{"id":"https://openalex.org/W1992433293","doi":"https://doi.org/10.1093/imamci/dnr042","title":"Non-unique and non-bang-bang controls in some linear time-optimal problems","display_name":"Non-unique and non-bang-bang controls in some linear time-optimal problems","publication_year":2011,"publication_date":"2011-12-17","ids":{"openalex":"https://openalex.org/W1992433293","doi":"https://doi.org/10.1093/imamci/dnr042","mag":"1992433293"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnr042","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5110311103","display_name":"V. R. Nosov","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"V. R. Nosov","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068178523","display_name":"Jes\u00fas Alberto Meda-Campa\u00f1a","orcid":"https://orcid.org/0000-0001-6557-2745"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. A. Meda-Campana","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017746192","display_name":"J. C. G\u00f3mez-Mancilla","orcid":"https://orcid.org/0000-0003-3870-3636"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. C. Gomez-Mancilla","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, Secci\u00f3n de Estudios de Posgrado e Investigaci\u00f3n (SEPI) de la Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (ESIME) Zacatenco, Department of Mechanical Engineering, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167,"provenance":"doaj"},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":65},"biblio":{"volume":"29","issue":"2","first_page":"259","last_page":"269"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9917,"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":0.9917,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9782,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9573,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bang\u2013bang-control","display_name":"Bang\u2013bang control","score":0.606678},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5624795},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.52127767}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.90409505},{"id":"https://openalex.org/C175287345","wikidata":"https://www.wikidata.org/wiki/Q1432859","display_name":"Bang\u2013bang control","level":3,"score":0.606678},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.58536875},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5624795},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.52127767},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5189881},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49929166},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4982102},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.48125646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47917548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45916754},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4585848},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43119565},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40307802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3466869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13903058},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06379354},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnr042","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4237454804","https://openalex.org/W3209184047","https://openalex.org/W2539338955","https://openalex.org/W2170835896","https://openalex.org/W2110547027","https://openalex.org/W2054831413","https://openalex.org/W2026024153","https://openalex.org/W1999673819","https://openalex.org/W1990421243","https://openalex.org/W1942635442"],"abstract_inverted_index":{"In":[0],"this":[1,31,86],"paper,":[2],"the":[3,34,47,73,76,90],"time-optimal":[4,37],"control":[5,38],"for":[6,39,85],"multidimensional":[7,40,97],"linear":[8,41],"systems":[9,42],"is":[10,33,43,99],"studied":[11],"in":[12,78,96],"cases":[13],"when":[14],"Kalman":[15],"controllability":[16],"conditions":[17],"does":[18,25],"hold,":[19],"but":[20],"Gramkrelidze":[21],"generic":[22],"position":[23],"condition":[24],"not.":[26],"The":[27],"main":[28],"contribution":[29],"of":[30,56,63,88,93],"study":[32],"demonstration":[35],"that":[36],"not":[44],"restricted":[45],"to":[46,71,75],"classical":[48],"discontinuous":[49],"bang-bang":[50],"form":[51],"with":[52],"a":[53],"finite":[54],"number":[55,62],"switching":[57],"points.":[58],"Instead,":[59],"an":[60,82],"infinite":[61],"controls,":[64],"including":[65],"continuous":[66],"ones,":[67],"can":[68],"be":[69],"used":[70],"take":[72],"system":[74],"origin":[77],"minimum":[79],"time.":[80],"As":[81],"illustrative":[83],"example":[84],"class":[87],"problems,":[89],"controllable":[91],"movement":[92],"material":[94],"point":[95],"space":[98],"considered.":[100]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1992433293","counts_by_year":[],"updated_date":"2024-12-14T05:52:10.374321","created_date":"2016-06-24"}