{"id":"https://openalex.org/W7139960065","doi":"https://doi.org/10.48550/arxiv.2603.18236","title":"Delay-Robust Primal-Dual Dynamics for Distributed Optimization","display_name":"Delay-Robust Primal-Dual Dynamics for Distributed Optimization","publication_year":2026,"publication_date":"2026-03-18","ids":{"openalex":"https://openalex.org/W7139960065","doi":"https://doi.org/10.48550/arxiv.2603.18236"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.18236","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18236","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.18236","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026940129","display_name":"G\u00f6k\u00e7en Devlet \u015een","orcid":"https://orcid.org/0000-0002-9556-6247"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u015een, G\u00f6k\u00e7en Devlet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003331812","display_name":"Juan E. Machado","orcid":"https://orcid.org/0000-0003-4753-4133"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Machado, Juan E.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059368379","display_name":"G\u00fclay \u00d6ke G\u00fcnel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00fcnel, G\u00fclay \u00d6ke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5130247373","display_name":"Johannes Schiffer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schiffer, Johannes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.7907999753952026,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.7907999753952026,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.03280000016093254,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.03180000185966492,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/robustness","display_name":"Robustness (evolution)","score":0.6172000169754028},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5615000128746033},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5185999870300293},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47440001368522644},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4722000062465668},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.45680001378059387},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4115999937057495}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6172000169754028},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5615000128746033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5410000085830688},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5185999870300293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49559998512268066},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47440001368522644},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4722000062465668},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.45680001378059387},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37279999256134033},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.31790000200271606},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.30550000071525574},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.28780001401901245},{"id":"https://openalex.org/C2987333383","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process dynamics","level":3,"score":0.2685000002384186},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26820001006126404},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.25429999828338623}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.18236","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18236","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":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.18236","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.18236","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":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":{"Continuous-time":[0],"primal-dual":[1],"gradient":[2],"dynamics":[3,22,43],"(PDGD)":[4],"is":[5,44,96],"an":[6,52],"ubiquitous":[7],"approach":[8,112],"for":[9,71],"dynamically":[10],"solving":[11],"constrained":[12],"distributed":[13,18],"optimization":[14],"problems.":[15],"Yet,":[16],"the":[17,21,48,62,76,88,99,106,115],"nature":[19],"of":[20,78,90,110],"makes":[23],"it":[24],"prone":[25],"to":[26,114],"communication":[27],"uncertainties,":[28],"especially":[29],"time":[30],"delays.":[31,93,121],"To":[32],"mitigate":[33],"this":[34,72],"effect,":[35],"we":[36,66],"propose":[37],"a":[38,57],"delay-robust":[39],"continuous-time":[40],"PDGD.":[41],"The":[42,94],"obtained":[45],"by":[46],"augmenting":[47],"standard":[49,116],"PDGD":[50,117],"with":[51],"auxiliary":[53],"state":[54],"coupled":[55],"through":[56],"gain":[58,73],"matrix,":[59],"while":[60],"preserving":[61],"optimal":[63],"solution.":[64],"Then,":[65],"present":[67],"sufficient":[68],"tuning":[69],"conditions":[70],"matrix":[74,80],"in":[75,87],"form":[77],"linear":[79],"inequalities,":[81],"which":[82],"ensure":[83],"uniform":[84],"asymptotic":[85],"stability":[86],"presence":[89],"bounded,":[91],"time-varying":[92,120],"criterion":[95],"derived":[97],"via":[98],"Lyapunov-Krasovskii":[100],"method.":[101],"A":[102],"numerical":[103],"example":[104],"illustrates":[105],"improved":[107],"delay":[108],"robustness":[109],"our":[111],"compared":[113],"under":[118],"large,":[119]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-21T00:00:00"}