{"id":"https://openalex.org/W1992350037","doi":"https://doi.org/10.1080/00207720903171753","title":"Hankel-norm model approximation for LPV systems with parameter-varying time delays","display_name":"Hankel-norm model approximation for LPV systems with parameter-varying time delays","publication_year":2010,"publication_date":"2010-09-06","ids":{"openalex":"https://openalex.org/W1992350037","doi":"https://doi.org/10.1080/00207720903171753","mag":"1992350037"},"language":"en","primary_location":{"id":"doi:10.1080/00207720903171753","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720903171753","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/A5108047839","display_name":"Ligang Wu","orcid":"https://orcid.org/0000-0001-8198-5267"},"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":true,"raw_author_name":"Ligang Wu","raw_affiliation_strings":["a   Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001,  P.R. China","Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a   Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001,  P.R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001, P.R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100739668","display_name":"Peng Shi","orcid":"https://orcid.org/0000-0001-8218-586X"},"institutions":[{"id":"https://openalex.org/I128993996","display_name":"University of South Wales","ror":"https://ror.org/02mzn7s88","country_code":"GB","type":"education","lineage":["https://openalex.org/I128993996"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peng Shi","raw_affiliation_strings":["b   School of Technology, Faculty of Advanced Technology , University of Glamorgan , Pontypridd, CF37 1DL,  UK","School of Technology, Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"b   School of Technology, Faculty of Advanced Technology , University of Glamorgan , Pontypridd, CF37 1DL,  UK","institution_ids":["https://openalex.org/I128993996"]},{"raw_affiliation_string":"School of Technology, Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK#TAB#","institution_ids":["https://openalex.org/I128993996"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053561890","display_name":"Xiaojie Su","orcid":"https://orcid.org/0000-0003-1802-0264"},"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":"Xiaojie Su","raw_affiliation_strings":["a   Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001,  P.R. China","Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a   Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001,  P.R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Space Control and Inertial Technology Research Centre , Harbin Institute of Technology , Harbin 150001, P.R. China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108047839"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":2.8883,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90934507,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"41","issue":"10","first_page":"1173","last_page":"1185"},"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":0.9980000257492065,"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":0.9980000257492065,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9975000023841858,"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/hankel-matrix","display_name":"Hankel matrix","score":0.7138804197311401},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6888955235481262},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.68311607837677},{"id":"https://openalex.org/keywords/minimisation","display_name":"Minimisation (clinical trials)","score":0.585527777671814},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4712638854980469},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4695226550102234},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4348805546760559},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4289242625236511},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.42727023363113403},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42574024200439453},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41465580463409424},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3844960927963257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23799753189086914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.229005366563797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15730291604995728},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07975462079048157}],"concepts":[{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.7138804197311401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6888955235481262},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.68311607837677},{"id":"https://openalex.org/C86941820","wikidata":"https://www.wikidata.org/wiki/Q6865391","display_name":"Minimisation (clinical trials)","level":2,"score":0.585527777671814},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4712638854980469},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4695226550102234},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4348805546760559},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4289242625236511},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.42727023363113403},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42574024200439453},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41465580463409424},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3844960927963257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23799753189086914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.229005366563797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15730291604995728},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07975462079048157},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207720903171753","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720903171753","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:eprints.vu.edu.au:7428","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/7428/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/83561","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/83561","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1080/00207720903171753","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320979","display_name":"University of South Australia","ror":"https://ror.org/01p93h210"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1044970108","https://openalex.org/W2004615955","https://openalex.org/W2007784570","https://openalex.org/W2010674938","https://openalex.org/W2012251160","https://openalex.org/W2021171806","https://openalex.org/W2025887310","https://openalex.org/W2032173185","https://openalex.org/W2036538773","https://openalex.org/W2039867272","https://openalex.org/W2057111796","https://openalex.org/W2066689921","https://openalex.org/W2069049088","https://openalex.org/W2080925234","https://openalex.org/W2093138696","https://openalex.org/W2100649435","https://openalex.org/W2104482782","https://openalex.org/W2130943521","https://openalex.org/W2150295061","https://openalex.org/W2160391281","https://openalex.org/W2165273705","https://openalex.org/W2185623518","https://openalex.org/W2537920568","https://openalex.org/W2546763824","https://openalex.org/W3179000900","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2091177168","https://openalex.org/W4220722047","https://openalex.org/W2792592237","https://openalex.org/W3126105603","https://openalex.org/W2325477568","https://openalex.org/W2121530989","https://openalex.org/W4390190144","https://openalex.org/W4200224151","https://openalex.org/W4366831400","https://openalex.org/W1970201668"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,24,52,72,106],"concerned":[3],"with":[4,13,59],"Hankel-norm":[5,40,61],"model":[6,82],"approximation":[7,83],"(HNMA)":[8],"for":[9,54,64],"linear":[10,91],"parameter-varying":[11,14],"systems":[12],"time":[15],"delays.":[16],"For":[17],"a":[18,39,48,60,85,103],"given":[19],"stable":[20],"system,":[21],"our":[22],"attention":[23],"focussed":[25],"on":[26],"the":[27,34,44,55,65,69,76,81,97,110,113],"construction":[28],"of":[29,112],"reduced-order":[30],"models,":[31],"which":[32,79],"approximate":[33],"original":[35],"system":[36],"well":[37],"in":[38],"sense.":[41],"By":[42],"applying":[43],"slack":[45],"matrix":[46,92],"approach,":[47,78],"delay-dependent":[49],"sufficient":[50],"condition":[51],"proposed":[53,114],"robustly":[56],"asymptotic":[57],"stability":[58],"error":[62,66],"performance":[63],"system.":[67],"Then,":[68],"HNMA":[70],"problem":[71,88],"solved":[73],"by":[74,95],"using":[75],"projection":[77],"casts":[80],"into":[84],"sequential":[86],"minimisation":[87],"subject":[89],"to":[90,108],"inequality":[93],"constraints":[94],"employing":[96],"cone":[98],"complementary":[99],"linearisation":[100],"algorithm.":[101],"Finally,":[102],"numerical":[104],"example":[105],"provided":[107],"illustrate":[109],"effectiveness":[111],"methods.":[115]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}