{"id":"https://openalex.org/W2127410562","doi":"https://doi.org/10.1109/acc.2003.1244034","title":"Unified approach for Euler-Lagrange equation arising in calculus of variations","display_name":"Unified approach for Euler-Lagrange equation arising in calculus of variations","publication_year":2004,"publication_date":"2004-01-23","ids":{"openalex":"https://openalex.org/W2127410562","doi":"https://doi.org/10.1109/acc.2003.1244034","mag":"2127410562"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2003.1244034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1244034","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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/A5103354957","display_name":"D. Subbaram Naidu","orcid":null},"institutions":[{"id":"https://openalex.org/I106969075","display_name":"Idaho State University","ror":"https://ror.org/0162z8b04","country_code":"US","type":"education","lineage":["https://openalex.org/I106969075"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.S. Naidu","raw_affiliation_strings":["Measurement and Control Engineering Research CenterCollege of Engineering, Idaho State University, Pocatello, ID, USA","Meas. & Control Eng. Res. Center, Idaho State Univ., Pocatello, ID, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Measurement and Control Engineering Research CenterCollege of Engineering, Idaho State University, Pocatello, ID, USA","institution_ids":["https://openalex.org/I106969075"]},{"raw_affiliation_string":"Meas. & Control Eng. Res. Center, Idaho State Univ., Pocatello, ID, USA","institution_ids":["https://openalex.org/I106969075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048772095","display_name":"Y. Imura","orcid":null},"institutions":[{"id":"https://openalex.org/I106969075","display_name":"Idaho State University","ror":"https://ror.org/0162z8b04","country_code":"US","type":"education","lineage":["https://openalex.org/I106969075"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Imura","raw_affiliation_strings":["Measurement and Control Engineering Research CenterCollege of Engineering, Idaho State University, Pocatello, ID, USA","Meas. & Control Eng. Res. Center, Idaho State Univ., Pocatello, ID, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Measurement and Control Engineering Research CenterCollege of Engineering, Idaho State University, Pocatello, ID, USA","institution_ids":["https://openalex.org/I106969075"]},{"raw_affiliation_string":"Meas. & Control Eng. Res. Center, Idaho State Univ., Pocatello, ID, USA","institution_ids":["https://openalex.org/I106969075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0075,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76995163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"3263","last_page":"3268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9943000078201294,"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":0.9943000078201294,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9840999841690063,"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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/operator","display_name":"Operator (biology)","score":0.5899680852890015},{"id":"https://openalex.org/keywords/euler\u2013lagrange-equation","display_name":"Euler\u2013Lagrange equation","score":0.5278995633125305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.509222149848938},{"id":"https://openalex.org/keywords/calculus-of-variations","display_name":"Calculus of variations","score":0.5063334703445435},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5035356879234314},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4739154279232025},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.44225913286209106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39741644263267517},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3296390771865845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27995574474334717},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.10379570722579956}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5899680852890015},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.5278995633125305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.509222149848938},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.5063334703445435},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5035356879234314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4739154279232025},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.44225913286209106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39741644263267517},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3296390771865845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27995574474334717},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.10379570722579956},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2003.1244034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1244034","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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":6,"referenced_works":["https://openalex.org/W1484628174","https://openalex.org/W1493132161","https://openalex.org/W1814021024","https://openalex.org/W2051806610","https://openalex.org/W2104128408","https://openalex.org/W2322994750"],"related_works":["https://openalex.org/W2949370217","https://openalex.org/W42648571","https://openalex.org/W4297887470","https://openalex.org/W2218865403","https://openalex.org/W1998776556","https://openalex.org/W1968997760","https://openalex.org/W2808470504","https://openalex.org/W2671854578","https://openalex.org/W4237074171","https://openalex.org/W3186877119"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,9,30,44,53,70],"development":[3],"of":[4,14,20],"a":[5,15,26],"unified":[6,27,71],"approach":[7,28],"for":[8,12,29,60],"necessary":[10],"conditions":[11],"optimization":[13],"functional":[16],"arising":[17],"in":[18],"calculus":[19],"variations.":[21],"In":[22],"particular,":[23],"we":[24],"develop":[25],"Euler-Lagrange":[31,54],"equation":[32],"that":[33,52],"is":[34,50,76],"simultaneously":[35],"applicable":[36],"to":[37],"both":[38],"shift":[39],"(q)-operator-based":[40],"discrete-time":[41,63],"systems":[42,64],"and":[43,62],"derivative":[45],"(d/dt)-operator-based":[46],"continuous-time":[47,61],"systems.":[48],"It":[49],"shown":[51],"results":[55],"are":[56],"now":[57],"obtained":[58,68],"separately":[59],"can":[65],"be":[66],"easily":[67],"form":[69],"approach.":[72],"An":[73],"illustrative":[74],"example":[75],"given.":[77]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}