{"id":"https://openalex.org/W2106805668","doi":"https://doi.org/10.1109/cdc.2010.5717195","title":"Optimal control on non-compact lie groups: A projection operator approach","display_name":"Optimal control on non-compact lie groups: A projection operator approach","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2106805668","doi":"https://doi.org/10.1109/cdc.2010.5717195","mag":"2106805668"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717195","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th 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/A5076959215","display_name":"Alessandro Saccon","orcid":"https://orcid.org/0000-0001-5318-1747"},"institutions":[{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Alessandro Saccon","raw_affiliation_strings":["Institute of Systems and Robotics (ISR), Instituto Superior T\u00e9cnico, Lisboa, Portugal","Institute for Systems and Robotics (ISR), Instituto Superior T\u00e9cnico (IST), Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Institute of Systems and Robotics (ISR), Instituto Superior T\u00e9cnico, Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"Institute for Systems and Robotics (ISR), Instituto Superior T\u00e9cnico (IST), Lisboa, Portugal","institution_ids":["https://openalex.org/I4210166615","https://openalex.org/I4387152517"]}]},{"author_position":"middle","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 and Computer Engineering, University of Colorado, Boulder, USA","Department of Electrical and Computer Engineering, University of Colorado, Boulder, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Colorado, Boulder, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Colorado, Boulder, UK","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069883451","display_name":"A. Pedro Aguiar","orcid":"https://orcid.org/0000-0001-7105-0505"},"institutions":[{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Pedro Aguiar","raw_affiliation_strings":["Institute of Systems and Robotics (ISR), Instituto Superior T\u00e9cnico, Lisboa, Portugal","Institute for Systems and Robotics (ISR), Instituto Superior T\u00e9cnico (IST), Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Institute of Systems and Robotics (ISR), Instituto Superior T\u00e9cnico, Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"Institute for Systems and Robotics (ISR), Instituto Superior T\u00e9cnico (IST), Lisboa, Portugal","institution_ids":["https://openalex.org/I4210166615","https://openalex.org/I4387152517"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076959215"],"corresponding_institution_ids":["https://openalex.org/I4210166615","https://openalex.org/I4387152517"],"apc_list":null,"apc_paid":null,"fwci":2.8165,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90588235,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"7111","last_page":"7116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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":0.9995999932289124,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9926999807357788,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9857000112533569,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.7598077058792114},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6069639921188354},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5315423011779785},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4860118329524994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45335426926612854},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4505671262741089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4179561734199524},{"id":"https://openalex.org/keywords/simple-lie-group","display_name":"Simple Lie group","score":0.4138088524341583},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33051151037216187},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32718294858932495},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28408193588256836},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17959657311439514},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17360278964042664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14433908462524414},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06161734461784363}],"concepts":[{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.7598077058792114},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6069639921188354},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5315423011779785},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4860118329524994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45335426926612854},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4505671262741089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4179561734199524},{"id":"https://openalex.org/C22365015","wikidata":"https://www.wikidata.org/wiki/Q1003162","display_name":"Simple Lie group","level":3,"score":0.4138088524341583},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33051151037216187},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32718294858932495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28408193588256836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17959657311439514},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17360278964042664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14433908462524414},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06161734461784363},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2010.5717195","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/78ee0ead-14f0-41bb-bf2d-f54bda1e31e3","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/78ee0ead-14f0-41bb-bf2d-f54bda1e31e3","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, Hauser, J & Aguiar, A P 2010, Optimal control on non-compact Lie groups : a projection operator approach. in Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 15-17 December 2010, Atlanta, Georgia. Institute of Electrical and Electronics Engineers, Piscataway, pp. 7111-7116. https://doi.org/10.1109/CDC.2010.5717195","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:library.tue.nl:786684","is_oa":false,"landing_page_url":"http://repository.tue.nl/786684","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/78ee0ead-14f0-41bb-bf2d-f54bda1e31e3","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/78ee0ead-14f0-41bb-bf2d-f54bda1e31e3","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 the 49th IEEE Conference on Decision and Control (CDC), 15-17 December 2010, Atlanta, Georgia, 7111 - 7116","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W633763766","https://openalex.org/W648102339","https://openalex.org/W1513334485","https://openalex.org/W1804110266","https://openalex.org/W1949248870","https://openalex.org/W1976058996","https://openalex.org/W1999484566","https://openalex.org/W2026892575","https://openalex.org/W2061356302","https://openalex.org/W2071355416","https://openalex.org/W2119135605","https://openalex.org/W2153888114","https://openalex.org/W2320438804","https://openalex.org/W4205293427","https://openalex.org/W4205424143","https://openalex.org/W4246954948","https://openalex.org/W6630681488","https://openalex.org/W6650404023","https://openalex.org/W6657297222","https://openalex.org/W6682620675"],"related_works":["https://openalex.org/W4300900232","https://openalex.org/W2316272042","https://openalex.org/W1982016221","https://openalex.org/W302492989","https://openalex.org/W2502170138","https://openalex.org/W2218973506","https://openalex.org/W2324481426","https://openalex.org/W2801835169","https://openalex.org/W2963283328","https://openalex.org/W2132327190"],"abstract_inverted_index":{"Many":[0],"nonlinear":[1],"systems":[2,49],"of":[3],"practical":[4],"interest":[5],"evolve":[6],"on":[7,11,51],"Lie":[8,16,53],"groups":[9],"or":[10],"manifolds":[12],"acted":[13],"upon":[14],"by":[15],"groups.":[17,54],"Examples":[18],"range":[19],"from":[20],"aircraft":[21],"and":[22,44],"underwater":[23],"vehicles":[24],"to":[25],"quantum":[26],"mechanical":[27],"systems.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32],"develop":[33],"the":[34],"mathematical":[35],"machinery":[36],"needed":[37],"for":[38,48],"projection":[39],"operator":[40],"based":[41],"trajectory":[42],"exploration":[43],"optimization":[45],"(optimal":[46],"control)":[47],"defined":[50],"non-compact":[52]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
