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arXiv · 2407.15559

Optimal synthesis control for evolution equations subject to nonlocal inputs

Paolo Acquistapace·Francesca Bucci
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Abstract

We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following the perspective taken in our previous research work on the LQ problem for integro-differential equations, where the memory term -- here involving the control actions -- is seen as a component of the state, we offer a full (closed-loop, Riccati-like) solution to the optimization problem.

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Paolo Acquistapace, Francesca Bucci. 2024-07-22. Optimal synthesis control for evolution equations subject to nonlocal inputs. https://arxiv.org/abs/2407.15559

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