{"id":"https://openalex.org/W7123358765","doi":"https://doi.org/10.1109/cdc57313.2025.11312770","title":"Beyond Quadratic Costs: A Bregman Divergence Approach to H <sub>\u221e</sub> Control","display_name":"Beyond Quadratic Costs: A Bregman Divergence Approach to H <sub>\u221e</sub> Control","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123358765","doi":"https://doi.org/10.1109/cdc57313.2025.11312770"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312770","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5092457017","display_name":"Joudi Hajar","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joudi Hajar","raw_affiliation_strings":["Caltech,Department of Electrical Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech,Department of Electrical Engineering","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093219798","display_name":"Reza Ghane","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reza Ghane","raw_affiliation_strings":["Caltech,Department of Electrical Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech,Department of Electrical Engineering","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005686377","display_name":"Babak Hassibi","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["Caltech,Department of Electrical Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech,Department of Electrical Engineering","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.956,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88807328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1761","last_page":"1768"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.2599000036716461,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.2599000036716461,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.14790000021457672,"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/T11236","display_name":"Control Systems and Identification","score":0.12800000607967377,"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/bregman-divergence","display_name":"Bregman divergence","score":0.8246999979019165},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5751000046730042},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5547000169754028},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5246000289916992},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5169000029563904},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.4970000088214874},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.49219998717308044},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4821000099182129},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.48030000925064087},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47519999742507935}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.8246999979019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6168000102043152},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5751000046730042},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5547000169754028},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5246000289916992},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.4970000088214874},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.49219998717308044},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4821000099182129},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.48030000925064087},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47519999742507935},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.44190001487731934},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4406000077724457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43209999799728394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43140000104904175},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.430400013923645},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4198000133037567},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.40849998593330383},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4059000015258789},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.40230000019073486},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40059998631477356},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.397599995136261},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.39010000228881836},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.3723999857902527},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3345000147819519},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.28060001134872437},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.27630001306533813},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.2741999924182892},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.2736999988555908},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2549999952316284}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312770","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6501295566558838}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W111418999","https://openalex.org/W1602891646","https://openalex.org/W1968315580","https://openalex.org/W2033468335","https://openalex.org/W2084810505","https://openalex.org/W2096765209","https://openalex.org/W2100827217","https://openalex.org/W2109640889","https://openalex.org/W2138458403","https://openalex.org/W2164957979","https://openalex.org/W2173261491","https://openalex.org/W2290664027","https://openalex.org/W2498694880","https://openalex.org/W3132170175","https://openalex.org/W4282588105","https://openalex.org/W4315472396","https://openalex.org/W4388675096","https://openalex.org/W4407950433","https://openalex.org/W7123355447","https://openalex.org/W7123358765"],"related_works":[],"abstract_inverted_index":{"In":[0],"the":[1,24,32,77,103,128,137,142,147],"past":[2],"couple":[3],"of":[4,63],"decades,":[5],"non-quadratic":[6],"convex":[7,21,69],"penalties":[8,70],"have":[9],"reshaped":[10],"signal":[11],"processing":[12],"and":[13,26,74,107,136,152,159],"machine":[14],"learning;":[15],"in":[16],"robust":[17,42],"control,":[18],"however,":[19],"general":[20],"costs":[22],"break":[23],"Riccati":[25,134],"value":[27],"function":[28],"structure":[29],"that":[30,46,82,96],"make":[31],"design":[33],"tractable.":[34],"Practitioners":[35],"thus":[36],"default":[37],"to":[38,67,127],"approximations,":[39],"heuristics":[40],"or":[41],"model":[43],"predictive":[44],"control":[45,62],"are":[47,111],"solved":[48],"online":[49],"for":[50],"short":[51],"horizons.":[52],"We":[53],"close":[54],"this":[55],"gap":[56],"by":[57,113],"extending":[58],"H<inf":[59,130,164],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60,131,165],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[61,132,166],"discrete-time":[64],"linear":[65,143],"systems":[66],"strictly":[68],"on":[71],"state,":[72],"input,":[73],"disturbance,":[75],"recasting":[76],"objective":[78],"with":[79,118,122,162],"Bregman":[80],"divergences":[81],"admit":[83],"a":[84,90,98,114,119],"completion-of-squares":[85],"decomposition.":[86],"The":[87],"result":[88],"is":[89,150],"closed-form,":[91],"time-invariant,":[92],"full-information":[93],"stabilizing":[94],"controller":[95,149],"minimizes":[97],"worst-case":[99],"performance":[100],"ratio":[101],"over":[102],"infinite":[104],"horizon.":[105],"Necessary":[106],"sufficient":[108],"existence/optimality":[109],"conditions":[110],"given":[112],"Riccati-like":[115],"identity":[116],"together":[117],"concavity":[120],"requirement;":[121],"quadratic":[123],"costs,":[124],"these":[125],"collapse":[126],"classical":[129],"algebraic":[133],"equation":[135],"associated":[138],"negative-semidefinite":[139],"condition,":[140],"recovering":[141],"central":[144],"controller.":[145],"Otherwise,":[146],"optimal":[148],"nonlinear":[151],"can":[153],"enable":[154],"safety":[155],"envelopes,":[156],"sparse":[157],"actuation,":[158],"bang\u2013bang":[160],"policies":[161],"rigorous":[163],"guarantees.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-14T00:00:00"}