{"id":"https://openalex.org/W2105705004","doi":"https://doi.org/10.1109/cdc.2011.6160672","title":"Lie group projection operator approach: Optimal control on T SO(3)","display_name":"Lie group projection operator approach: Optimal control on T SO(3)","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2105705004","doi":"https://doi.org/10.1109/cdc.2011.6160672","mag":"2105705004"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160672","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160672","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/A5076959215","display_name":"Alessandro Saccon","orcid":"https://orcid.org/0000-0001-5318-1747"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Alessandro Saccon","raw_affiliation_strings":["LARSyS, IST, Technical University of Lisbon, Portugal","LARSyS, IST, Technical University of Lisbon (UTL), Portugal"],"affiliations":[{"raw_affiliation_string":"LARSyS, IST, Technical University of Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"LARSyS, IST, Technical University of Lisbon (UTL), Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069883451","display_name":"A. Pedro Aguiar","orcid":"https://orcid.org/0000-0001-7105-0505"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Pedro Aguiar","raw_affiliation_strings":["LARSyS, IST, Technical University of Lisbon, Portugal","LARSyS, IST, Technical University of Lisbon (UTL), Portugal"],"affiliations":[{"raw_affiliation_string":"LARSyS, IST, Technical University of Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"LARSyS, IST, Technical University of Lisbon (UTL), Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071811672","display_name":"John Hauser","orcid":"https://orcid.org/0000-0002-8129-7832"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Hauser","raw_affiliation_strings":["Department of Electrical, Computer and Energy Engineering, University of Colorado Boulder, USA","Department of Electrical, Computer and Energy Engineering, University of Colorado at Boulder, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer and Energy Engineering, University of Colorado Boulder, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Electrical, Computer and Energy Engineering, University of Colorado at Boulder, USA#TAB#","institution_ids":["https://openalex.org/I188538660"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076959215"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":null,"apc_paid":null,"fwci":3.1989,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90823125,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6973","last_page":"6978"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9957000017166138,"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":0.9957000017166138,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.968999981880188,"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"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9659000039100647,"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/lie-group","display_name":"Lie group","score":0.7079001069068909},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6448248624801636},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5972427129745483},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5943995118141174},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5891537070274353},{"id":"https://openalex.org/keywords/tangent-bundle","display_name":"Tangent bundle","score":0.5540689826011658},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4787263572216034},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.4767017066478729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4718102216720581},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4357498288154602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4274718761444092},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3385404050350189},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27728259563446045},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2743399739265442},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23541691899299622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17790555953979492},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.171891450881958},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09111666679382324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07806950807571411}],"concepts":[{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.7079001069068909},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6448248624801636},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5972427129745483},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5943995118141174},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5891537070274353},{"id":"https://openalex.org/C28903235","wikidata":"https://www.wikidata.org/wiki/Q746550","display_name":"Tangent bundle","level":3,"score":0.5540689826011658},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4787263572216034},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.4767017066478729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4718102216720581},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4357498288154602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4274718761444092},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3385404050350189},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27728259563446045},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2743399739265442},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23541691899299622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17790555953979492},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.171891450881958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09111666679382324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07806950807571411},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2011.6160672","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160672","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"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/bfdd5d7d-59d6-4d7e-b618-5387081cddf7","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/bfdd5d7d-59d6-4d7e-b618-5387081cddf7","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Saccon, A, Aguiar, A P & Hauser, J 2011, Lie group projection operator approach: optimal control on TSO(3). in Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida. Institute of Electrical and Electronics Engineers, Piscataway, pp. 6973-6978. https://doi.org/10.1109/CDC.2011.6160672","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:library.tue.nl:786681","is_oa":false,"landing_page_url":"http://repository.tue.nl/786681","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/bfdd5d7d-59d6-4d7e-b618-5387081cddf7","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/bfdd5d7d-59d6-4d7e-b618-5387081cddf7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida, 6973 - 6978","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1513334485","https://openalex.org/W1534416612","https://openalex.org/W1949248870","https://openalex.org/W1976058996","https://openalex.org/W1993039238","https://openalex.org/W1999484566","https://openalex.org/W2026892575","https://openalex.org/W2051603414","https://openalex.org/W2060239146","https://openalex.org/W2062388571","https://openalex.org/W2065668980","https://openalex.org/W2071355416","https://openalex.org/W2106805668","https://openalex.org/W2153888114","https://openalex.org/W2155700785","https://openalex.org/W2164259133","https://openalex.org/W2168912020","https://openalex.org/W2170485078","https://openalex.org/W3029645440","https://openalex.org/W4205424143","https://openalex.org/W4246954948","https://openalex.org/W4293775970","https://openalex.org/W4388397107","https://openalex.org/W6650404023","https://openalex.org/W6663340514","https://openalex.org/W6666150991","https://openalex.org/W6682620675"],"related_works":["https://openalex.org/W2056221643","https://openalex.org/W2384327295","https://openalex.org/W2004106894","https://openalex.org/W1519498103","https://openalex.org/W4251743830","https://openalex.org/W1523248378","https://openalex.org/W2571217708","https://openalex.org/W639316995","https://openalex.org/W2056783391","https://openalex.org/W4385473511"],"abstract_inverted_index":{"The":[0,40],"Lie":[1,17],"group":[2,38],"projection":[3],"operator":[4],"approach":[5,23],"is":[6,46],"an":[7],"iterative":[8],"scheme":[9],"for":[10,24],"solving":[11],"continuous-time":[12],"optimal":[13,25],"control":[14,26],"problems":[15,27],"on":[16,28],"groups.":[18],"This":[19],"work":[20],"details":[21],"the":[22,31,35],"T":[29],"SO(3),":[30],"tangent":[32],"bundle":[33],"of":[34,42],"special":[36],"orthogonal":[37],"SO(3).":[39],"dynamics":[41],"a":[43],"rigid":[44],"satellite":[45],"used":[47],"as":[48],"illustrative":[49],"example.":[50],"Numerical":[51],"simulations":[52],"are":[53],"presented":[54],"and":[55],"discussed.":[56]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
