- Docente: Angelo Favini
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 0436)
Learning outcomes
To present the main notions of control theory for differential equations in finite and infinite dimensions.
Course contents
Controllability of a dynamic linear system. Observability.
Stability and stabilizability. Examples of applications to
chemical, physical and economic problems. Quadratic optimal control
for linear systems. Riccati equation. Global solution of Riccati
equation. Optimal control: infinite time horizon. Singular
dynamical systems and quadratic optimal control.
Readings/Bibliography
A.Favini, Notes;
A.Bensoussan,G.Da Prato, M.Delfour, S.Mitter, Representation and control of infinite dimensional systems II, ed.Birkauser, 1992;
J.Zabczyck, Mathematical control theory, ed.Birkhauser, 1992;
E.Sontag, Mathematical control theory, Springer-Verlag,
1998.
Teaching methods
Lectures.
Assessment methods
Oral examination.
Office hours
See the website of Angelo Favini