Control Theory for PDEs
Francesco FERRANTE ( ).Class schedule
Lesson | Topic |
---|---|
Some recalls in the analysis of PDE | |
Differential calculus; derivation of a PDE; classification of infinite dimensional systems. | |
Semigroup theory | |
Strongly continuous semigroups; contraction semigroups. | |
Control and Observation of some particular PDEs | |
Transport equation; heat equation. | |
Stability and Stabilization | |
Definitions; Lyapunov functions. |
Class textbooks
- J.-M. Coron, "Control and nonlinearity", Mathematical Surveys and Monographs, 136, 2007.
- R. F. Curtain and H. Zwart, "An Introduction to Infinite-Dimensional Linear Systems Theory", vol. 21 of Texts in Applied Mathematics, Springer-Verlag, New York, 1995.
- Z.-H. Luo, B.-Z. Guo, and O. Morgul, "Stability and Stabilization of Infinite Dimensional Systems with Applications", Communications and Control Engineering, Springer-Verlag, London, 1999.
- A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations", Springer-Verlag, New York, 1983.
- M. Tucsnak and G. Weiss, "Observation and Control for Operator Semigroups", Birkhäuser, 2009.
Grading Policy
Homeworks: 20 %
Final Exam: 80 %