Optimal synthesis control for evolution equations subject to nonlocal inputs
Optimization and Control
2024-07-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.2407.15559,
title = {Optimal synthesis control for evolution equations subject to nonlocal inputs},
author = {Paolo Acquistapace and Francesca Bucci},
journal= {arXiv preprint arXiv:2407.15559},
year = {2024}
}
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27 pages