{"id":"https://openalex.org/W7123340987","doi":"https://doi.org/10.1109/cdc57313.2025.11312535","title":"The Discrete-time Internal Model Principle of Time-varying Optimization","display_name":"The Discrete-time Internal Model Principle of Time-varying Optimization","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123340987","doi":"https://doi.org/10.1109/cdc57313.2025.11312535"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312535","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/A5051265052","display_name":"Gianluca Bianchin","orcid":"https://orcid.org/0000-0002-3234-5535"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gianluca Bianchin","raw_affiliation_strings":["ICTEAM Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM Institute","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035128434","display_name":"Bryan Van Scoy","orcid":"https://orcid.org/0000-0002-8286-2311"},"institutions":[{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bryan van Scoy","raw_affiliation_strings":["Miami University,Dept. of Electrical and Computer Engineering,OH,USA,45056"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Miami University,Dept. of Electrical and Computer Engineering,OH,USA,45056","institution_ids":["https://openalex.org/I83328450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9042,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81845173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3958","last_page":"3963"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.513700008392334,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.513700008392334,"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":0.08619999885559082,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.05139999836683273,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6236000061035156},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5752999782562256},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5590999722480774},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5232999920845032},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5216000080108643},{"id":"https://openalex.org/keywords/internal-model","display_name":"Internal model","score":0.48260000348091125},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.2913999855518341}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6236000061035156},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.576200008392334},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5752999782562256},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5590999722480774},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5232999920845032},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5216000080108643},{"id":"https://openalex.org/C28427503","wikidata":"https://www.wikidata.org/wiki/Q13580300","display_name":"Internal model","level":3,"score":0.48260000348091125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4611999988555908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4478999972343445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33239999413490295},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.26809999346733093},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312535","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W114979488","https://openalex.org/W1491720843","https://openalex.org/W2041086749","https://openalex.org/W2054100465","https://openalex.org/W2129160848","https://openalex.org/W2149087996","https://openalex.org/W2255965710","https://openalex.org/W2513180554","https://openalex.org/W2962917190","https://openalex.org/W3039791234","https://openalex.org/W3174613136","https://openalex.org/W3200275578","https://openalex.org/W4213264637","https://openalex.org/W4242450404","https://openalex.org/W4294690601","https://openalex.org/W4383369052","https://openalex.org/W4385062967"],"related_works":[],"abstract_inverted_index":{"Time-varying":[0],"optimization":[1,59],"problems":[2],"arise":[3],"in":[4,18],"a":[5,29,107,116],"variety":[6],"of":[7,23,37,57,68,88,96,99,134,147],"engineering":[8],"applications.":[9],"The":[10],"available":[11],"information":[12],"about":[13],"how":[14],"the":[15,21,35,49,54,66,86,97,135,143],"problem":[16,31,75,98],"changes":[17],"time":[19],"dictates":[20],"types":[22,36],"algorithms":[24,60,70],"that":[25,40,91,121,124],"are":[26],"applicable":[27],"to":[28,110,129,141],"particular":[30],"as":[32,34,71,142],"well":[33],"convergence":[38],"guarantees":[39],"may":[41],"be":[42],"proven.":[43],"In":[44],"this":[45],"paper,":[46],"we":[47,79,105,119,139],"explore":[48],"fundamental":[50,117],"properties":[51],"shared":[52],"by":[53],"entire":[55],"class":[56],"gradient-based":[58],"for":[61,76,85],"time-varying":[62,148],"optimization.":[63,149],"By":[64],"casting":[65],"design":[67,108],"such":[69,112],"an":[72,89,94,113,131],"output":[73],"regulation":[74],"dynamical":[77],"systems,":[78],"provide":[80,106],"necessary":[81],"and":[82],"sufficient":[83],"conditions":[84,103],"existence":[87],"algorithm":[90,123],"asymptotically":[92],"tracks":[93],"optimizer":[95],"interest.":[100],"When":[101],"these":[102],"hold,":[104],"procedure":[109],"construct":[111],"algorithm.":[114],"As":[115],"limitation,":[118],"show":[120],"any":[122],"achieves":[125],"exact":[126],"tracking":[127],"needs":[128],"incorporate":[130],"internal":[132,144],"model":[133,145],"temporal":[136],"variation,":[137],"which":[138],"refer":[140],"principle":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-14T00:00:00"}
