{"id":"https://openalex.org/W2029072431","doi":"https://doi.org/10.1109/cdc.2011.6160732","title":"Convergence of &amp;#x210B;&lt;inf&gt;&amp;#x221E;&lt;/inf&gt;-optimal actuator locations","display_name":"Convergence of &amp;#x210B;&lt;inf&gt;&amp;#x221E;&lt;/inf&gt;-optimal actuator locations","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2029072431","doi":"https://doi.org/10.1109/cdc.2011.6160732","mag":"2029072431"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European 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/A5102716800","display_name":"Dhanaraja Kasinathan","orcid":"https://orcid.org/0000-0003-0552-0016"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dhanaraja Kasinathan","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","Dept. of Applied Mathematics, University of Waterloo, ON N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Dept. of Applied Mathematics, University of Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049638450","display_name":"Kirsten Morris","orcid":"https://orcid.org/0000-0003-1311-9230"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kirsten Morris","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","Dept. of Applied Mathematics, University of Waterloo, ON N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Dept. of Applied Mathematics, University of Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102716800"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.08899901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"627","last_page":"632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/convergence","display_name":"Convergence (economics)","score":0.7963248491287231},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.7529257535934448},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5305348634719849},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5030738711357117},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47983381152153015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4723951518535614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3702322840690613},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3542194962501526},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33913564682006836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11803147196769714},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06619858741760254},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.053552210330963135}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7963248491287231},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7529257535934448},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5305348634719849},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5030738711357117},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47983381152153015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4723951518535614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3702322840690613},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3542194962501526},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33913564682006836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11803147196769714},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06619858741760254},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.053552210330963135},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6160732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1551345249","https://openalex.org/W1581560749","https://openalex.org/W1971100014","https://openalex.org/W2008103464","https://openalex.org/W2041018522","https://openalex.org/W2120922378","https://openalex.org/W2176024931","https://openalex.org/W2478640404","https://openalex.org/W2792786946"],"related_works":["https://openalex.org/W2099333796","https://openalex.org/W1999058329","https://openalex.org/W2011222276","https://openalex.org/W2080330449","https://openalex.org/W2007221537","https://openalex.org/W2490690736","https://openalex.org/W785766289","https://openalex.org/W2185997459","https://openalex.org/W2967125373","https://openalex.org/W2086351220"],"abstract_inverted_index":{"In":[0,33,56],"control":[1],"of":[2,20,75,95],"vibrations,":[3],"diffusion":[4],"and":[5,70,86],"many":[6],"other":[7],"problems":[8],"governed":[9],"by":[10],"partial":[11],"differential":[12],"equations,":[13],"there":[14],"is":[15,46,54],"freedom":[16],"in":[17,92],"the":[18,49,63,71,76,82,93],"choice":[19],"actuator":[21,24,52,65,73],"location.":[22,66,87],"The":[23,67,103],"location":[25,74],"should":[26,79],"be":[27],"chosen":[28],"to":[29,61,81],"optimize":[30],"performance":[31,42,69,85],"objectives.":[32],"this":[34,90],"paper,":[35],"we":[36],"consider":[37],"\u210b":[38,96],"<inf":[39,97],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,98],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[41,99],"with":[43,107],"state-feedback.":[44],"It":[45],"shown":[47],"that":[48],"corresponding":[50,72],"optimal":[51,64,68,84],"problem":[53],"well-posed.":[55],"practice,":[57],"approximations":[58],"are":[59,101,105],"used":[60],"determine":[62],"approximating":[77],"sequence":[78],"converge":[80],"exact":[83],"Conditions":[88],"for":[89],"convergence":[91],"case":[94],"-control":[100],"provided.":[102],"results":[104],"illustrated":[106],"an":[108],"example.":[109]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}