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

On September 7th – 9th, 2022 will be held the 4th. edition of the IFAC CPDE 2022 Workshop on Control of Systems Governed by Partial Differential Equations at CAU, Kiel University, Christian-Albrechts-Universität zu Kiel in Kiel, Germany.

Our Head Prof. Enrique Zuazua and our postdoctoral researcher Daniël Veldman will give the course:

„A Practical Introduction to Control, Numerics and Machine Learning“

This course is intended to present a general introduction and some recent developments on the interface between Control, Numerics, and Machine Learning (Supervised Learning and Universal Approximation):

Day 1

The first day is devoted to classical Control Theory with an emphasis on Pontryagin’s maximum principle, which is of great theoretical interest but is also of crucial importance for the efficient numerical computation of optimal controls. This importance is illustrated by an industrial application from precision engineering, in which a thermomechanical model needs to be controlled with nanometer accuracy.

Day 2

On the second day, we approach Supervised Learning from a dynamical systems perspective. We show that the training of Deep Residual Neural Networks (ResNets) and their continuous time counterparts (Neural ODEs) have close connections with classical (optimal) control theory and that these similarities are also visible in the numerics. It is demonstrated how these ideas lead to efficient numerical algorithms for Supervised Learning with deep ResNets (with an emphasis on classification problems). We also discuss the simultaneous or ensemble controllability property of ResNets, which shows that Deep ResNets possess the Universal Approximation property, a property that linear control systems do not have.

Day 3

The third day is devoted to more advanced topics such as the turnpike property in deep learning, momentum ResNets and Neural Transport Equations, and stochastic algorithms like Stochastic Gradient Descent and the Random Batch Method.

Every day is concluded by a practical session in which the theory discussed that day is applied and implemented in MATLAB. A basic working knowledge of MATLAB (or similar software) is therefore recommended.

The IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE) is a series of workshops addressing recent developments in the control of the dynamical systems governed by different classes of partial differential equations.

The workshop will address new and state-of-the-art developments in modeling and control of distributed parameter systems and their application. This covers approaches and techniques for the modeling, analysis, control, and observer/estimator design for systems governed by partial differential equations and includes (but is not limited to) methods such as differential geometric and algebraic approaches, semigroup and operator theory, Lyapunov-based and backstepping techniques, passivity and dissipativity, optimal control, controllability and observability analysis, stability theory, model reduction for control, computational methods, real-time control, actuator and sensor placement, experimental design.

Important dates

-Mon. March 21, 2022. Deadline for Invited Session Proposals
-Thu. March 24, 2022. Deadline for Paper Submission (Invited and Contributed)
-Tue. May 31, 2022. Notification of Paper Acceptance/Rejection
-Fri. July 1, 2022. Final Paper Submission
-Wed-Fri. September 7-9, 2022. IFAC CPDE 2022 Workshop

Attending this Event

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Plenary Speakers

Meet plenary speakers at IFAC CPDE 2022 Workshop

Program

Check the details on the program at IFAC CPDE 2022 Workshop

|| Find complete information at the official page of the event