{"id":"https://openalex.org/W2047484155","doi":"https://doi.org/10.1080/00207720500148378","title":"Optimal controller and filter realizations using finite-precision, floating-point arithmetic","display_name":"Optimal controller and filter realizations using finite-precision, floating-point arithmetic","publication_year":2005,"publication_date":"2005-06-10","ids":{"openalex":"https://openalex.org/W2047484155","doi":"https://doi.org/10.1080/00207720500148378","mag":"2047484155"},"language":"en","primary_location":{"id":"doi:10.1080/00207720500148378","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500148378","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/A5080646444","display_name":"James F. Whidborne","orcid":"https://orcid.org/0000-0002-6310-8946"},"institutions":[{"id":"https://openalex.org/I82284825","display_name":"Cranfield University","ror":"https://ror.org/05cncd958","country_code":"GB","type":"education","lineage":["https://openalex.org/I82284825"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James F. Whidborne *","raw_affiliation_strings":["Cranfield University","Department of Aerospace Sciences , Cranfield University , Bedfordshire MK43 0AL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cranfield University","institution_ids":["https://openalex.org/I82284825"]},{"raw_affiliation_string":"Department of Aerospace Sciences , Cranfield University , Bedfordshire MK43 0AL, UK","institution_ids":["https://openalex.org/I82284825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076389260","display_name":"Dongbing Gu","orcid":"https://orcid.org/0000-0002-0986-2921"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Da-Wei Gu","raw_affiliation_strings":["University of Leicester","Department of Engineering, University of Leicester, Leicester LE1 7RH,#N#UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Leicester","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"Department of Engineering, University of Leicester, Leicester LE1 7RH,#N#UK","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021284542","display_name":"Jun Wu","orcid":"https://orcid.org/0000-0002-1388-7451"},"institutions":[{"id":"https://openalex.org/I4210146501","display_name":"ZheJiang Institute For Food and Drug Control","ror":"https://ror.org/045c2a851","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210146501"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Wu","raw_affiliation_strings":["Institute of Industrial Process Control, Zhejiang University","National Key Laboratory of Industrial Control Technology , Institute of Industrial Process Control, Zhejiang University , Hangzhou, 310027, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Industrial Process Control, Zhejiang University","institution_ids":["https://openalex.org/I4210146501"]},{"raw_affiliation_string":"National Key Laboratory of Industrial Control Technology , Institute of Industrial Process Control, Zhejiang University , Hangzhou, 310027, PR China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100320969","display_name":"Sheng Chen","orcid":"https://orcid.org/0000-0001-6882-600X"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sheng Chen","raw_affiliation_strings":["University of Southampton","Department of Electronics and Computer Science, University of Southampton, Highfield, Southampton, SO17 1BJ UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southampton","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Department of Electronics and Computer Science, University of Southampton, Highfield, Southampton, SO17 1BJ UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3326,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61506869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"7","first_page":"405","last_page":"413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9983999729156494,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9952999949455261,"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":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7150974869728088},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6520386934280396},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6156446933746338},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6132447123527527},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5675649642944336},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5644457340240479},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5377848744392395},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5185319185256958},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.47086870670318604},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.45023027062416077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25209587812423706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15630188584327698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14775896072387695},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09487101435661316}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7150974869728088},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6520386934280396},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6156446933746338},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6132447123527527},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5675649642944336},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5644457340240479},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5377848744392395},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5185319185256958},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.47086870670318604},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.45023027062416077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25209587812423706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15630188584327698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14775896072387695},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09487101435661316},{"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207720500148378","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500148378","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.soton.ac.uk:261022","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:dspace.lib.cranfield.ac.uk:1826/1234","is_oa":false,"landing_page_url":"http://dspace.lib.cranfield.ac.uk/handle/1826/1234","pdf_url":null,"source":{"id":"https://openalex.org/S4306401779","display_name":"CERES (Cranfield University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82284825","host_organization_name":"Cranfield University","host_organization_lineage":["https://openalex.org/I82284825"],"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"},{"id":"pmh:oai:lra.le.ac.uk:2381/12582","is_oa":false,"landing_page_url":"http://hdl.handle.net/2381/12582","pdf_url":null,"source":{"id":"https://openalex.org/S4306402365","display_name":"Leicester Research Archive (University of Leicester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153648349","host_organization_name":"University of Leicester","host_organization_lineage":["https://openalex.org/I153648349"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W73881578","https://openalex.org/W104992714","https://openalex.org/W124815405","https://openalex.org/W391578156","https://openalex.org/W1966287322","https://openalex.org/W1969895121","https://openalex.org/W1984169579","https://openalex.org/W1997106730","https://openalex.org/W2004335077","https://openalex.org/W2005661852","https://openalex.org/W2013068546","https://openalex.org/W2013517018","https://openalex.org/W2041828849","https://openalex.org/W2042234780","https://openalex.org/W2056858152","https://openalex.org/W2063966621","https://openalex.org/W2067361340","https://openalex.org/W2074705686","https://openalex.org/W2075291337","https://openalex.org/W2097186168","https://openalex.org/W2104444241","https://openalex.org/W2109428369","https://openalex.org/W2111252644","https://openalex.org/W2113640121","https://openalex.org/W2125201600","https://openalex.org/W2126516404","https://openalex.org/W2126886320","https://openalex.org/W2132543068","https://openalex.org/W2132720672","https://openalex.org/W2135362930","https://openalex.org/W2136778283","https://openalex.org/W2141766286","https://openalex.org/W2145019778","https://openalex.org/W2150849912","https://openalex.org/W2151543159","https://openalex.org/W2153453630","https://openalex.org/W2156676202","https://openalex.org/W2160674514","https://openalex.org/W2161013452","https://openalex.org/W2168394904","https://openalex.org/W2170119572","https://openalex.org/W2170531976","https://openalex.org/W2171143548","https://openalex.org/W2171966195","https://openalex.org/W2491498823","https://openalex.org/W2610857016","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W4318195686","https://openalex.org/W2769996735","https://openalex.org/W2975999359","https://openalex.org/W2909336477","https://openalex.org/W2015065719","https://openalex.org/W2072029011","https://openalex.org/W2029875985","https://openalex.org/W1996400230"],"abstract_inverted_index":{"The":[0,83,102],"problem":[1,84],"of":[2,6,64],"reducing":[3],"the":[4,41,60,66,73,76,86,94],"fragility":[5],"digital":[7],"controllers":[8],"and":[9,48,75],"filters":[10],"implemented":[11],"using":[12,99],"finite-precision,":[13],"floating-point":[14],"arithmetic":[15,19],"is":[16,22,44,89],"considered.":[17],"Floating-point":[18],"parameter":[20,25],"uncertainty":[21,26],"multiplicative,":[23],"unlike":[24],"resulting":[27],"from":[28],"fixed-point":[29],"arithmetic.":[30],"Based":[31],"on":[32,40],"first-order":[33],"eigenvalue":[34,42,50,78],"sensitivity":[35,51,79],"analysis,":[36],"an":[37],"upper":[38],"bound":[39],"perturbations":[43],"derived.":[45],"Consequently,":[46],"open-loop":[47,74,87],"closed-loop":[49,77,95],"measures":[52,56,80],"are":[53,57,81,97,104],"proposed.":[54],"These":[55],"dependent":[58],"upon":[59],"filter/controller":[61],"realization.":[62],"Problems":[63],"obtaining":[65],"optimal":[67],"realization":[68],"with":[69,106],"respect":[70],"to":[71],"both":[72],"posed.":[82],"for":[85,93],"case":[88,96],"completely":[90],"solved.":[91],"Solutions":[92],"obtained":[98],"non-linear":[100],"programming.":[101],"problems":[103],"illustrated":[105],"a":[107],"numerical":[108],"example.":[109]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2016-06-24T00:00:00"}