{"id":"https://openalex.org/W2030249883","doi":"https://doi.org/10.1109/cdc.2012.6426388","title":"Motion planning for the 2D Stokes equations","display_name":"Motion planning for the 2D Stokes equations","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2030249883","doi":"https://doi.org/10.1109/cdc.2012.6426388","mag":"2030249883"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426388","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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/A5002069913","display_name":"Thomas Meurer","orcid":"https://orcid.org/0000-0002-9175-2157"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Thomas Meurer","raw_affiliation_strings":["Automation and Control Institute (ACIN), Vienna University of Technology, Vienna, Austria","Automation and Control Institute (ACIN), Vienna University of Technology, Gusshausstrasse 27-29 / E376, 1040, Austria"],"affiliations":[{"raw_affiliation_string":"Automation and Control Institute (ACIN), Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Automation and Control Institute (ACIN), Vienna University of Technology, Gusshausstrasse 27-29 / E376, 1040, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070991017","display_name":"Mourad Saidani","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Mourad Saidani","raw_affiliation_strings":["Automation and Control Institute (ACIN), Vienna University of Technology, Vienna, Austria","Automation and Control Institute (ACIN), Vienna University of Technology, Gusshausstrasse 27-29 / E376, 1040, Austria"],"affiliations":[{"raw_affiliation_string":"Automation and Control Institute (ACIN), Vienna University of Technology, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Automation and Control Institute (ACIN), Vienna University of Technology, Gusshausstrasse 27-29 / E376, 1040, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002069913"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10410573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1572","last_page":"1577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/flatness","display_name":"Flatness (cosmology)","score":0.8853884935379028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5417943000793457},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5124750733375549},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5078230500221252},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.4555160105228424},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4406892657279968},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3396417498588562},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3295716643333435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2751084268093109},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.19987764954566956},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19620579481124878},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.14300033450126648}],"concepts":[{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.8853884935379028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5417943000793457},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5124750733375549},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5078230500221252},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4555160105228424},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4406892657279968},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3396417498588562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3295716643333435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2751084268093109},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.19987764954566956},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19620579481124878},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14300033450126648},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426388","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8399999737739563,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W109546027","https://openalex.org/W594947735","https://openalex.org/W1966158133","https://openalex.org/W1966686724","https://openalex.org/W1970913900","https://openalex.org/W1983972206","https://openalex.org/W2010169311","https://openalex.org/W2027135007","https://openalex.org/W2030634628","https://openalex.org/W2038724307","https://openalex.org/W2050255334","https://openalex.org/W2057576183","https://openalex.org/W2064085278","https://openalex.org/W2096358753","https://openalex.org/W2120491585","https://openalex.org/W2121205584","https://openalex.org/W2134763426","https://openalex.org/W2135669655","https://openalex.org/W2477357932","https://openalex.org/W2783350696","https://openalex.org/W4237673503","https://openalex.org/W4250478649","https://openalex.org/W4295102232","https://openalex.org/W4300844655"],"related_works":["https://openalex.org/W2789295429","https://openalex.org/W2066314436","https://openalex.org/W2733767282","https://openalex.org/W2510927817","https://openalex.org/W2540573954","https://openalex.org/W2743501974","https://openalex.org/W2588834286","https://openalex.org/W2508288055","https://openalex.org/W2003275872","https://openalex.org/W2356352686"],"abstract_inverted_index":{"A":[0],"flatness-based":[1],"design":[2],"systematics":[3],"is":[4,52],"presented":[5],"to":[6,45],"realize":[7],"desired":[8],"velocity":[9],"profiles":[10],"for":[11],"the":[12,34,38,47],"Stokes":[13],"equations":[14],"in":[15,54],"a":[16,55],"2D":[17],"domain":[18,48],"and":[19,28,32],"spatially":[20],"distributed":[21],"interior":[22],"control.":[23],"The":[24],"approach":[25],"combines":[26],"early":[27],"late":[29],"lumping":[30],"techniques":[31,42],"utilizes":[33],"spectral":[35],"properties":[36],"of":[37,49],"system":[39],"operator.":[40],"Re-summation":[41],"are":[43],"integrated":[44],"enhance":[46],"applicability":[50],"as":[51],"illustrated":[53],"simulation":[56],"scenario.":[57]},"counts_by_year":[{"year":2020,"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"}