{"id":"https://openalex.org/W7127959570","doi":"https://doi.org/10.48550/arxiv.2602.04310","title":"A Path-Complete Approach for Optimal Control of Switched Systems","display_name":"A Path-Complete Approach for Optimal Control of Switched Systems","publication_year":2026,"publication_date":"2026-02-04","ids":{"openalex":"https://openalex.org/W7127959570","doi":"https://doi.org/10.48550/arxiv.2602.04310"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.04310","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125249392","display_name":"L\u00e9a Ninite","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ninite, L\u00e9a","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125200596","display_name":"Adrien Banse","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Banse, Adrien","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017266405","display_name":"Guillaume Berger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Berger, Guillaume O.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125206241","display_name":"Rapha\u00ebl M. Jungers","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jungers, Rapha\u00ebl M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13336397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.8557999730110168,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.8557999730110168,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.03400000184774399,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.03370000049471855,"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/quadratic-equation","display_name":"Quadratic equation","score":0.5281999707221985},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.51910001039505},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49050000309944153},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48660001158714294},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4767000079154968},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.47189998626708984},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46239998936653137},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4307999908924103},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4253999888896942},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4129999876022339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5562000274658203},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5281999707221985},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.51910001039505},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49050000309944153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4900999963283539},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48660001158714294},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4307999908924103},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4253999888896942},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4129999876022339},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.40880000591278076},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.37299999594688416},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3707999885082245},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.3693000078201294},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3336000144481659},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3043000102043152},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2694999873638153},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.26499998569488525},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.2630000114440918},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2603999972343445}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.04310","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.04310","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.04310","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.04310","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,69,128],"study":[1],"the":[2,6,17,31,40,51,55,61,84,134,149],"problem":[3],"of":[4,9,42,54,63],"estimating":[5],"value":[7,56,85],"function":[8,57],"discrete-time":[10],"switched":[11,18,112],"systems":[12,114,155],"under":[13],"arbitrary":[14],"switching.":[15],"Unlike":[16],"LQR":[19],"problem,":[20],"where":[21,33],"both":[22],"inputs":[23,159],"and":[24,106,123,137,160],"mode":[25,44],"sequences":[26,45],"are":[27,93],"optimized,":[28],"we":[29,118,147],"consider":[30],"case":[32],"switching":[34],"is":[35],"exogenous.":[36],"For":[37,109],"such":[38],"systems,":[39],"number":[41],"possible":[43],"grows":[46],"exponentially":[47],"with":[48,115,156],"time,":[49],"making":[50],"exact":[52],"computation":[53],"intractable.":[58],"This":[59],"motivates":[60],"development":[62],"tractable":[64,120],"bounds":[65,82,136],"that":[66,99],"approximate":[67],"it.":[68],"propose":[70],"a":[71,96],"novel":[72],"framework,":[73,89],"based":[74],"on":[75,83,164],"path-complete":[76],"graphs,":[77],"for":[78,111,133,154],"constructing":[79],"computable":[80],"upper":[81,135],"function.":[86],"In":[87],"this":[88],"multiple":[90],"quadratic":[91,116],"functions":[92],"combined":[94],"through":[95],"directed":[97],"graph":[98,144],"encodes":[100],"dynamic":[101],"programming":[102],"inequalities,":[103],"yielding":[104],"convex":[105],"sound":[107],"formulations.":[108],"example,":[110],"linear":[113],"cost,":[117],"derive":[119],"LMI-based":[121],"formulations":[122],"provide":[124],"computational":[125],"complexity":[126],"bounds.":[127],"further":[129],"establish":[130],"approximation":[131],"guarantees":[132],"show":[138],"asymptotic":[139],"non-conservativeness":[140],"using":[141],"concepts":[142],"from":[143],"theory.":[145],"Finally,":[146],"extend":[148],"approach":[150],"to":[151],"controller":[152],"synthesis":[153],"affine":[157],"control":[158],"demonstrate":[161],"its":[162],"effectiveness":[163],"numerical":[165],"examples.":[166]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2026-02-07T00:00:00"}