An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type
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 re...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/3518988 |
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| Summary: | 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. |
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| ISSN: | 2314-4785 |