{"id":"https://openalex.org/W2129282432","doi":"https://doi.org/10.1109/tac.2005.849223","title":"A controllability counterexample","display_name":"A controllability counterexample","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2129282432","doi":"https://doi.org/10.1109/tac.2005.849223","mag":"2129282432"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2005.849223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2005.849223","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drum.lib.umd.edu/bitstreams/c362319a-ce0f-4494-ace8-418958ce74cd/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005946535","display_name":"David L. Elliott","orcid":"https://orcid.org/0000-0002-9540-4424"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D.L. Elliott","raw_affiliation_strings":["Institute of Systems Research, University of Maryland, College Park, MD, USA","Institute for Systems Research, University of Maryland, College Park, MD USA"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Institute for Systems Research, University of Maryland, College Park, MD USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005946535"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.19310158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"50","issue":"6","first_page":"840","last_page":"841"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.95356285572052},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9008086919784546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6018189191818237},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5312034487724304},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5292773842811584},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"Controllability Gramian","score":0.47018304467201233},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4481462836265564},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4221170246601105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4205780029296875},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4165571928024292},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32764941453933716},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3051808178424835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2898767590522766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1146608293056488}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.95356285572052},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9008086919784546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6018189191818237},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5312034487724304},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5292773842811584},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.47018304467201233},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4481462836265564},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4221170246601105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4205780029296875},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4165571928024292},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32764941453933716},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3051808178424835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2898767590522766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1146608293056488},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2005.849223","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2005.849223","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:drum.lib.umd.edu:1903/6464","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/6464","pdf_url":"https://drum.lib.umd.edu/bitstreams/c362319a-ce0f-4494-ace8-418958ce74cd/download","source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"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":"Technical Report"}],"best_oa_location":{"id":"pmh:oai:drum.lib.umd.edu:1903/6464","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/6464","pdf_url":"https://drum.lib.umd.edu/bitstreams/c362319a-ce0f-4494-ace8-418958ce74cd/download","source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"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":"Technical Report"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129282432.pdf","grobid_xml":"https://content.openalex.org/works/W2129282432.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1982955378"],"related_works":["https://openalex.org/W2526478698","https://openalex.org/W4294558370","https://openalex.org/W4210360605","https://openalex.org/W3209184047","https://openalex.org/W2912925551","https://openalex.org/W3121904599","https://openalex.org/W1994014931","https://openalex.org/W2577309101","https://openalex.org/W4200397507","https://openalex.org/W1890733421"],"abstract_inverted_index":{"Simulation":[0],"by":[1],"time":[2],"discretizations":[3,23],"can":[4],"be":[5],"qualitatively":[6],"misleading;":[7],"as":[8],"counterexamples":[9],"a":[10],"class":[11],"of":[12],"noncontrollable":[13],"single-input":[14],"two-dimensional":[15],"bilinear":[16],"control":[17],"systems":[18],"is":[19],"presented":[20],"whose":[21],"Euler":[22],"are":[24],"controllable":[25],"on":[26],"the":[27],"punctured":[28],"plane.":[29]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
