{"id":"https://openalex.org/W2012251160","doi":"https://doi.org/10.1080/00207720500139773","title":"Delay-dependent and delay-independent energy-to-peak model approximation for systems with time-varying delay","display_name":"Delay-dependent and delay-independent energy-to-peak model approximation for systems with time-varying delay","publication_year":2005,"publication_date":"2005-06-15","ids":{"openalex":"https://openalex.org/W2012251160","doi":"https://doi.org/10.1080/00207720500139773","mag":"2012251160"},"language":"en","primary_location":{"id":"doi:10.1080/00207720500139773","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500139773","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5100434786","display_name":"Qing Wang","orcid":"https://orcid.org/0000-0001-7228-6472"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]},{"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":"Qing Wang","raw_affiliation_strings":["Department of Mechanical Engineering , The University of Hong Kong ,  Hong Kong","Department of Mechanical Engineering, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , The University of Hong Kong ,  Hong Kong","institution_ids":["https://openalex.org/I177725633","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]},{"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","Department of Mechanical Engineering, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , The University of Hong Kong ,  Hong Kong","institution_ids":["https://openalex.org/I177725633","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["Department of Automation , Nanjing University of Science and Technology ,  Nanjing ,  PR China","Department of Automation, Nanjing University of Science and Technology, Nanjing, PR China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation , Nanjing University of Science and Technology ,  Nanjing ,  PR China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"Department of Automation, Nanjing University of Science and Technology, Nanjing, PR China#TAB#","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036684787","display_name":"Huijun Gao","orcid":"https://orcid.org/0000-0001-5554-5452"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huijun Gao","raw_affiliation_strings":["The Inertial Navigation Center , Harbin Institute of Technology ,  Harbin ,  150001 ,  PR China","The Inertial Navigation Center , Harbin Institute of Technology , Harbin , 150001 , PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Inertial Navigation Center , Harbin Institute of Technology ,  Harbin ,  150001 ,  PR China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"The Inertial Navigation Center , Harbin Institute of Technology , Harbin , 150001 , PR China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8591,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92517639,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"36","issue":"8","first_page":"445","last_page":"460"},"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":0.9997000098228455,"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"}},"topics":[{"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9902999997138977,"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/mathematics","display_name":"Mathematics","score":0.6389434933662415},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5767470598220825},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4987466335296631},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.48898327350616455},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.48206859827041626},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4604009687900543},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.44711771607398987},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.41291502118110657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36071181297302246},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3168255090713501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2113419473171234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1478641927242279},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11625370383262634},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0803515613079071}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6389434933662415},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5767470598220825},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4987466335296631},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.48898327350616455},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.48206859827041626},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4604009687900543},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.44711771607398987},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.41291502118110657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36071181297302246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3168255090713501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2113419473171234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1478641927242279},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11625370383262634},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0803515613079071},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207720500139773","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500139773","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:hub.hku.hk:10722/156797","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/156797","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1193630639","https://openalex.org/W1497580150","https://openalex.org/W1542318010","https://openalex.org/W1547514605","https://openalex.org/W1589786325","https://openalex.org/W1607633954","https://openalex.org/W1680145833","https://openalex.org/W1968868048","https://openalex.org/W1986905607","https://openalex.org/W2004778207","https://openalex.org/W2007784570","https://openalex.org/W2037723409","https://openalex.org/W2039867272","https://openalex.org/W2054534795","https://openalex.org/W2059437414","https://openalex.org/W2073419340","https://openalex.org/W2097128294","https://openalex.org/W2104883190","https://openalex.org/W2131406112","https://openalex.org/W2138880285","https://openalex.org/W2150295061","https://openalex.org/W2166713991","https://openalex.org/W2169437909","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W2534016764","https://openalex.org/W4211202937"],"related_works":["https://openalex.org/W2037008369","https://openalex.org/W2083813704","https://openalex.org/W2093585199","https://openalex.org/W1859974437","https://openalex.org/W189995875","https://openalex.org/W1913954093","https://openalex.org/W3177870706","https://openalex.org/W2068084037","https://openalex.org/W2087686193","https://openalex.org/W2314644317"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,15,88],"the":[4,20,24,52,58,71,78,84,113,122,125],"problem":[5,82],"of":[6,23,38,45,63,86,93,102,124],"computing":[7],"an":[8],"approximation":[9,72,81,97,114,127],"system":[10,14,26,73],"for":[11],"a":[12,30,34,66,103],"given":[13,42],"time-varying":[16],"delay":[17],"such":[18],"that":[19],"energy-to-peak":[21,39,64,79,95],"gain":[22,40],"error":[25],"is":[27,41,74,109],"less":[28],"than":[29],"prescribed":[31],"scalar.":[32],"First,":[33],"delay-dependent":[35,60,104],"boundedness":[36,61],"condition":[37,62,68],"in":[43,83],"terms":[44],"linear":[46],"matrix":[47],"inequalities":[48],"(LMIs),":[49],"which":[50],"recovers":[51],"delay-independent":[53,94],"case.":[54],"Then,":[55],"based":[56],"on":[57],"established":[59],"gain,":[65],"sufficient":[67],"to":[69,76,111,120],"characterize":[70],"obtained":[75],"solve":[77],"model":[80,96,126],"form":[85],"LMIs":[87],"inverse":[89],"constraints.":[90],"A":[91],"number":[92],"cases":[98,101],"are":[99,118],"special":[100],"approximation.":[105],"An":[106],"efficient":[107],"algorithm":[108],"derived":[110],"obtain":[112],"models.":[115],"Finally,":[116],"examples":[117],"employed":[119],"demonstrate":[121],"effectiveness":[123],"algorithm.":[128]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}