{"id":"https://openalex.org/W2100575826","doi":"https://doi.org/10.1109/cdc.2009.5400875","title":"The method of controlled Lagrangians: Energy plus force shaping","display_name":"The method of controlled Lagrangians: Energy plus force shaping","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2100575826","doi":"https://doi.org/10.1109/cdc.2009.5400875","mag":"2100575826"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400875","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5090203902","display_name":"Dong Eui Chang","orcid":"https://orcid.org/0000-0002-6496-4189"},"institutions":[{"id":"https://openalex.org/I122879082","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29","country_code":"CA","type":"government","lineage":["https://openalex.org/I122879082"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dong Eui Chang","raw_affiliation_strings":["NSERC Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","Applied Mathematics, University of Waterloo, 200 University Ave. W., ON, N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NSERC Applied Mathematics, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I122879082","https://openalex.org/I151746483"]},{"raw_affiliation_string":"Applied Mathematics, University of Waterloo, 200 University Ave. W., ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090203902"],"corresponding_institution_ids":["https://openalex.org/I122879082","https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3329","last_page":"3334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9781000018119812,"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/T13286","display_name":"Modeling and Simulation Systems","score":0.910099983215332,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.7778993844985962},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.58542799949646},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5727332830429077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.535946249961853},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46865788102149963},{"id":"https://openalex.org/keywords/mechanical-system","display_name":"Mechanical system","score":0.438618928194046},{"id":"https://openalex.org/keywords/potential-energy","display_name":"Potential energy","score":0.4203593134880066},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4093155562877655},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3436957597732544},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2927512526512146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29244768619537354},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28967970609664917},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2142995297908783},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2130793035030365},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12597042322158813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06992992758750916}],"concepts":[{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.7778993844985962},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.58542799949646},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5727332830429077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.535946249961853},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46865788102149963},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.438618928194046},{"id":"https://openalex.org/C84551667","wikidata":"https://www.wikidata.org/wiki/Q155640","display_name":"Potential energy","level":2,"score":0.4203593134880066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4093155562877655},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3436957597732544},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2927512526512146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29244768619537354},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28967970609664917},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2142995297908783},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2130793035030365},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12597042322158813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06992992758750916},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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.2009.5400875","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8700000047683716,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1573190407","https://openalex.org/W1973564868","https://openalex.org/W1976473169","https://openalex.org/W1977165430","https://openalex.org/W1993300073","https://openalex.org/W2025365558","https://openalex.org/W2050876957","https://openalex.org/W2070926313","https://openalex.org/W2102263452","https://openalex.org/W2119556926","https://openalex.org/W2124863501","https://openalex.org/W2127198539","https://openalex.org/W2151940355","https://openalex.org/W2952218911","https://openalex.org/W4292408540","https://openalex.org/W6643571482","https://openalex.org/W6682123691"],"related_works":["https://openalex.org/W2355730523","https://openalex.org/W152021879","https://openalex.org/W2072918937","https://openalex.org/W2365629437","https://openalex.org/W2023935927","https://openalex.org/W2348330439","https://openalex.org/W2350372928","https://openalex.org/W2377292126","https://openalex.org/W79791238","https://openalex.org/W120243950"],"abstract_inverted_index":{"We":[0],"present":[1],"our":[2],"recent":[3],"results":[4,42],"on":[5],"the":[6,48],"method":[7,32],"of":[8],"controlled":[9],"Lagrangians":[10],"in":[11,47],"order":[12],"to":[13],"stabilize":[14],"mechanical":[15],"systems":[16],"by":[17,30],"shaping":[18],"both":[19],"energy":[20],"and":[21,35,44],"external":[22],"forces.":[23],"Various":[24],"easily":[25],"verifiable":[26],"criteria":[27],"for":[28],"stabilizability":[29],"this":[31],"are":[33,37],"given":[34],"they":[36],"illustrated":[38],"with":[39],"examples.":[40],"Our":[41],"incorporate":[43],"extend":[45],"those":[46],"literature.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
