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Controllability of partial differential equations

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.
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Contributor : Emmanuel Trélat Connect in order to contact the contributor
Submitted on : Wednesday, July 19, 2006 - 1:36:01 PM
Last modification on : Thursday, June 17, 2021 - 3:48:08 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 12:15:38 AM

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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⟩

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