Introduction to control of systems described by partial differential equations (PDEs).
Lyapunov stability for PDE systems.
Eigenvalues, eigenfunctions, and exact solutions to PDEs.
Boundary control design for reaction-diffusion PDEs via backstepping.
Boundary observer-based output-feedback control design for reaction-diffusion PDEs via backstepping.
Boundary control design for hyperbolic PDEs and wave equations.
Motion planning for selected classes of PDE systems.
Control of PDE-ODE (Ordinary Differential Equation) cascades and of systems with input delay.
Predictor feedbacks for linear systems with input delays.
Nonlinear predictor feedbacks.
Introduction to adaptive control of delay and PDE systems.
Applications of PDE control designs.
Ιmplementations of PDE control designs.
Grade: 50% homework; 50% final exam.