{"id":"https://openalex.org/W2961032425","doi":null,"title":"CONSIDERATIONS ABOUT MATRIX EXPONENTIALS IN GEOMETRICAL MODELING OF THE ROBOTS","display_name":"CONSIDERATIONS ABOUT MATRIX EXPONENTIALS IN GEOMETRICAL MODELING OF THE ROBOTS","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2961032425","mag":"2961032425"},"language":"en","primary_location":{"id":"mag:2961032425","doi":null,"is_oa":false,"landing_page_url":"https://atna-mam.utcluj.ro/index.php/Acta/article/download/1194/1082","pdf_url":null,"source":{"id":"https://openalex.org/S4306500562","display_name":"ACTA TECHNICA NAPOCENSIS - Series: APPLIED MATHEMATICS, MECHANICS, and ENGINEERING","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"ACTA TECHNICA NAPOCENSIS - Series: APPLIED MATHEMATICS, MECHANICS, and ENGINEERING","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2961032425"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5022065890","display_name":"Claudiu Schonstein","orcid":"https://orcid.org/0000-0002-0026-3631","observed_orcids":["https://orcid.org/0000-0002-0026-3631"]},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Claudiu Schonstein","raw_affiliation_strings":["Lecturer, PhD, Eng, Technical University of Cluj-Napoca, Department of Mechanical Systems Engineering, E-mail: schonstein_claudiu@yahoo.com, 103-105 No., Muncii Blvd., Office C103A, 400641, Cluj-Napoca"],"raw_orcid":"https://orcid.org/0000-0002-0026-3631","affiliations":[{"raw_affiliation_string":"Lecturer, PhD, Eng, Technical University of Cluj-Napoca, Department of Mechanical Systems Engineering, E-mail: schonstein_claudiu@yahoo.com, 103-105 No., Muncii Blvd., Office C103A, 400641, Cluj-Napoca","institution_ids":["https://openalex.org/I158333966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022065890"],"corresponding_institution_ids":["https://openalex.org/I158333966"],"apc_list":null,"apc_paid":null,"fwci":0.1155,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40211581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":"62","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":1.0,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":1.0,"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":9.999999747378752e-05,"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/T10868","display_name":"Soft Robotics and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/matrix-exponential","display_name":"matrix exponential","score":0.8939999938011169},{"id":"https://openalex.org/keywords/serial-manipulators","display_name":"serial manipulators","score":0.9929999709129333},{"id":"https://openalex.org/keywords/robot-kinematics","display_name":"robot kinematics","score":0.7879999876022339},{"id":"https://openalex.org/keywords/reference-frames","display_name":"reference frames","score":0.5730000138282776},{"id":"https://openalex.org/keywords/control-functions","display_name":"control functions","score":0.6489999890327454}],"concepts":[{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.7027249336242676},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6594411134719849},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.6444812417030334},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.581530749797821},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.5591278076171875},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5567665100097656},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5155651569366455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5070946216583252},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46685200929641724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4090278446674347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36504676938056946},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15669602155685425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10795038938522339},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2961032425","doi":null,"is_oa":false,"landing_page_url":"https://atna-mam.utcluj.ro/index.php/Acta/article/download/1194/1082","pdf_url":null,"source":{"id":"https://openalex.org/S4306500562","display_name":"ACTA TECHNICA NAPOCENSIS - Series: APPLIED MATHEMATICS, MECHANICS, and ENGINEERING","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"ACTA TECHNICA NAPOCENSIS - Series: APPLIED MATHEMATICS, MECHANICS, and ENGINEERING","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2762515607","https://openalex.org/W7011289872","https://openalex.org/W2004604979","https://openalex.org/W2626388005","https://openalex.org/W3130690263","https://openalex.org/W4401794720","https://openalex.org/W4386793353","https://openalex.org/W2012914022","https://openalex.org/W2802466558","https://openalex.org/W2130172879"],"abstract_inverted_index":{"In":[0],"specialized":[1],"literature,":[2],"there":[3,63],"are":[4,19],"many":[5],"approaches":[6,22],"to":[7,32],"the":[8,24,54,73,78],"mathematical":[9,70],"modeling":[10,18,80],"of":[11,26,39,69,81],"robots.":[12,83],"Thus,":[13],"different":[14],"algorithms":[15],"for":[16],"geometric":[17],"consecrated.":[20],"Most":[21],"require":[23],"use":[25],"reference":[27],"systems,":[28],"which":[29],"can":[30,44],"lead":[31],"errors":[33],"in":[34,77],"computing.":[35],"The":[36],"geometrical":[37,79],"study":[38],"any":[40],"mechanical":[41],"robot":[42],"structure":[43],"be":[45,65],"realized":[46],"by":[47],"matrix":[48,74,90],"exponential,":[49],"having":[50],"essential":[51],"advantages":[52],"besides":[53],"classical":[55],"approaches.":[56],"As":[57],"a":[58],"result,":[59],"within":[60],"this":[61],"paper,":[62],"will":[64],"presented":[66],"an":[67],"example":[68],"modeling,":[71],"concerning":[72],"exponentials":[75],"applied":[76],"serial":[82],"Key":[86],"words:":[87],"robotics,":[88],"geometry,":[89],"exponentials,":[91],"control":[92],"functions.":[93]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2019-07-23T00:00:00"}