{"id":"https://openalex.org/W2165395338","doi":"https://doi.org/10.1109/cdc.2008.4738789","title":"A nonlinear dynamic inversion computational approach applied to the exact tracking problem for the spherical pendulum","display_name":"A nonlinear dynamic inversion computational approach applied to the exact tracking problem for the spherical pendulum","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2165395338","doi":"https://doi.org/10.1109/cdc.2008.4738789","mag":"2165395338"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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/A5048869539","display_name":"Luca Consolini","orcid":"https://orcid.org/0000-0002-3577-9398"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Consolini","raw_affiliation_strings":["Dipartimento di Ingegneria dellInformazione, Universit\u00e0 di Parma, Parma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dellInformazione, Universit\u00e0 di Parma, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077595382","display_name":"Mario Tosques","orcid":"https://orcid.org/0000-0002-3710-7552"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario Tosques","raw_affiliation_strings":["Dipartimento di Ingegneria Civile, Universit\u00e0 di Parma, Parma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile, Universit\u00e0 di Parma, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12365018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":null,"first_page":"3469","last_page":"3474"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9987999796867371,"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":0.9986000061035156,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6881764531135559},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6799514293670654},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6105223894119263},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.52593594789505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4830361306667328},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4314138889312744},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.42880091071128845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4058481454849243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35621458292007446},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3333446979522705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21749231219291687},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19250375032424927},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13959327340126038},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.06538289785385132}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6881764531135559},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6799514293670654},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6105223894119263},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.52593594789505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4830361306667328},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4314138889312744},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.42880091071128845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4058481454849243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35621458292007446},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3333446979522705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21749231219291687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19250375032424927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13959327340126038},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.06538289785385132},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4738789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1977554480","https://openalex.org/W1983148421","https://openalex.org/W1995096839","https://openalex.org/W2010707397","https://openalex.org/W2018603263","https://openalex.org/W2020664991","https://openalex.org/W2063300576","https://openalex.org/W2069138637","https://openalex.org/W2100769272","https://openalex.org/W2118668722","https://openalex.org/W2127198539","https://openalex.org/W2129567658","https://openalex.org/W2209075112"],"related_works":["https://openalex.org/W962423920","https://openalex.org/W2387968248","https://openalex.org/W2350715914","https://openalex.org/W2482919532","https://openalex.org/W2379529020","https://openalex.org/W2893549521","https://openalex.org/W2330311678","https://openalex.org/W2352322616","https://openalex.org/W2574438335","https://openalex.org/W2120821724"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"present":[4],"a":[5,30],"new":[6],"computational":[7],"approach":[8],"for":[9,24],"nonlinear":[10],"dynamic":[11],"inversion":[12],"based":[13],"on":[14,29],"an":[15],"\u00bfhomotopy":[16],"technique\u00bf":[17],"applied":[18],"to":[19],"the":[20,25],"exact":[21],"tracking":[22],"problem":[23],"spherical":[26],"inverted":[27],"pendulum":[28],"periodic":[31],"curve":[32],"in":[33],"\u00bf":[34],"<sup":[35],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[37],",":[38],"non":[39],"necessarily":[40],"planar.":[41]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}