3 papers
math.OC2025
Linear quadratic control of parabolic-like evolutions with memory of the inputs
Paolo Acquistapace, Francesca Bucci
A study of the linear quadratic (LQ) control problem on a finite time interval for a model equation in Hilbert spaces which comprehends the memory of the inputs was performed recen…
math.OC2024
An optimal uniqueness result for Riccati equations arising in abstract parabolic control problems
Paolo Acquistapace, Francesco Bartaloni
An abstract nonautonomous parabolic linear-quadratic regulator problem with very general final cost operator P_T is considered, subject to the same assumptions under which a classi…
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…