Work

Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs

Year: 2025

Type: article

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 a perspective akin to the one taken in our previous research work on the LQ problem for integro-differential equations—which combines a variational approach to the minimization problem with the consideration of a suitably enlarged state space—we offer a full (closed-loop, Riccati-based) solution to the optimization problem.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02661-0

Authors: Paolo Acquistapace, Francesca Bucci

Institutions: University of Pisa, University of Florence

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Firenze