{"id":"https://openalex.org/W2161239939","doi":"https://doi.org/10.1109/cdc.2009.5400506","title":"Algorithms for Transformation into the Extended Jordan Controllable and observable forms","display_name":"Algorithms for Transformation into the Extended Jordan Controllable and observable forms","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2161239939","doi":"https://doi.org/10.1109/cdc.2009.5400506","mag":"2161239939"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400506","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-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/A5012697287","display_name":"Krishna Busawon","orcid":"https://orcid.org/0000-0002-9058-0824"},"institutions":[{"id":"https://openalex.org/I32394136","display_name":"Northumbria University","ror":"https://ror.org/049e6bc10","country_code":"GB","type":"education","lineage":["https://openalex.org/I32394136"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Krishna Busawon","raw_affiliation_strings":["School of Computing, Engineering and Information Science, Northumbria University, Newcastle-upon-Tyne, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Engineering and Information Science, Northumbria University, Newcastle-upon-Tyne, UK","institution_ids":["https://openalex.org/I32394136"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067706086","display_name":"Mohamed Djema\u00ef","orcid":"https://orcid.org/0000-0002-5375-9470"},"institutions":[{"id":"https://openalex.org/I59807433","display_name":"Universit\u00e9 Lille Nord de France","ror":"https://ror.org/03btvgn05","country_code":"FR","type":"education","lineage":["https://openalex.org/I59807433"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Djemai","raw_affiliation_strings":["Universite Lille-Nord de France, Lille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Lille-Nord de France, Lille, France","institution_ids":["https://openalex.org/I59807433"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.13272217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1764","last_page":"1769"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9955000281333923,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9789999723434448,"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/observable","display_name":"Observable","score":0.8505856990814209},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.7254034280776978},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5965770483016968},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5554677248001099},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5272948741912842},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5066578984260559},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5019323825836182},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41845065355300903},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3888315260410309},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14901509881019592},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.060334086418151855}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8505856990814209},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7254034280776978},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5965770483016968},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5554677248001099},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5272948741912842},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5066578984260559},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5019323825836182},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41845065355300903},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3888315260410309},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14901509881019592},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060334086418151855},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5400506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400506","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:nrl.northumbria.ac.uk:10160","is_oa":false,"landing_page_url":"http://nrl.northumbria.ac.uk/id/eprint/10160/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401884","display_name":"Northumbria Research Link (Northumbria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32394136","host_organization_name":"Northumbria University","host_organization_lineage":["https://openalex.org/I32394136"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W94433250","https://openalex.org/W391578156","https://openalex.org/W1535905504","https://openalex.org/W2097731554","https://openalex.org/W2101583135","https://openalex.org/W2128978199","https://openalex.org/W2130314651","https://openalex.org/W2610857016","https://openalex.org/W6603810838","https://openalex.org/W6631877953"],"related_works":["https://openalex.org/W1994680671","https://openalex.org/W2000283393","https://openalex.org/W2002320543","https://openalex.org/W2061947244","https://openalex.org/W2369244966","https://openalex.org/W2386066260","https://openalex.org/W2599561764","https://openalex.org/W2003418697","https://openalex.org/W2562576840","https://openalex.org/W2982892226"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,47],"first":[4],"propose":[5],"an":[6,35,49,55],"algorithm":[7,50],"that":[8,51],"permits":[9,52],"to":[10,15,53,80],"derive":[11,48],"a":[12,17],"transformation":[13],"allowing":[14],"transform":[16,54],"controllable":[18],"pair":[19,57],"into":[20,58],"the":[21,38,41,59,70,82,85],"Extended":[22,60],"Jordan":[23,42,61],"Controllable":[24],"Canonical":[25,63],"(EJCC)":[26],"form.":[27,43,65],"The":[28],"proposed":[29,71],"EJCC":[30],"form":[31],"is,":[32],"in":[33],"fact,":[34],"extension":[36],"of":[37,69,84],"Brunovsky":[39],"and":[40,75],"Next,":[44],"by":[45],"duality":[46],"observable":[56],"Observable":[62],"(EJOC)":[64],"A":[66],"detailed":[67],"justification":[68],"algorithms":[72],"is":[73],"provided":[74],"some":[76],"examples":[77],"are":[78],"given":[79],"show":[81],"validity":[83],"algorithms.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
