{"id":"https://openalex.org/W2544657335","doi":"https://doi.org/10.1109/cdc.2016.7798495","title":"Optimal control of an ensemble of Bloch equations with applications in MRI","display_name":"Optimal control of an ensemble of Bloch equations with applications in MRI","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2544657335","doi":"https://doi.org/10.1109/cdc.2016.7798495","mag":"2544657335"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5107838661","display_name":"Bernard Bonnard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bernard Bonnard","raw_affiliation_strings":["Inria, Sophia Antipolis - Mediterran\u00e9e Center, Sophia Antipolis, France","Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Sophia Antipolis - Mediterran\u00e9e Center, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003077902","display_name":"Alain Jacquemard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","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/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"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/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Jacquemard","raw_affiliation_strings":["Inria, Paris Center, Campus de l'Ecole Polytechnique, Palaiseau, France","Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Paris Center, Campus de l'Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062564633","display_name":"J\u00e9r\u00e9my Rouot","orcid":"https://orcid.org/0000-0001-6832-2856"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jeremy Rouot","raw_affiliation_strings":["Inria, Sophia Antipolis - Mediterran\u00e9e Center, Sophia Antipolis, France","Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Sophia Antipolis - Mediterran\u00e9e Center, Sophia Antipolis, France","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107838661"],"corresponding_institution_ids":["https://openalex.org/I177064439","https://openalex.org/I4210106545","https://openalex.org/I4210112333"],"apc_list":null,"apc_paid":null,"fwci":0.2912,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67285356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"80","issue":null,"first_page":"1608","last_page":"1613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11279","display_name":"Lanthanide and Transition Metal Complexes","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spins","display_name":"Spins","score":0.8183836936950684},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.8044539093971252},{"id":"https://openalex.org/keywords/bloch-equations","display_name":"Bloch equations","score":0.7839603424072266},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5017037391662598},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.42866450548171997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4208071529865265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37643417716026306},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3641952872276306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3389526903629303},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32285070419311523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2557634711265564},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15072771906852722},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14135822653770447}],"concepts":[{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.8183836936950684},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.8044539093971252},{"id":"https://openalex.org/C142951617","wikidata":"https://www.wikidata.org/wiki/Q651707","display_name":"Bloch equations","level":2,"score":0.7839603424072266},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5017037391662598},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.42866450548171997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4208071529865265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37643417716026306},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3641952872276306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3389526903629303},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32285070419311523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2557634711265564},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15072771906852722},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14135822653770447},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2016.7798495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01287290v4","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01287290","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":"55th IEEE Conference on Decision and Control - CDC, Dec 2016, Las Vegas, United States. pp.1608-1613, &#x27E8;10.1109/CDC.2016.7798495&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W67307272","https://openalex.org/W568572130","https://openalex.org/W598851308","https://openalex.org/W1587799944","https://openalex.org/W1973010030","https://openalex.org/W1982814905","https://openalex.org/W1983894121","https://openalex.org/W1993358930","https://openalex.org/W2010586699","https://openalex.org/W2033971769","https://openalex.org/W2086588477","https://openalex.org/W2114265982","https://openalex.org/W2334591577","https://openalex.org/W2501142942"],"related_works":["https://openalex.org/W2962746246","https://openalex.org/W1967384683","https://openalex.org/W4292923857","https://openalex.org/W4302321938","https://openalex.org/W2618936491","https://openalex.org/W4285534277","https://openalex.org/W162218241","https://openalex.org/W1989531755","https://openalex.org/W3209004265","https://openalex.org/W2031281152"],"abstract_inverted_index":{"The":[0,37],"optimal":[1,34,44,56],"control":[2,35,45],"of":[3,6,12,15,54],"an":[4,13],"ensemble":[5,14],"Bloch":[7],"equations":[8],"describing":[9],"the":[10,18,27,43,47,52],"evolution":[11],"spins":[16],"is":[17,49],"mathematical":[19],"model":[20],"used":[21],"in":[22,51],"Nuclear":[23],"Resonance":[24],"Imaging":[25],"and":[26,46],"associated":[28],"costs":[29],"lead":[30],"to":[31,41,60],"consider":[32],"Mayer":[33],"problems.":[36],"Maximum":[38],"Principle":[39],"allows":[40],"parameterize":[42],"dynamics":[48],"analyzed":[50],"framework":[53],"geometric":[55],"control.":[57],"This":[58],"leads":[59],"numerical":[61],"implementations":[62],"or":[63],"suboptimal":[64],"controls":[65],"using":[66],"averaging":[67],"principle.":[68]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
