{"id":"https://openalex.org/W2004957318","doi":"https://doi.org/10.1109/cdc.2013.6760147","title":"On optimal control problems with impulsive commutative dynamics","display_name":"On optimal control problems with impulsive commutative dynamics","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2004957318","doi":"https://doi.org/10.1109/cdc.2013.6760147","mag":"2004957318"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1311.6739","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. Soledad Aronna","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"M. Soledad Aronna","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":null,"display_name":"Franco Rampazzo","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Franco Rampazzo","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":null,"apc_paid":null,"fwci":0.3736,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63528025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1822","last_page":"1827"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9717000126838684,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6593000292778015},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.656000018119812},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5778999924659729},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.5327000021934509},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4864000082015991},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.462799996137619},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4496999979019165},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.39089998602867126}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7703999876976013},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6593000292778015},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.656000018119812},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5778999924659729},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.5327000021934509},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4864000082015991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4715000092983246},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.462799996137619},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4496999979019165},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.39089998602867126},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.3865000009536743},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3269999921321869},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.32519999146461487},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.31040000915527344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30630001425743103},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.28299999237060547},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26840001344680786},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.2574000060558319}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2013.6760147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1311.6739","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.6739","pdf_url":"https://arxiv.org/pdf/1311.6739","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:HAL:hal-01067473v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01067473","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 52nd Annual Conference on Decision and Control (CDC), 2013, Florence, Italy. pp.1822 - 1827, ⟨10.1109/CDC.2013.6760147⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1311.6739","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.6739","pdf_url":"https://arxiv.org/pdf/1311.6739","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":7,"referenced_works":["https://openalex.org/W1505108259","https://openalex.org/W2038151469","https://openalex.org/W2057463665","https://openalex.org/W2066616184","https://openalex.org/W2075964826","https://openalex.org/W6607119479","https://openalex.org/W6739879958"],"related_works":[],"abstract_inverted_index":{"We":[0],"consider":[1],"control":[2,17,82],"systems":[3],"governed":[4],"by":[5],"nonlinear":[6],"O.D.E.'s":[7],"that":[8,123],"are":[9],"affine":[10],"in":[11,49,55,66,85,93],"the":[12,16,34,42,56,67,76,86,94,100,112],"time-derivative":[13],"du/dt":[14],"of":[15,28,51,62,105,111,131],"u.":[18,119],"The":[19],"latter":[20],"is":[21,40,69,83,127],"allowed":[22],"to":[23,75,134],"be":[24,47],"an":[25,36,79],"integrable,":[26],"possibly":[27],"unbounded":[29],"variation":[30],"function,":[31],"which":[32],"gives":[33],"system":[35],"impulsive":[37,125],"character.":[38],"As":[39],"well-known,":[41],"corresponding":[43,133],"Cauchy":[44],"problem":[45,92,114,126],"cannot":[46],"interpreted":[48],"terms":[50],"Schwartz":[52],"distributions,":[53],"even":[54],"commutative":[57],"case.":[58],"A":[59],"robust":[60],"notion":[61,104],"solution":[63,106],"already":[64],"proposed":[65],"literature":[68],"here":[70],"adopted":[71],"and":[72],"slightly":[73],"generalized":[74],"case":[77],"where":[78],"ordinary,":[80],"bounded,":[81],"present":[84],"dynamics":[87],"as":[88],"well.":[89],"For":[90],"a":[91,108,128],"Mayer":[95],"form":[96],"we":[97,121],"then":[98],"investigate":[99],"question":[101],"whether":[102],"this":[103,124],"provides":[107],"\u201cproper":[109],"extension\u201d":[110],"standard":[113],"with":[115,137],"absolutely":[116],"continuous":[117],"controls":[118,135],"Furthermore,":[120],"show":[122],"variational":[129],"limit":[130],"problems":[132],"u":[136],"bounded":[138],"variation.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}