This book is mainly a collection of lecture notes for the 2021 LIASFMA International Graduate School on Applied Mathematics. It provides the readers some important results on the theory, the methods, and the application in the field of 'Control of Partial Differential Equations'. It is useful for researchers and graduate students in mathematics or control theory, and for mathematicians or engineers with an interest in control systems governed by partial differential equations.

Contents:

• Preface


• A Short Introduction to Carleman Estimates (Jérémi Dardé, Sylvain Ervedoza)


• Saturated Boundary Stabilization of Partial Differential Equations Using Control-Lyapunov Functions (Hugo Lhachemi, Christophe Prieur)


• State Observation for Stochastic Partial Differential Equations (Qi Lü)


• Uniqueness Theorems Under Kalman's Rank Condition and Asymptotic Synchronization for Second Order Dissipative Systems (Tatsien Li, Bopeng Rao)

Readership: Graduate students and researchers in mathematics or control theory.

Key Features:

• Contributions by leading experts in control of partial differential equations


• Contains both basic theory and the forefront research directions in control theory and partial differential equations