{"id":"https://openalex.org/W2948751856","doi":"https://doi.org/10.1109/lcsys.2019.2920425","title":"On the Mixed-Integer Linear-Quadratic Optimal Control With Switching Cost","display_name":"On the Mixed-Integer Linear-Quadratic Optimal Control With Switching Cost","publication_year":2019,"publication_date":"2019-06-03","ids":{"openalex":"https://openalex.org/W2948751856","doi":"https://doi.org/10.1109/lcsys.2019.2920425","mag":"2948751856"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2019.2920425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2920425","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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/A5069602662","display_name":"Alberto De Marchi","orcid":"https://orcid.org/0000-0002-3545-6898"},"institutions":[{"id":"https://openalex.org/I40527276","display_name":"Universit\u00e4t der Bundeswehr M\u00fcnchen","ror":"https://ror.org/05kkv3f82","country_code":"DE","type":"education","lineage":["https://openalex.org/I1315109972","https://openalex.org/I40527276","https://openalex.org/I4387152969"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alberto De Marchi","raw_affiliation_strings":["Department of Aerospace Engineering, Bundeswehr University Munich, Neubiberg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3545-6898","affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, Bundeswehr University Munich, Neubiberg, Germany","institution_ids":["https://openalex.org/I40527276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069602662"],"corresponding_institution_ids":["https://openalex.org/I40527276"],"apc_list":null,"apc_paid":null,"fwci":2.3137,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.8944119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"990","last_page":"995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9905999898910522,"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":0.9905999898910522,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9483000040054321,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11625","display_name":"Abdominal vascular conditions and treatments","score":0.9050999879837036,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6667449474334717},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.65627521276474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6381801962852478},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6019306182861328},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.5853872895240784},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.568749189376831},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5410628914833069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5287252068519592},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.46634358167648315},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44168734550476074},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42547258734703064},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.40632492303848267},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3753153681755066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3567020297050476},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32043659687042236}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6667449474334717},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.65627521276474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6381801962852478},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6019306182861328},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.5853872895240784},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.568749189376831},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5410628914833069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5287252068519592},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.46634358167648315},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44168734550476074},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42547258734703064},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.40632492303848267},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3753153681755066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3567020297050476},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32043659687042236},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2019.2920425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2920425","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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":33,"referenced_works":["https://openalex.org/W177423371","https://openalex.org/W634094752","https://openalex.org/W1588628884","https://openalex.org/W1965442989","https://openalex.org/W1994291732","https://openalex.org/W2021848705","https://openalex.org/W2035345497","https://openalex.org/W2050952501","https://openalex.org/W2089549742","https://openalex.org/W2093545205","https://openalex.org/W2100556411","https://openalex.org/W2109407178","https://openalex.org/W2133304166","https://openalex.org/W2153618238","https://openalex.org/W2156464932","https://openalex.org/W2162000525","https://openalex.org/W2166379117","https://openalex.org/W2189569251","https://openalex.org/W2334591577","https://openalex.org/W2391317397","https://openalex.org/W2481121431","https://openalex.org/W2514942416","https://openalex.org/W2569918546","https://openalex.org/W2796095528","https://openalex.org/W2903465896","https://openalex.org/W2913535645","https://openalex.org/W2972681909","https://openalex.org/W3100548955","https://openalex.org/W4205213118","https://openalex.org/W4244393449","https://openalex.org/W6682805322","https://openalex.org/W6721548420","https://openalex.org/W6767853298"],"related_works":["https://openalex.org/W2924623028","https://openalex.org/W4288411600","https://openalex.org/W2890257643","https://openalex.org/W1495503294","https://openalex.org/W2161149697","https://openalex.org/W3155224553","https://openalex.org/W255338418","https://openalex.org/W2340378315","https://openalex.org/W2013038594","https://openalex.org/W1604175135"],"abstract_inverted_index":{"This":[0],"letter":[1,123],"concerns":[2],"the":[3,18,63,87,100,119,139,142],"optimal":[4,31,55],"control":[5,15,32],"of":[6,29,50,70,138],"a":[7,38,47,111,135],"continuous-time":[8],"dynamical":[9],"system":[10],"via":[11,110],"continuous":[12,54],"and":[13,52,76,116,130],"discrete-valued":[14],"variables,":[16],"where":[17],"objective":[19,93],"functional":[20],"also":[21,146],"accounts":[22],"for":[23,46,62,98],"state-independent":[24],"switching":[25,43,64,140],"costs.":[26],"The":[27],"class":[28],"mixed-integer":[30,151],"problems":[33],"(OCPs)":[34],"is":[35,66,103],"interpreted":[36],"as":[37],"bilevel":[39,89],"problem,":[40],"involving":[41],"both":[42],"times":[44],"optimization,":[45],"given":[48],"sequence":[49],"modes,":[51],"purely":[53],"control.":[56],"Additionally,":[57],"an":[58],"original":[59],"nonconvex":[60],"formulation":[61,137],"costs":[65],"introduced,":[67],"in":[68],"terms":[69],"cardinality,":[71],"inspired":[72],"by":[73],"sparse":[74],"optimization":[75],"compressed":[77],"sensing":[78],"techniques.":[79],"We":[80],"then":[81],"adopt":[82],"proximal":[83,101,112],"algorithms":[84],"to":[85,148],"solve":[86],"resulting":[88],"OCP":[90],"with":[91,118,134],"composite":[92],"function.":[94],"An":[95],"efficient":[96],"routine":[97],"evaluating":[99],"operator":[102],"developed.":[104],"Two":[105],"examples":[106],"are":[107],"numerically":[108],"solved":[109],"gradient":[113],"method,":[114],"discussed":[115],"compared":[117],"literature.":[120],"Although":[121],"this":[122],"focuses":[124],"on":[125],"switched":[126],"linear":[127],"time-varying":[128],"dynamics":[129],"quadratic":[131],"cost":[132],"functionals":[133],"specific":[136],"costs,":[141],"proposed":[143],"approach":[144],"may":[145],"apply":[147],"more":[149],"general":[150],"OCPs.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}