Abstract : This is the notes of a FAP 2005 course (for CTS PhD and posdoc students, and for researchers) about controllability of partial differential equations, with the following items: # m-dissipative operators in a Hilbert space. # Semi-group theory in a Banach space. # Theorems of Hille-Yosida and Lumer-Phillips. # Stability. Main types of solutions. # Examples: heat equation, wave equation. # Nonlinear parabolic problems. # Controllability and observability of linear evolution problems. # HUM theory. # Riccati equation in infinite dimension. # Controllability of the heat and wave equations. # Other examples.
https://hal.archives-ouvertes.fr/hal-00086402
Contributor : Emmanuel Trélat <>
Submitted on : Wednesday, July 19, 2006 - 1:36:01 PM Last modification on : Wednesday, September 16, 2020 - 4:44:09 PM Long-term archiving on: : Tuesday, April 6, 2010 - 12:15:38 AM
Yacine Chitour, Emmanuel Trélat. Controllability of partial differential equations. Lecture Notes in Control and Information Sciences 328. Advanced Topics in Control Systems Theory, Springer, pp.171--198, 2006, ⟨10.1007/11583592_5⟩. ⟨hal-00086402⟩