{"id":"https://openalex.org/W2564415335","doi":"https://doi.org/10.1080/00207721.2016.1269220","title":"<i>H</i><sub>\u221e</sub> model reduction for negative imaginary systems","display_name":"<i>H</i><sub>\u221e</sub> model reduction for negative imaginary systems","publication_year":2016,"publication_date":"2016-12-27","ids":{"openalex":"https://openalex.org/W2564415335","doi":"https://doi.org/10.1080/00207721.2016.1269220","mag":"2564415335"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2016.1269220","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1269220","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/A5020777202","display_name":"Lanlin Yu","orcid":"https://orcid.org/0000-0002-0664-2464"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lanlin Yu","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021953090","display_name":"Junlin Xiong","orcid":"https://orcid.org/0000-0002-0128-4960"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junlin Xiong","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021953090"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":1.2891,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8185242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"48","issue":"7","first_page":"1515","last_page":"1521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T11525","display_name":"Piezoelectric Actuators and Control","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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/reduction","display_name":"Reduction (mathematics)","score":0.6789219975471497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6753162145614624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5378220677375793},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5158235430717468},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4991636276245117},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.49221673607826233},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.47315487265586853},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4588734209537506},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.38389548659324646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2282937467098236},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.10846856236457825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06562209129333496}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6789219975471497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6753162145614624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5378220677375793},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5158235430717468},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4991636276245117},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.49221673607826233},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.47315487265586853},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4588734209537506},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.38389548659324646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2282937467098236},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10846856236457825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06562209129333496},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2016.1269220","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1269220","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:RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1515-1521","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2016.1269220","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6499999761581421,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G4419578795","display_name":"\u8d1f\u865a\u8f93\u51fa\u53cd\u9988\u63a7\u5236\u7406\u8bba\u4e0e\u8d1f\u865aH\u221e\u63a7\u5236\u7406\u8bba\u7814\u7a76","funder_award_id":"61374026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":31,"referenced_works":["https://openalex.org/W1675345037","https://openalex.org/W1954242278","https://openalex.org/W1963945073","https://openalex.org/W1970786494","https://openalex.org/W1980722003","https://openalex.org/W1984714339","https://openalex.org/W1991395500","https://openalex.org/W2003772019","https://openalex.org/W2016909143","https://openalex.org/W2021883878","https://openalex.org/W2024303936","https://openalex.org/W2027102743","https://openalex.org/W2039867272","https://openalex.org/W2064733273","https://openalex.org/W2083128250","https://openalex.org/W2088652621","https://openalex.org/W2089410483","https://openalex.org/W2094648665","https://openalex.org/W2098043250","https://openalex.org/W2099961994","https://openalex.org/W2100434865","https://openalex.org/W2121057923","https://openalex.org/W2142801418","https://openalex.org/W2165213426","https://openalex.org/W2206534721","https://openalex.org/W2273805528","https://openalex.org/W2326158180","https://openalex.org/W2338514232","https://openalex.org/W2412813319","https://openalex.org/W2536620281","https://openalex.org/W4206318793"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W2105658174","https://openalex.org/W1990421243","https://openalex.org/W776139355"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,21,27,82],"concerned":[3],"with":[4],"the":[5,52,68,74,86,89],"H\u221e":[6,38,58,75],"model":[7,91],"reduction":[8,92],"for":[9,51],"negative":[10],"imaginary":[11],"(NI)":[12],"systems.":[13],"For":[14],"a":[15,30,36,79],"given":[16],"linear":[17],"time-invariant":[18],"system":[19,34],"that":[20],"stable":[22,31],"and":[23,54,71],"NI,":[24],"our":[25],"goal":[26],"to":[28,66,72,84],"find":[29],"reduced-order":[32,59],"NI":[33,60],"satisfying":[35],"pre-specified":[37],"approximation":[39,76],"error":[40],"bound.":[41],"Sufficient":[42],"conditions":[43],"in":[44],"terms":[45],"of":[46,56,88],"matrix":[47,69],"inequalities":[48,70],"are":[49,64],"derived":[50],"existence":[53],"construction":[55],"an":[57],"system.":[61],"Iterative":[62],"algorithms":[63],"provided":[65],"solve":[67],"minimise":[73],"error.":[77],"Finally,":[78],"numerical":[80],"example":[81],"used":[83],"demonstrate":[85],"effectiveness":[87],"proposed":[90],"method.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-01-06T00:00:00"}
