"id":"https://openalex.org/W2169703391","doi":"https://doi.org/10.1109/cdc.2010.5717932","title":"Razumikhin-type small-gain theorems for large-scale systems with delays","display_name":"Razumikhin-type small-gain theorems for large-scale systems with delays","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2169703391","doi":"https://doi.org/10.1109/cdc.2010.5717932","mag":"2169703391"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5108525884","display_name":"Shanaz Tiwari","orcid":null},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shanaz Tiwari","raw_affiliation_strings":["Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, USA","institution_ids":["https://openalex.org/I63772739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100756238","display_name":"Y\u00fcan Wang","orcid":"https://orcid.org/0000-0001-5813-6945"},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuan Wang","raw_affiliation_strings":["Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, USA","institution_ids":["https://openalex.org/I63772739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108525884"],"corresponding_institution_ids":["https://openalex.org/I63772739"],"apc_list":null,"apc_paid":null,"fwci":4.3356,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.94465651,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"7407","last_page":"7412"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.7515653371810913},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7097833156585693},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.67197585105896},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6281793117523193},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5747684240341187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5234453082084656},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5129641890525818},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4633166790008545},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4513992369174957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4329468011856079},{"id":"https://openalex.org/keywords/stability-theorem","display_name":"Stability theorem","score":0.41999128460884094},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4109543561935425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17400681972503662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.171921044588089},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13953739404678345},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10946905612945557},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09903281927108765},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07429111003875732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06919112801551819}],"concepts":[{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.7515653371810913},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7097833156585693},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.67197585105896},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6281793117523193},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5747684240341187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5234453082084656},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5129641890525818},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4633166790008545},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4513992369174957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4329468011856079},{"id":"https://openalex.org/C2985318062","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theorem","level":3,"score":0.41999128460884094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4109543561935425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17400681972503662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.171921044588089},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13953739404678345},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10946905612945557},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09903281927108765},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07429111003875732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06919112801551819},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/W1607633954","https://openalex.org/W1631707823","https://openalex.org/W1979651191","https://openalex.org/W1994003949","https://openalex.org/W2027526023","https://openalex.org/W2036826525","https://openalex.org/W2108553625","https://openalex.org/W2111435817","https://openalex.org/W2135425479","https://openalex.org/W2145160272","https://openalex.org/W2151136609","https://openalex.org/W2161450707","https://openalex.org/W3106028347","https://openalex.org/W4211202937","https://openalex.org/W6662103235","https://openalex.org/W6676130228"],"related_works":["https://openalex.org/W3115581721","https://openalex.org/W3090379879","https://openalex.org/W4281664580","https://openalex.org/W3138382208","https://openalex.org/W2169149328","https://openalex.org/W2075860534","https://openalex.org/W299439651","https://openalex.org/W2057006028","https://openalex.org/W2027526023","https://openalex.org/W2000945045"],"abstract_inverted_index":{"In":[0,22],"this":[1],"work,":[2],"small-gain":[3],"theorems":[4],"for":[5,49,61],"large-scale":[6],"time-delay":[7],"systems":[8,63],"are":[9,34],"developed":[10],"using":[11],"a":[12],"Razumikhin-type":[13],"approach,":[14],"both":[15],"in":[16],"terms":[17],"of":[18,25,46,58],"ISS":[19],"and":[20],"IOS.":[21],"the":[23,26,29,39,44,54],"spirit":[24],"Razumikhin":[27],"theorem,":[28],"state":[30],"variables":[31],"with":[32,64],"delays":[33],"treated":[35],"as":[36],"disturbances":[37],"to":[38,53],"system.":[40],"This":[41],"approach":[42],"converts":[43],"problem":[45,57],"stability":[47,59],"analysis":[48,60],"functional":[50],"differential":[51],"equations":[52],"more":[55],"tractable":[56],"delay-free":[62],"disturbances.":[65]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}