{"id":"https://openalex.org/W2011318617","doi":"https://doi.org/10.1137/130920691","title":"Controllability of Some Nonlinear Systems with Drift via Generalized Curvature Properties","display_name":"Controllability of Some Nonlinear Systems with Drift via Generalized Curvature Properties","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2011318617","doi":"https://doi.org/10.1137/130920691","mag":"2011318617"},"language":"en","primary_location":{"id":"doi:10.1137/130920691","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130920691","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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/A5089252689","display_name":"Antonio Marigonda","orcid":"https://orcid.org/0000-0003-3242-7474"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Marigonda","raw_affiliation_strings":["Univ of Verona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ of Verona","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110250756","display_name":"Silvia Rigo","orcid":null},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Silvia Rigo","raw_affiliation_strings":["Univ of Verona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ of Verona","institution_ids":["https://openalex.org/I119439378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I119439378"],"apc_list":null,"apc_paid":null,"fwci":3.5291,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92929293,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"1","first_page":"434","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9922000169754028,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9896000027656555,"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/controllability","display_name":"Controllability","score":0.850592315196991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8383079767227173},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6551134586334229},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6076793074607849},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.566006600856781},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.5517749190330505},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5214276313781738},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4741729497909546},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45920923352241516},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4588613510131836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32604989409446716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25115394592285156},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16645854711532593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08135730028152466}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.850592315196991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8383079767227173},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6551134586334229},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6076793074607849},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.566006600856781},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5517749190330505},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5214276313781738},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4741729497909546},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45920923352241516},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4588613510131836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32604989409446716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25115394592285156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16645854711532593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08135730028152466},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130920691","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130920691","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1486223302","https://openalex.org/W1487586009","https://openalex.org/W1494380031","https://openalex.org/W1529270923","https://openalex.org/W1540059687","https://openalex.org/W1551360398","https://openalex.org/W1565973198","https://openalex.org/W1960239420","https://openalex.org/W1974468996","https://openalex.org/W1993613781","https://openalex.org/W2050224350","https://openalex.org/W2062350337","https://openalex.org/W2077522937","https://openalex.org/W2082575319","https://openalex.org/W2083001486","https://openalex.org/W2107162937","https://openalex.org/W2151026187","https://openalex.org/W2947056241","https://openalex.org/W2963717129","https://openalex.org/W3173198149","https://openalex.org/W4213171111","https://openalex.org/W4255677379","https://openalex.org/W4298300374"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W1496421768"],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,17,50,62,67,80,84,88,96],"problem":[3],"of":[4,49,57,61,83],"local":[5,42],"attainability":[6],"for":[7,79],"finite-dimensional":[8],"nonlinear":[9],"control":[10,68],"systems":[11,26],"with":[12,27,66],"quite":[13],"general":[14],"assumptions":[15],"on":[16],"target":[18,51,97],"set.":[19,98],"Special":[20],"emphasis":[21],"is":[22,74],"given":[23],"to":[24,95],"control-affine":[25],"a":[28,55,75],"possibly":[29],"nontrivial":[30],"drift":[31],"term.":[32],"To":[33],"this":[34],"end,":[35],"we":[36],"provide":[37],"some":[38],"sufficient":[39],"conditions":[40],"ensuring":[41],"attainability,":[43],"which":[44],"involve":[45],"geometric":[46],"properties":[47],"both":[48],"itself":[52],"(such":[53],"as":[54],"notion":[56],"generalized":[58],"curvature),":[59],"and":[60],"Lie":[63],"algebra":[64],"associated":[65],"system.":[69],"The":[70],"main":[71],"technique":[72],"used":[73],"convenient":[76],"representation":[77],"formula":[78],"power":[81],"expansion":[82],"distance":[85],"function":[86],"along":[87],"trajectories,":[89],"made":[90],"at":[91],"points":[92],"sufficiently":[93],"near":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}