{"id":"https://openalex.org/W1830063896","doi":"https://doi.org/10.1023/a:1016543116069","title":"A Gradient Flow Approach to Optimal Model Reduction of Discrete-Time Periodic Systems","display_name":"A Gradient Flow Approach to Optimal Model Reduction of Discrete-Time Periodic Systems","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W1830063896","doi":"https://doi.org/10.1023/a:1016543116069","mag":"1830063896"},"language":"en","primary_location":{"id":"doi:10.1023/a:1016543116069","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016543116069","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","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/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798","School of Electrical and Electronic Engineering, Nanyang Technological University Singapore, 639798 (e-mail: elhxie@ntu.edu.sg)"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University Singapore, 639798 (e-mail: elhxie@ntu.edu.sg)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064960678","display_name":"Cishen Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cishen Zhang","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Vic, 3052, Australia","Department of Electrical and Electronic Engineering, The  University of Melbourne, Parkville, Vic. 3052, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Vic, 3052, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The  University of Melbourne, Parkville, Vic. 3052, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085986722","display_name":"Le\u2010Wei Li","orcid":"https://orcid.org/0000-0002-0551-0259"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Luowen Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798","School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798,#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798,#TAB#","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100365448"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.08838341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"23","issue":"3-4","first_page":"373","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8348516225814819},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5983898639678955},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5784079432487488},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.474581241607666},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44155073165893555},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4415387213230133},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4414317309856415},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4241408407688141},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3838368356227875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.090451180934906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8348516225814819},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5983898639678955},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5784079432487488},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.474581241607666},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44155073165893555},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4415387213230133},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4414317309856415},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4241408407688141},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3838368356227875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.090451180934906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1016543116069","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016543116069","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:a20bf98b-dcbb-40c9-9087-8f6a31d48987/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/364299","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization, Vol. 23, no. 3 (Aug 2002), pp. 373-399","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W1511275238","https://openalex.org/W1984714339","https://openalex.org/W1988347651","https://openalex.org/W1991485997","https://openalex.org/W2013692802","https://openalex.org/W2015841828","https://openalex.org/W2025883191","https://openalex.org/W2028050126","https://openalex.org/W2055722240","https://openalex.org/W2064404969","https://openalex.org/W2064733273","https://openalex.org/W2066877201","https://openalex.org/W2067070250","https://openalex.org/W2076742685","https://openalex.org/W2079665343","https://openalex.org/W2080925234","https://openalex.org/W2085724310","https://openalex.org/W2105587146","https://openalex.org/W2115858779","https://openalex.org/W2116319624","https://openalex.org/W2124206532","https://openalex.org/W2154670154","https://openalex.org/W2159122878","https://openalex.org/W2162389555","https://openalex.org/W2165540853","https://openalex.org/W2170863263","https://openalex.org/W2172372617","https://openalex.org/W2519437060","https://openalex.org/W2728263058"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W4386631510","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W1990421243","https://openalex.org/W2105658174","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
