An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type

Longxu Li and Huiting Lu

Journal of Mathematics, 2025, vol. 2025, 1-15

Abstract: In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control-state pairs under relaxed regularity assumptions. Subsequently, we extend these results to establish the existence of optimal control trajectories for a generalized Lagrangian formulation, incorporating nonlocal dynamics and time-dependent constraints. The analysis emphasizes the interplay between compactness criteria and measurable selection techniques in infinite-dimensional settings.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3518988

DOI: 10.1155/jom/3518988

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