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Following a perspective akin to the one taken in our previous research work on the LQ problem for integro-differential equations\u2014which combines a variational approach to the minimization problem with the consideration of a suitably enlarged state space\u2014we offer a full (closed-loop, Riccati-based) solution to the optimization problem.<\/jats:p>","DOI":"10.1007\/s10957-025-02661-0","type":"journal-article","created":{"date-parts":[[2025,3,31]],"date-time":"2025-03-31T12:55:09Z","timestamp":1743425709000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs"],"prefix":"10.1007","volume":"205","author":[{"given":"Paolo","family":"Acquistapace","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2316-6954","authenticated-orcid":false,"given":"Francesca","family":"Bucci","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,3,28]]},"reference":[{"key":"2661_CR1","first-page":"2244","volume":"31","author":"JE Abi","year":"2021","unstructured":"Abi, J.E., Miller, E., Pham, H.: Linear-quadratic control for a class of stochastic Volterra equations: solvability and approximation. 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