{"id":"https://openalex.org/W2238756349","doi":"https://doi.org/10.1007/s10107-015-0976-0","title":"Second order analysis of control-affine problems with scalar state constraint","display_name":"Second order analysis of control-affine problems with scalar state constraint","publication_year":2016,"publication_date":"2016-01-09","ids":{"openalex":"https://openalex.org/W2238756349","doi":"https://doi.org/10.1007/s10107-015-0976-0","mag":"2238756349"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-015-0976-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0976-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1411.1719","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. S. Aronna","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088554","display_name":"Funda\u00e7\u00e3o Ataulpho de Paiva","ror":"https://ror.org/0052b4n21","country_code":"BR","type":"nonprofit","lineage":["https://openalex.org/I4210088554"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"M. S. Aronna","raw_affiliation_strings":["EMAp/FGV, Rio de Janeiro, 22250-900, Brazil"],"affiliations":[{"raw_affiliation_string":"EMAp/FGV, Rio de Janeiro, 22250-900, Brazil","institution_ids":["https://openalex.org/I4210088554"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. F. Bonnans","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. F. Bonnans","raw_affiliation_strings":["INRIA-Saclay and Centre de Math\u00e9matiques Appliqu\u00e9es, Ecole Polytechnique, 91128, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA-Saclay and Centre de Math\u00e9matiques Appliqu\u00e9es, Ecole Polytechnique, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I1326498283","https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":null,"display_name":"B. S. Goh","orcid":null},"institutions":[{"id":"https://openalex.org/I158949172","display_name":"Curtin University Sarawak","ror":"https://ror.org/024fm2y42","country_code":"MY","type":"education","lineage":["https://openalex.org/I158949172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"B. S. Goh","raw_affiliation_strings":["Curtin University, Miri, Sarawak, Malaysia"],"affiliations":[{"raw_affiliation_string":"Curtin University, Miri, Sarawak, Malaysia","institution_ids":["https://openalex.org/I158949172"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210088554"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.8093,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85731635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"160","issue":"1-2","first_page":"115","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.6376000046730042,"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":0.6376000046730042,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.06419999897480011,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.04320000112056732,"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/scalar","display_name":"Scalar (mathematics)","score":0.7010999917984009},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.5695000290870667},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5110999941825867},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4878000020980835},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4632999897003174},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45969998836517334},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4390999972820282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8637999892234802},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7010999917984009},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5740000009536743},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5695000290870667},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5110999941825867},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4878000020980835},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4632999897003174},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45969998836517334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44510000944137573},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4390999972820282},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43849998712539673},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3813999891281128},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27230000495910645},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.2678999900817871},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-015-0976-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-015-0976-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1411.1719","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.1719","pdf_url":"https://arxiv.org/pdf/1411.1719","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":"pmh:oai:espace.curtin.edu.au:20.500.11937/41752","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11937/41752","pdf_url":null,"source":{"id":"https://openalex.org/S4306401790","display_name":"eSpace (Curtin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205640436","host_organization_name":"Curtin University","host_organization_lineage":["https://openalex.org/I205640436"],"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":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1411.1719","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.1719","pdf_url":"https://arxiv.org/pdf/1411.1719","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1504097920","https://openalex.org/W1521791767","https://openalex.org/W1595765050","https://openalex.org/W1601741115","https://openalex.org/W1973963981","https://openalex.org/W1975910286","https://openalex.org/W1980011349","https://openalex.org/W1983248061","https://openalex.org/W1983536992","https://openalex.org/W1983871704","https://openalex.org/W1985012512","https://openalex.org/W1991759504","https://openalex.org/W2001998854","https://openalex.org/W2018053909","https://openalex.org/W2027404227","https://openalex.org/W2039944282","https://openalex.org/W2048395708","https://openalex.org/W2050673810","https://openalex.org/W2062287526","https://openalex.org/W2062886813","https://openalex.org/W2070542682","https://openalex.org/W2076020921","https://openalex.org/W2076925213","https://openalex.org/W2077053154","https://openalex.org/W2129190872","https://openalex.org/W2145061311","https://openalex.org/W2148958949","https://openalex.org/W2170756862","https://openalex.org/W2189345321","https://openalex.org/W2334285086","https://openalex.org/W2748942505","https://openalex.org/W2790417441","https://openalex.org/W4238739013","https://openalex.org/W4249667877"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}