{"id":"https://openalex.org/W2495383642","doi":"https://doi.org/10.14736/kyb-2017-6-1118","title":"Nilpotent approximation of a trident snake robot controlling distribution","display_name":"Nilpotent approximation of a trident snake robot controlling distribution","publication_year":2018,"publication_date":"2018-01-12","ids":{"openalex":"https://openalex.org/W2495383642","doi":"https://doi.org/10.14736/kyb-2017-6-1118","mag":"2495383642"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2017-6-1118","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2017-6-1118","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1607.08500","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030826615","display_name":"Jaroslav Hrdina","orcid":"https://orcid.org/0000-0003-2460-7571"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jaroslav Hrdina","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Radomil Matou\u0161ek","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radomil Matou\u0161ek","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063970120","display_name":"Ale\u0161 N\u00e1vrat","orcid":"https://orcid.org/0000-0002-8100-4032"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ale\u0161 N\u00e1vrat","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000214099","display_name":"Petr Va\u0161\u00edk","orcid":"https://orcid.org/0000-0001-6725-7378"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Petr Va\u0161\u00edk","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030826615"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00300375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1118","last_page":"1130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.996999979019165,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.996999979019165,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9787999987602234,"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/nilpotent","display_name":"Nilpotent","score":0.806199312210083},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6516746282577515},{"id":"https://openalex.org/keywords/trident","display_name":"Trident","score":0.5788783431053162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5599072575569153},{"id":"https://openalex.org/keywords/bracket","display_name":"Bracket","score":0.5121541023254395},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42483675479888916},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4091666340827942},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29501229524612427},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1756729781627655},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10827437043190002},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10757428407669067}],"concepts":[{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.806199312210083},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6516746282577515},{"id":"https://openalex.org/C2777909563","wikidata":"https://www.wikidata.org/wiki/Q271628","display_name":"Trident","level":2,"score":0.5788783431053162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5599072575569153},{"id":"https://openalex.org/C133769200","wikidata":"https://www.wikidata.org/wiki/Q174565","display_name":"Bracket","level":2,"score":0.5121541023254395},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42483675479888916},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4091666340827942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29501229524612427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1756729781627655},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10827437043190002},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10757428407669067},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.14736/kyb-2017-6-1118","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2017-6-1118","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1607.08500","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.08500","pdf_url":"https://arxiv.org/pdf/1607.08500","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2495383642","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1607.08500.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147088","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147088","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"},{"id":"doi:10.48550/arxiv.1607.08500","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1607.08500","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1607.08500","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.08500","pdf_url":"https://arxiv.org/pdf/1607.08500","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2495383642.pdf"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1564897360"],"related_works":["https://openalex.org/W2090617059","https://openalex.org/W3139354104","https://openalex.org/W1982729005","https://openalex.org/W2021499360","https://openalex.org/W2023422238","https://openalex.org/W64369251","https://openalex.org/W2402652800","https://openalex.org/W2028038060","https://openalex.org/W3169834093","https://openalex.org/W2509735116","https://openalex.org/W2152857283","https://openalex.org/W2552497251","https://openalex.org/W2196065910","https://openalex.org/W1991880036","https://openalex.org/W2325746840","https://openalex.org/W2603622227","https://openalex.org/W2255584566","https://openalex.org/W2962784355","https://openalex.org/W1996624572","https://openalex.org/W2412017062"],"abstract_inverted_index":{"We":[0,44],"construct":[1,21],"a":[2,14,22,41],"privileged":[3],"system":[4],"of":[5,13,40,53],"coordinates":[6],"with":[7,25],"respect":[8,26],"to":[9,27,49],"the":[10,28,38,46,50,54],"controlling":[11,56],"distribution":[12],"trident":[15],"snake":[16],"robot":[17],"and,":[18],"furthermore,":[19],"we":[20],"nilpotent":[23,61],"approximation":[24],"given":[29],"filtration.":[30],"Note":[31],"that":[32],"all":[33],"constructions":[34],"are":[35],"local":[36],"in":[37],"neighbourhood":[39],"particular":[42],"point.":[43],"compare":[45],"motions":[47],"corresponding":[48],"Lie":[51],"bracket":[52],"original":[55],"vector":[57],"fields":[58],"and":[59],"their":[60],"approximation.":[62]},"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}