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math.OC2024
Optimal synthesis control for evolution equations subject to nonlocal inputs
Paolo Acquistapace, Francesca Bucci
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. Followi…
math.OC2023
Riccati-based solution to the optimal control of linear evolution equations with finite memory
Paolo Acquistapace, Francesca Bucci
In this article we study the optimal control problem with quadratic functionals for a linear Volterra integro-differential equation in Hilbert spaces. With the finite history seen…
math.OC2012
A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control
Paolo Acquistapace, Francesca Bucci, Irena Lasiecka
We study the infinite horizon Linear-Quadratic problem and the associated algebraic Riccati equations for systems with unbounded control actions. The operator-theoretic context is…