{"id":"https://openalex.org/W2009287791","doi":"https://doi.org/10.1137/050643416","title":"Performance Recovery in Digital Implementation of Analogue Systems","display_name":"Performance Recovery in Digital Implementation of Analogue Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2009287791","doi":"https://doi.org/10.1137/050643416","mag":"2009287791"},"language":"en","primary_location":{"id":"doi:10.1137/050643416","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050643416","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and 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/A5100693449","display_name":"Guofeng Zhang","orcid":"https://orcid.org/0000-0001-5854-5247"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guofeng Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037989105","display_name":"Tongwen Chen","orcid":"https://orcid.org/0000-0002-1699-7947"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tongwen Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100441907","display_name":"Xiang Chen","orcid":"https://orcid.org/0000-0002-0557-0905"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiang Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2326,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95037663,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"45","issue":"6","first_page":"2207","last_page":"2223"},"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":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T11236","display_name":"Control Systems and Identification","score":0.9995999932289124,"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/T11081","display_name":"Advanced Control Systems Design","score":0.996999979019165,"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/observability","display_name":"Observability","score":0.8088467121124268},{"id":"https://openalex.org/keywords/bilinear-transform","display_name":"Bilinear transform","score":0.7914690375328064},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.7757588028907776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7415164709091187},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5370871424674988},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4628746807575226},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4268966317176819},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35924232006073},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34411513805389404},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.19791138172149658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1473507583141327},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10634827613830566},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.07714065909385681}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8088467121124268},{"id":"https://openalex.org/C109786386","wikidata":"https://www.wikidata.org/wiki/Q861804","display_name":"Bilinear transform","level":4,"score":0.7914690375328064},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7757588028907776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7415164709091187},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5370871424674988},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4628746807575226},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4268966317176819},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35924232006073},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34411513805389404},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.19791138172149658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1473507583141327},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10634827613830566},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.07714065909385681},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/050643416","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050643416","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W113313514","https://openalex.org/W607933207","https://openalex.org/W628535066","https://openalex.org/W1511275238","https://openalex.org/W1588998206","https://openalex.org/W1593028398","https://openalex.org/W1604822211","https://openalex.org/W1868258070","https://openalex.org/W1986380741","https://openalex.org/W1995772332","https://openalex.org/W2008032193","https://openalex.org/W2009906306","https://openalex.org/W2010170319","https://openalex.org/W2014382681","https://openalex.org/W2027623916","https://openalex.org/W2056299407","https://openalex.org/W2068581206","https://openalex.org/W2075964197","https://openalex.org/W2083410771","https://openalex.org/W2084500162","https://openalex.org/W2095216716","https://openalex.org/W2095991389","https://openalex.org/W2096160762","https://openalex.org/W2096582870","https://openalex.org/W2096658458","https://openalex.org/W2098553935","https://openalex.org/W2099681040","https://openalex.org/W2100094952","https://openalex.org/W2120765297","https://openalex.org/W2140092905","https://openalex.org/W2155024125","https://openalex.org/W2156216606","https://openalex.org/W2156559122","https://openalex.org/W2156971172","https://openalex.org/W2157176945","https://openalex.org/W2157945087","https://openalex.org/W2165436804","https://openalex.org/W2166965702","https://openalex.org/W2168752417","https://openalex.org/W2170096173","https://openalex.org/W2180149114","https://openalex.org/W2346958174","https://openalex.org/W2491188924","https://openalex.org/W2986699428"],"related_works":["https://openalex.org/W1986570998","https://openalex.org/W2332386680","https://openalex.org/W1983142522","https://openalex.org/W2782529250","https://openalex.org/W2037921533","https://openalex.org/W2508171592","https://openalex.org/W2801563517","https://openalex.org/W2130864543","https://openalex.org/W2068126039","https://openalex.org/W2041749520"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,12,55,67,71,102,144,147,151,165],"generalized":[4],"bilinear":[5],"transformation":[6],"(GBT)":[7],"is":[8,26,39,52,81,156],"proposed.":[9],"Compared":[10],"with":[11],"traditional":[13],"bilinear,":[14],"zero\u2010order":[15],"hold":[16,20],"(ZOH)":[17],"and":[18,43,88,108,124,127,141,164],"first\u2010order":[19],"transformations,":[21],"one":[22],"advantage":[23],"of":[24,57,66,85,150],"GBT":[25,63,163],"that":[27,41,54,65],"it":[28,51],"may":[29],"convert":[30],"unstable":[31],"poles":[32,36],"(zeros)":[33],"to":[34,76,139,158],"stable":[35],"(zeros).":[37],"It":[38],"proved":[40],"controllability":[42],"observability":[44],"are":[45],"invariant":[46],"under":[47],"GBT.":[48],"After":[49],"that,":[50],"shown":[53],"performance":[56],"a":[58],"sampled\u2010data":[59],"system":[60,69],"obtained":[61],"via":[62,162],"approaches":[64],"analogue":[68],"as":[70],"underlying":[72],"sampling":[73],"period":[74],"goes":[75],"zero.":[77],"Performance":[78],"studied":[79],"here":[80],"characterized":[82],"in":[83,105],"terms":[84],"internal":[86],"stability":[87],"$\\ell_{p}$":[89],"induced":[90],"norms":[91],"for":[92],"all":[93],"$1":[94],"\\leq":[95,97],"p":[96],"\\infty$.":[98],"This":[99],"results":[100,104],"extends":[101],"main":[103],"[G.":[106,125],"Zhang":[107,126],"T.":[109,128],"Chen,":[110,129],"Dyn.":[111],"Contin.":[112],"Discrete":[113],"Impuls.":[114],"Syst.":[115],"Ser.":[116],"B":[117],"Appl.":[118],"Algorithms,":[119],"Suppl.,":[120],"2003,":[121],"pp.":[122,135],"28\u201333]":[123],"Automatica":[130],"J.":[131],"IFAC,":[132],"40":[133],"(2004),":[134],"327\u2013330]":[136],"from":[137],"SISO":[138],"MIMO":[140],"also":[142],"removes":[143],"limitation":[145],"on":[146],"\u201cA\u201d":[148],"matrix":[149],"system.":[152],"Finally,":[153],"an":[154],"example":[155],"employed":[157],"compare":[159],"digital":[160],"implementations":[161],"ZOH":[166],"transformation.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
