Course: A Practical Introduction to Control, Numerics, and Machine Learning (IFAC CPDE 2022)

Course: A Practical Introduction to Control, Numerics, and Machine Learning (IFAC CPDE 2022)

Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer 2022 (IFAC CPDE 2022 Course) _ This course gives a general introduction and some recent developments on the interface between Control, Numerics, and Machine Learning (Supervised Learning and Universal Approximation). The first part of the course is a general introduction to important ideas in control theory, with…

Course: Control and optimization for non-local and fractional differential equations

Course: Control and optimization for non-local and fractional differential equations

Course: Control and optimization for non-local and fractional differential equations Period: Summer 2022 (August 1st – August 12nd, 2022) I. Introduction to Control Theory • Lecture 1: Introduction to Control Theory • Lecture 2: Introduction to Control Theory II. Non-local in time models • Lecture 3: ODE and ODE with memory • Lecture 4: Fractional calculus and fractional-in-time ODE and…

Master PDE course – Partial Differential Equations, Control and Numerics

Master PDE course – Partial Differential Equations, Control and Numerics

Master PDE course – Partial Differential Equations, Control and Numerics 01 Introduction Historical Introduction Introduction Control Design   02 Finite-dimensional linear control Finite-dimensional linear control     03 Basic Tools Gradient descent Methods An Algorithm for Density Background on Fourier Analysis Ingham’s inequality Adjoint Methods   04 Waves Waves, history and applications Finite difference schemes and numerical dispersion 1d-Waves: Propagation,…