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 %


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