{"id":"https://openalex.org/W2099775692","doi":"https://doi.org/10.1109/cdc.2010.5718081","title":"Second-order DMOC using projection","display_name":"Second-order DMOC using projection","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2099775692","doi":"https://doi.org/10.1109/cdc.2010.5718081","mag":"2099775692"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718081","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718081","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/A5067804413","display_name":"Kristine L. Snyder","orcid":"https://orcid.org/0000-0001-6127-4812"},"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":true,"raw_author_name":"Kristine L. Snyder","raw_affiliation_strings":["Department of Applied Mathematics, University of Colorado, Boulder, CO, USA","Department of Applied Mathematics, 526 UCB, University of Colorado, Boulder, 80309, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Colorado, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Applied Mathematics, 526 UCB, University of Colorado, Boulder, 80309, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067725461","display_name":"Todd D. Murphey","orcid":"https://orcid.org/0000-0003-2262-8176"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Todd D. Murphey","raw_affiliation_strings":["Department of Mechanical Engineering, Northwestern University, Evanston, IL, USA","Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Il. 60208 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Il. 60208 USA","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067804413"],"corresponding_institution_ids":["https://openalex.org/I188538660"],"apc_list":null,"apc_paid":null,"fwci":0.9829,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7731696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1872","last_page":"1878"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9975000023841858,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9959999918937683,"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/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.7650723457336426},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.646970272064209},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5739531517028809},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5535656213760376},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5507616996765137},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5437390208244324},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5301438570022583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48996320366859436},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.47441691160202026},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.4441225826740265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4068470299243927},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34128719568252563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22179365158081055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08879515528678894}],"concepts":[{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.7650723457336426},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.646970272064209},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5739531517028809},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5535656213760376},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5507616996765137},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5437390208244324},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5301438570022583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48996320366859436},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.47441691160202026},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.4441225826740265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4068470299243927},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34128719568252563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22179365158081055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08879515528678894},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5718081","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718081","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1709064880","https://openalex.org/W2062388571","https://openalex.org/W2115497059","https://openalex.org/W2128285126","https://openalex.org/W2149109656","https://openalex.org/W2170039048","https://openalex.org/W2952021716","https://openalex.org/W6637539608","https://openalex.org/W6666150991"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W2054817525","https://openalex.org/W4313119266","https://openalex.org/W2164807043","https://openalex.org/W2019128690","https://openalex.org/W4231448069","https://openalex.org/W2128461291","https://openalex.org/W2355907103","https://openalex.org/W2270789747","https://openalex.org/W436931041"],"abstract_inverted_index":{"Discrete":[0],"mechanics":[1,24],"and":[2,46,79,114],"optimal":[3,11,28],"control":[4,12,29],"(DMOC)":[5],"is":[6,51],"a":[7,54],"recent":[8],"development":[9],"in":[10,88],"of":[13,19,23,44],"mechanical":[14],"systems":[15],"that":[16,69],"takes":[17],"advantage":[18],"the":[20,27,32,41,48,76,108,122],"variational":[21],"structure":[22],"when":[25],"discretizing":[26],"problem.":[30],"Typically,":[31],"discrete":[33],"Euler-Lagrange":[34],"equations":[35],"are":[36,118],"used":[37,119],"as":[38,59],"constraints":[39],"on":[40],"feasible":[42,77],"set":[43],"solutions,":[45],"then":[47,80],"objective":[49],"function":[50],"minimized":[52],"using":[53],"constrained":[55],"optimization":[56],"algorithm,":[57],"such":[58],"sequential":[60],"quadratic":[61,94],"programming":[62],"(SQP).":[63],"In":[64],"contrast,":[65],"this":[66],"paper":[67],"illustrates":[68],"by":[70,73],"reducing":[71],"dimensionality":[72],"projecting":[74],"onto":[75],"subspace":[78],"performing":[81],"optimization,":[82],"one":[83],"can":[84,100],"obtain":[85],"significant":[86],"improvements":[87],"convergence,":[89],"going":[90],"from":[91],"superlinear":[92],"to":[93,120],"convergence.":[95],"Moreover,":[96],"whereas":[97],"numerical":[98],"SQP":[99],"run":[101],"into":[102],"machine":[103],"precision":[104],"problems":[105],"before":[106],"terminating,":[107],"projection-based":[109],"technique":[110],"converges":[111],"easily.":[112],"Double":[113],"single":[115],"pendulum":[116],"examples":[117],"illustrate":[121],"technique.":[123]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}