{"id":"https://openalex.org/W37474330","doi":"https://doi.org/10.1109/tac.2014.2344295","title":"&lt;inline-formula&gt; &lt;tex-math notation=\"TeX\"&gt;$\\ell_{\\infty}/L_{\\infty} $&lt;/tex-math&gt;&lt;/inline-formula&gt;-Gain Analysis for Positive Linear Systems With Unbounded Time-Varying Delays","display_name":"&lt;inline-formula&gt; &lt;tex-math notation=\"TeX\"&gt;$\\ell_{\\infty}/L_{\\infty} $&lt;/tex-math&gt;&lt;/inline-formula&gt;-Gain Analysis for Positive Linear Systems With Unbounded Time-Varying Delays","publication_year":2014,"publication_date":"2014-07-30","ids":{"openalex":"https://openalex.org/W37474330","doi":"https://doi.org/10.1109/tac.2014.2344295","mag":"37474330"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2344295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2344295","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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":"https://openalex.org/A5017887363","display_name":"Jun Shen","orcid":"https://orcid.org/0000-0002-0361-0512"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Jun Shen","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","[Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"[Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James Lam","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","[Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"[Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017887363"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":3.6253,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.93609469,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"60","issue":"3","first_page":"857","last_page":"862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9948999881744385,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9779999852180481,"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/monotonic-function","display_name":"Monotonic function","score":0.7813329100608826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5349873900413513},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.47621187567710876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46411094069480896},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3623892664909363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32965028285980225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3216562271118164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19892656803131104},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15707963705062866}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7813329100608826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5349873900413513},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.47621187567710876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46411094069480896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3623892664909363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32965028285980225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3216562271118164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19892656803131104},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15707963705062866}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2014.2344295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2344295","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:hub.hku.hk:10722/219127","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/219127","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W51039983","https://openalex.org/W239577987","https://openalex.org/W615876487","https://openalex.org/W1546787009","https://openalex.org/W1588361004","https://openalex.org/W1604304367","https://openalex.org/W1915419930","https://openalex.org/W1979188460","https://openalex.org/W1980711174","https://openalex.org/W2006936259","https://openalex.org/W2008464444","https://openalex.org/W2008782864","https://openalex.org/W2022780534","https://openalex.org/W2052502703","https://openalex.org/W2058221907","https://openalex.org/W2059310861","https://openalex.org/W2063732874","https://openalex.org/W2079629840","https://openalex.org/W2082380850","https://openalex.org/W2088310760","https://openalex.org/W2095178583","https://openalex.org/W2102021212","https://openalex.org/W2128195908","https://openalex.org/W2129681350","https://openalex.org/W2133595076","https://openalex.org/W2139207988","https://openalex.org/W2155039147","https://openalex.org/W2165716201","https://openalex.org/W2168381406","https://openalex.org/W2962865436","https://openalex.org/W4235143360"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2116636209","https://openalex.org/W2053698688","https://openalex.org/W2005710836","https://openalex.org/W4366779185"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"addresses":[3],"the":[4,30,36,43,51,67,72,92,97,103,112,129,135,141],"\u2113":[5,52],"<sub":[6,12,53,114],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,13,54,115],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[8,14,55,116],"-gain":[9,56,117],"(respectively,":[10,20],"L":[11,113],"-gain)":[15],"analysis":[16],"problem":[17],"for":[18],"discrete-time":[19,31,58],"continuous-time)":[21],"positive":[22,59,80,94,100,120],"linear":[23],"systems":[24,60,121],"with":[25,61,96,122,149],"unbounded":[26,62,123,150],"time-varying":[27],"delays.":[28,70],"For":[29,71],"case,":[32,74],"by":[33,90,134,145],"virtue":[34],"of":[35,38,57,66,69,118,128,140],"monotonicity":[37,85],"an":[39],"auxiliary":[40],"system":[41,81,95,101,136,148],"and":[42,82,86,102,131],"corresponding":[44,104],"delay-free":[45,105],"system,":[46,106],"it":[47,107],"is":[48,64,108,125,143],"shown":[49],"that":[50,111],"delays":[63,124,130],"insensitive":[65],"magnitude":[68],"continuous-time":[73,119],"we":[75],"first":[76],"construct":[77],"a":[78,146],"sampled-data":[79,99,147],"analyze":[83],"its":[84],"asymptotic":[87],"behavior.":[88],"Then,":[89],"comparing":[91],"delayed":[93],"proposed":[98],"further":[109],"proved":[110],"also":[126],"independent":[127],"fully":[132],"determined":[133],"matrices.":[137],"The":[138],"application":[139],"results":[142],"illustrated":[144],"sampling":[151],"intervals.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}