Optimal synthesis control for evolution equations subject to nonlocal inputs

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 m...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Acquistapace, Paolo, Bucci, Francesca
Format: Article
Language:English
Subjects:
Closed loops
Differential equations
Distributed memory
Linear evolution equations
Optimal control
Online Access:Get full text
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Summary: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.
ISSN:2331-8422