{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:29:45Z","timestamp":1787322585863,"version":"build-2736575974"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2410944"],"award-info":[{"award-number":["DMS-2410944"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2026,6,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We consider risk-neutral optimal control problems governed by nonlinear ordinary differential equations with uncertain inputs. Using sample average approximation, we obtain optimal control problems with ensembles of deterministic dynamical systems. Leveraging techniques for metric entropy bounds, we derive nonasymptotic Monte Carlo\u2013type convergence rates for the ensemble-based optimal values and critical points. Our theoretical framework is validated through numerical simulations on a harmonic oscillator problem and a vaccination scheduling problem for epidemic control under model parameter uncertainty.<\/jats:p>","DOI":"10.1137\/24m1693076","type":"journal-article","created":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T09:00:32Z","timestamp":1780304432000},"page":"1631-1650","source":"Crossref","is-referenced-by-count":0,"title":["Convergence Rates for Ensemble-Based Solutions to Optimal Control of Uncertain Dynamical Systems"],"prefix":"10.1137","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-6324-8271","authenticated-orcid":true,"given":"Olena","family":"Melnikov","sequence":"first","affiliation":[{"name":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3601-3340","authenticated-orcid":true,"given":"Johannes","family":"Milz","sequence":"additional","affiliation":[{"name":"H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2026,6,1]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1990-0969514-3"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s12532-018-0139-4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9467-7"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01585113"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1090\/trans2\/114"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/188"},{"key":"ref7","volume-title":"Camb. Ser. Stat. Probab. Math. 40","author":"Gin\u00e9 E.","year":"2016"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144500371907"},{"key":"ref9","volume-title":"Ergeb. Math. Grenzgeb. 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