{"id":"https://openalex.org/W1579015239","doi":"https://doi.org/10.1109/cdc.2002.1185104","title":"Equivalence and reduction of 2-D systems","display_name":"Equivalence and reduction of 2-D systems","publication_year":2004,"publication_date":"2004-01-23","ids":{"openalex":"https://openalex.org/W1579015239","doi":"https://doi.org/10.1109/cdc.2002.1185104","mag":"1579015239"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1185104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1185104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5057074598","display_name":"A.C. Pugh","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A.C. Pugh","raw_affiliation_strings":["Loughborough University, Leics, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Loughborough University, Leics, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068444370","display_name":"S.J. McInerney","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S.J. McInerney","raw_affiliation_strings":["Loughborough University, Leics, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Loughborough University, Leics, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063804069","display_name":"G.E. Hayton","orcid":null},"institutions":[{"id":"https://openalex.org/I84027002","display_name":"Leeds Beckett University","ror":"https://ror.org/02xsh5r57","country_code":"GB","type":"education","lineage":["https://openalex.org/I84027002"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G.E. Hayton","raw_affiliation_strings":["FIES Leeds Metropolitan University, Leeds, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FIES Leeds Metropolitan University, Leeds, UK","institution_ids":["https://openalex.org/I84027002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9773,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68884908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"4611","last_page":"4612"},"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":0.9986000061035156,"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":0.9986000061035156,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13257","display_name":"Advanced Control and Stabilization in Aerospace Systems","score":0.9764000177383423,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.742840588092804},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.631935715675354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48718780279159546},{"id":"https://openalex.org/keywords/matrix-equivalence","display_name":"Matrix equivalence","score":0.43754255771636963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.390250027179718},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3748365044593811},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36712580919265747},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34961429238319397},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11950349807739258},{"id":"https://openalex.org/keywords/matrix-analysis","display_name":"Matrix analysis","score":0.11085742712020874},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10788485407829285},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.068747878074646}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.742840588092804},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.631935715675354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48718780279159546},{"id":"https://openalex.org/C34459055","wikidata":"https://www.wikidata.org/wiki/Q256151","display_name":"Matrix equivalence","level":4,"score":0.43754255771636963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.390250027179718},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3748365044593811},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36712580919265747},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34961429238319397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11950349807739258},{"id":"https://openalex.org/C149488123","wikidata":"https://www.wikidata.org/wiki/Q17098730","display_name":"Matrix analysis","level":3,"score":0.11085742712020874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10788485407829285},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.068747878074646},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1185104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1185104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1967350723","https://openalex.org/W2000301461","https://openalex.org/W2015847333","https://openalex.org/W2044087234","https://openalex.org/W2078952709","https://openalex.org/W2085849252","https://openalex.org/W2090623183","https://openalex.org/W2104247012","https://openalex.org/W2113072323","https://openalex.org/W2135635368","https://openalex.org/W2157192413","https://openalex.org/W2165391002","https://openalex.org/W2798813531"],"related_works":["https://openalex.org/W2167570714","https://openalex.org/W2175904276","https://openalex.org/W2110759274","https://openalex.org/W3015514945","https://openalex.org/W2362240646","https://openalex.org/W146502352","https://openalex.org/W2347919354","https://openalex.org/W4281797944","https://openalex.org/W2374317779","https://openalex.org/W2017799155"],"abstract_inverted_index":{"Three":[0],"definitions":[1],"of":[2],"equivalence":[3,17],"for":[4],"2-D":[5],"systems":[6],"are":[7],"considered":[8],"and":[9],"connected.":[10],"The":[11],"computational":[12],"definition":[13],"has":[14],"the":[15],"smaller":[16],"classes,":[18],"which":[19],"may":[20],"not":[21],"be":[22],"sufficiently":[23],"wide":[24],"to":[25,32],"contain":[26],"reduced":[27],"system":[28],"matrix":[29],"forms.":[30],"Reduction":[31],"a":[33],"first":[34],"order":[35],"form":[36],"is":[37],"still":[38],"possible.":[39]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}