Differential Equations and Nonlinear Analysis Seminar: Francesca Bucci, Università degli Studi di Firenze, Italy, Riccati theory in the realm of PDE’s: state of the art and recent advances in the optimal control of evolution equations with memory
ZoomThe well-posedness of Riccati equations plays a central role in the study of the optimal control problem with quadratic functionals for linear partial differential equations (PDEs). Indeed, it allows the synthesis of the optimal control by solving the Riccati equation corresponding to the minimization problem, and then of the closed-loop equation. In this lecture I…