{"id":"https://openalex.org/W4382322466","doi":"https://doi.org/10.1155/2023/8207980","title":"Robust Approach for Global Stabilization of a Class of Underactuated Mechanical Systems in Presence of Uncertainties","display_name":"Robust Approach for Global Stabilization of a Class of Underactuated Mechanical Systems in Presence of Uncertainties","publication_year":2023,"publication_date":"2023-06-14","ids":{"openalex":"https://openalex.org/W4382322466","doi":"https://doi.org/10.1155/2023/8207980"},"language":"en","primary_location":{"id":"doi:10.1155/2023/8207980","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/8207980","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/8207980.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2023/8207980.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051402872","display_name":"Ibrahim Shah","orcid":"https://orcid.org/0000-0001-7734-2664"},"institutions":[{"id":"https://openalex.org/I4210088086","display_name":"Capital University of Science and Technology","ror":"https://ror.org/004776246","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210088086"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ibrahim Shah","raw_affiliation_strings":["Electrical Engineering Department, Capital University of Science and Technology, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Capital University of Science and Technology, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I4210088086"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008316040","display_name":"Waseem Abbasi","orcid":"https://orcid.org/0000-0003-4114-7773"},"institutions":[{"id":"https://openalex.org/I4210100043","display_name":"Superior University","ror":"https://ror.org/00yh88643","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210100043"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Waseem Abbasi","raw_affiliation_strings":["Computer Science and IT Department, Superior University, Lahore 54000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-4114-7773","affiliations":[{"raw_affiliation_string":"Computer Science and IT Department, Superior University, Lahore 54000, Pakistan","institution_ids":["https://openalex.org/I4210100043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052648906","display_name":"Musaed Alhussein","orcid":"https://orcid.org/0000-0002-5538-6778"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Musaed Alhussein","raw_affiliation_strings":["Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, Riyadh 11543, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, Riyadh 11543, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081163855","display_name":"Imran Khan","orcid":"https://orcid.org/0000-0001-8499-3078"},"institutions":[{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Imran Khan","raw_affiliation_strings":["Electrical Engineering Department, Sargodha University, Sargodha 40100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Sargodha University, Sargodha 40100, Pakistan","institution_ids":["https://openalex.org/I160968435"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062720274","display_name":"Fazal ur Rehman","orcid":"https://orcid.org/0000-0002-4650-8956"},"institutions":[{"id":"https://openalex.org/I4210088086","display_name":"Capital University of Science and Technology","ror":"https://ror.org/004776246","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210088086"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Fazal Ur Rehman","raw_affiliation_strings":["Electrical Engineering Department, Capital University of Science and Technology, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Capital University of Science and Technology, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I4210088086"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014296507","display_name":"Muhammad Shahid Anwar","orcid":"https://orcid.org/0000-0001-8093-6690"},"institutions":[{"id":"https://openalex.org/I12832649","display_name":"Gachon University","ror":"https://ror.org/03ryywt80","country_code":"KR","type":"education","lineage":["https://openalex.org/I12832649"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Muhammad Shahid Anwar","raw_affiliation_strings":["Department of AI Software, Gachon University, Seongnam-si 13120, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0001-8093-6690","affiliations":[{"raw_affiliation_string":"Department of AI Software, Gachon University, Seongnam-si 13120, Republic of Korea","institution_ids":["https://openalex.org/I12832649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014562556","display_name":"Khursheed Aurangzeb","orcid":"https://orcid.org/0000-0003-3647-8578"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Khursheed Aurangzeb","raw_affiliation_strings":["Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, Riyadh 11543, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-3647-8578","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, Riyadh 11543, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5008316040","https://openalex.org/A5014296507"],"corresponding_institution_ids":["https://openalex.org/I12832649","https://openalex.org/I4210100043"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.5242,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64269321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"21"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9983999729156494,"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":0.9983000159263611,"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/underactuation","display_name":"Underactuation","score":0.9554210901260376},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7788677215576172},{"id":"https://openalex.org/keywords/overhead-crane","display_name":"Overhead crane","score":0.706112265586853},{"id":"https://openalex.org/keywords/furuta-pendulum","display_name":"Furuta pendulum","score":0.5945659875869751},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5814486145973206},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5700545907020569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5568044185638428},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.5328880548477173},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.48437079787254333},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.4556049406528473},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.43227145075798035},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.34292709827423096},{"id":"https://openalex.org/keywords/double-pendulum","display_name":"Double pendulum","score":0.27624034881591797},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24171361327171326},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17543748021125793},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06347000598907471}],"concepts":[{"id":"https://openalex.org/C88337583","wikidata":"https://www.wikidata.org/wiki/Q7883433","display_name":"Underactuation","level":3,"score":0.9554210901260376},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7788677215576172},{"id":"https://openalex.org/C2779279789","wikidata":"https://www.wikidata.org/wiki/Q1060390","display_name":"Overhead crane","level":2,"score":0.706112265586853},{"id":"https://openalex.org/C191601290","wikidata":"https://www.wikidata.org/wiki/Q5509824","display_name":"Furuta pendulum","level":5,"score":0.5945659875869751},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5814486145973206},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5700545907020569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5568044185638428},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5328880548477173},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.48437079787254333},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.4556049406528473},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.43227145075798035},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.34292709827423096},{"id":"https://openalex.org/C167183279","wikidata":"https://www.wikidata.org/wiki/Q1243208","display_name":"Double pendulum","level":4,"score":0.27624034881591797},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24171361327171326},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17543748021125793},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06347000598907471},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2023/8207980","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/8207980","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/8207980.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8207980","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2023/8207980.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:d9ebff5aebbf49b99ec4b56768f0ecfb","is_oa":true,"landing_page_url":"https://doaj.org/article/d9ebff5aebbf49b99ec4b56768f0ecfb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2023 (2023)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2023/8207980","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/8207980","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2023/8207980","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/8207980","pdf_url":"https://downloads.hindawi.com/journals/complexity/2023/8207980.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5505267364","display_name":null,"funder_award_id":"RSPD2023R553","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382322466.pdf","grobid_xml":"https://content.openalex.org/works/W4382322466.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W120243950","https://openalex.org/W1901741820","https://openalex.org/W1941843239","https://openalex.org/W1974845375","https://openalex.org/W1977277930","https://openalex.org/W1990984703","https://openalex.org/W2008770966","https://openalex.org/W2013465274","https://openalex.org/W2013772138","https://openalex.org/W2016108308","https://openalex.org/W2026984935","https://openalex.org/W2027191849","https://openalex.org/W2029461848","https://openalex.org/W2036418410","https://openalex.org/W2054832853","https://openalex.org/W2056840695","https://openalex.org/W2064664324","https://openalex.org/W2070261449","https://openalex.org/W2090548361","https://openalex.org/W2098222446","https://openalex.org/W2104795691","https://openalex.org/W2105067685","https://openalex.org/W2122850819","https://openalex.org/W2125968092","https://openalex.org/W2136650097","https://openalex.org/W2138578668","https://openalex.org/W2146416655","https://openalex.org/W2159699010","https://openalex.org/W2237950153","https://openalex.org/W2336173667","https://openalex.org/W2479707217","https://openalex.org/W2485899942","https://openalex.org/W2512390802","https://openalex.org/W2552585713","https://openalex.org/W2560771135","https://openalex.org/W2565031521","https://openalex.org/W2567492477","https://openalex.org/W2734847652","https://openalex.org/W2774553335","https://openalex.org/W2790432826","https://openalex.org/W2883026975","https://openalex.org/W2898423877","https://openalex.org/W2910619045","https://openalex.org/W2914080529","https://openalex.org/W2949326380","https://openalex.org/W2966719284","https://openalex.org/W3037596171","https://openalex.org/W3113147150","https://openalex.org/W3129171212","https://openalex.org/W3162590714","https://openalex.org/W3184270482","https://openalex.org/W3199434676","https://openalex.org/W3207882237","https://openalex.org/W4205571645"],"related_works":["https://openalex.org/W2540498527","https://openalex.org/W3147756312","https://openalex.org/W2352209758","https://openalex.org/W3112982930","https://openalex.org/W3216306759","https://openalex.org/W2912518559","https://openalex.org/W1943136368","https://openalex.org/W2745168490","https://openalex.org/W2655681456","https://openalex.org/W4382322466"],"abstract_inverted_index":{"Underactuated":[0],"mechanical":[1],"systems":[2,128],"offer":[3,50],"complex":[4],"dynamic":[5],"behavior":[6],"and":[7,70,89,103,134,157,164],"poses":[8],"control":[9,25,43,163],"challenges,":[10],"especially":[11],"in":[12,17],"the":[13,18,58,64,76,110,123,140,143],"presence":[14],"of":[15,61,66,113,142],"uncertainties":[16,69],"system.":[19],"To":[20,73],"cope":[21],"with":[22,75],"such":[23],"systems,":[24],"mechanisms":[26],"are":[27,120],"required,":[28],"which":[29],"needs":[30],"to":[31,54,138,160,168],"be":[32],"robust.":[33],"In":[34,146],"this":[35],"research,":[36],"an":[37,78,135],"algorithm":[38,48],"based":[39,104],"on":[40,105,122],"sliding":[41,150],"mode":[42],"(SMC)":[44],"is":[45,81,97,116,152],"presented.":[46],"The":[47,93],"design":[49,96],"a":[51,86,148],"methodical":[52],"way":[53],"handle":[55],"underactuation,":[56],"while":[57],"robustness":[59],"properties":[60],"SMC":[62,95],"suppresses":[63],"effect":[65],"norm":[67],"bounded":[68],"external":[71],"disturbances.":[72],"proceed":[74],"design,":[77],"underactuated":[79,127],"system":[80,115],"converted":[82],"into":[83],"cascaded":[84],"subsystems,":[85],"linear":[87],"one":[88],"reduced-order":[90],"nonlinear":[91],"subsystem.":[92],"proposed":[94,144],"backed":[98],"by":[99],"rigorous":[100],"mathematical":[101],"presentation":[102],"Lyapunov":[106],"theory,":[107],"so":[108],"that":[109],"global":[111,165],"stabilization":[112,166],"overall":[114],"ensured.":[117],"Numerical":[118],"simulations":[119],"performed,":[121],"laboratory":[124],"test":[125],"bench":[126],"(Inertial":[129],"Wheel,":[130],"Furuta":[131,158],"Pendulum,":[132],"TORA,":[133],"Overhead":[136],"Crane),":[137],"validate":[139],"efficacy":[141],"design.":[145],"addition,":[147],"novel":[149],"surface":[151],"presented":[153],"for":[154],"Inertial":[155],"Wheel":[156],"Pendulum":[159],"achieve":[161],"swingup":[162],"subjected":[167],"uncertainties.":[169]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}