1 citations · 1 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
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…
On the infinitesimal generator of an optimal state semigroup
Paolo Acquistapace, Francesca Bucci
In this article we fully describe the domain of the infinitesimal generator of the optimal state semigroup which arises in the theory of the linear-quadratic problem for a specific…
Uniqueness for Riccati equations with unbounded operator coefficients
Paolo Acquistapace, Francesca Bucci
In this article we address the issue of uniqueness for differential and algebraic operator Riccati equations, under a distinctive set of assumptions on their unbounded coefficients…
Minimum energy with infinite horizon: from stationary to non-stationary states
Paolo Acquistapace, Fausto Gozzi
We study a non standard infinite horizon, infinite dimensional linear-quadratic control problem arising in the physics of non-stationary states (see e.g. \cite{BDGJL4,BertiniGabrie…
Minimum energy for linear systems with finite horizon: a non-standard Riccati equation
Paolo Acquistapace, Fausto Gozzi
This paper deals with a non-standard infinite dimensional linear-quadratic control problem arising in the physics of non-stationary states (see e.g. [6]): finding the minimum energ…
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…