From Optimal Control to Reinforcement Learning: A Motivating Example from the Perspective of Linear Quadratic Regulators Fredson Silva De Souza Aguiar, Visiting Master Student. University of Sorbonne Paris Nord Repository with code and trained models available at FAU DCN-AvH GitHub: https://github.com/DCN-FAU-AvH/oc_rl_lqr We motivate the study of interconnections and relevant results […]
Akademy
41 posts
Date: Mon.-Wed. June 22 – 24, 2026 Event: MLPDES26, Machine Learning and PDEs Workshop (2026) Host: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Event type: Hybrid (On-site / Online) #MLPDES26 Book of Abstracts *Recordings available at: https://mod.fau.eu/mlpdes26/ This Spring, our FAU MoD, Research Center […]
Master Thesis: “Robust Creep Control Algorithm with motion shaping and tracking for passenger vehicles” Author: Dante Amor Supervisors: Prof. Enrique Zuazua, Zhengping Ji Date: May, 2026 This thesis aims to provide a new architecture that provides torque commands to control the vehicle, not only reaching a target velocity, but by […]
Introduction to Control and Machine Learning Master Course – FAU, Friedrich-Alexander-Universität Erlangen–Nürnberg This course explores the deep connections between control theory, dynamical systems, and modern machine learning, highlighting how mathematical tools developed for the analysis of differential equations can help understand and design modern AI systems. Course Overview The course […]
Event: Benasque XI Workshop-Summer School 2026: XI Partial Differential Equations, Optimization, Numerics, and Machine Learning Date: Sun.-Fri. August 23 – September 04, 2026 Event type: On-site (Benasque) Registration: https://benasque.org/2026pde/cgi-bin/appl.pl Deadline for applications: Wed. June 10, 2026 Next Summer, on August 23 – September 04, 2026 will be held the XI […]
Master Thesis: “Development of a Modular Multi-Agent System Architecture for Enhanced Flexibility and Scalability” Author: Greshma Shaji Supervisors: Ziqi Wang, Prof. Enrique Zuazua, Prof. Frauke Liers Date: November, 2025 See all details at master thesis: “Development of a Modular Multi-Agent System Architecture for Enhanced Flexibility and Scalability”, by Greshma Shaji […]
Event: A workshop in Speinshart: Scientific center for AI and SuperTech Date: Tue.-Sun. November 11 – 16, 2025 Event type: On-site From November 11 – 16, 2025, Kloster Speinshart hosted a workshop bringing together researchers, students, and industry professionals to explore the intersections of mathematics, control theory, machine learning, and […]
Next Thursday September 25, 2025 our team member Martín Hernández will present his PhD Thesis on: “From Optimal Control to Random and Neural Network Approximation” Supervisor: Prof. Enrique Zuazua, FAU – Friedrich Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. This talk presents contributions grounded in control and computation. First, we focus on long-time […]
On October 21-23, 2024 Prof. Enrique Zuazua will give an online course on Introduction to Optimal Control and Machine Learning organized by IMUS, Institute of Mathematics of the University of Seville. VIDEO / RECORDING https://www.youtube.com/watch?v=RihnGJnbqyw&list=PLl-lD4Gje_wDkw6hV7hHBEQ0oZY_3YFl8 In this series of lectures, we will introduce both Control Theory and Machine Learning (ML), […]
Date: October 7, 2024 Event: 100th Session. Seminar in PDEs and Applied Mathematics On October 7th, Prof. Enrique Zuazua did talk as a plenary speaker of the Seminar in PDEs and Applied Mathematics – “Celebration of Session 100th” organized (online) on October 7-10, 2024. Abstract. Systems control, or cybernetics, a […]
Date: July 2024 Course: Control and Machine Learning Lecturer: Prof. Enrique Zuazua Recordings S01: Introduction to Control Theory S02: Introduction: Calculus of Variations, Controllability and Optimal Design S03: Introduction: Optimization and Perpectives S04: Finite-dimensional Control Systems (1) S05: Finite-dimensional Control Systems (2) and Gradient-descent methods (1) S06: Gradient-descent methods (2), […]
On March 19 – 21, 2024, Prof. Enrique Zuazua will give a lecture Series on Introduction to Optimal Control and Machine Learning at the 5th Edition of the Open Doctoral Lecture Series organized by the UM6P’s VANGUARD Center in collaboration with Université Cadi AYYAD, University Côte d’Azur and GE2MI. Abstract. […]
From February 12 – 15, 2024 Prof. Enrique Zuazua will talk on Inverse design for conservation laws and Hamilton-Jacobi equations at the “Recent advances in Control Theory of PDE systems” program organized on February 12-23, 2024 by Shirshendu Chowdhury (IISER Kolkata, India), Debayan Maity (TIFR CAM, India) and Debanjana Mitra […]
Analysis, control, and singular limits for hyperbolic conservation laws Author: Nicola de Nitti Date: Monday July 24, 2023 PhD Thesis: Analysis, control, and singular limits for hyperbolic conservation laws (July 24, 2023) Abstract. The main focus of this thesis is on the study of singular limits related to scalar conservation […]
Math Crash Course FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: 2023 _ The math final exams are coming up and you’re still unsure? Don’t worry, with our Math Abi Crash Course, we can support you in mastering the Math Abi! In this course, we will work together on past year’s […]
CML: Control, Machine Learning and Numerics Professors: Enrique Zuazua, Yongcun Song Period: Summer Semester 2022/2023 Date: April to July 2023 ECTS: 10 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_5073175
Course: Wave Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, , Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Introduction to control and machine learning Professors: Enrique Zuazua, Yongcun Song Period: Winter Semester 2022/2023 Date: November to December 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4724699
Course: Mathematical Modeling in the Life Sciences Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs) Internship under the “Women in Mathematics of Data” program Date: September 2022 Supervisors: Enrique Zuazua Institution: FAU MoD, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) Code: • See the complete report by Dania Sana Introduction Accurate and fast predictions of numerical solutions […]
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 […]
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 […]
Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer semester 2021 This course provides a practical introduction to some of the most commonly used discretization methods for PDEs (finite differences and finite elements) and their implementation in MATLAB. It also covers some of the basics of […]
Practical course: Modeling, Simulation and Optimization Professors: Enrique Zuazua, Daniël Veldman Period: Summer Semester 2021/2022 Date: April 25, 2022 to July 31, 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4366861
Course: Modeling and Analysis in Continuum Mechanics 2 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Course: Control, Machine Learning and Numerics (2022) Lecturers: Enrique Zuazua, Yongcun Song Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Lecture notes: A primer on functional Analytic methods for PDEs FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer semester 2021 These lecture notes cover topics suitable for an introductory 5 ECTS (2+1 weekly hours) primer on functional analytic methods in partial differential equations. The goal of the course is to […]
Course: Modeling and Analysis in Continuum Mechanics 1 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 winter semester Date: October 2021 – March 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 winter semester Date: October 2021 – March 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Date: July 9 – 26, 2021 (4 weeks) Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE S01: Introduction to Control Theory (Fri. July 9, 2021) S02: Introduction: […]
Date: June 28 – July, 2021 Organized by: CIMPA, UIR, Mines-Rabat, Université Mohammed V de Rabat, Faculté de Droit de Rabat-Agdal, Faculté des Sciences Rabat, CNRST and INSEA Title: Control, Numerics and Machine Learning Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Our Head Enrique Zuazua talked […]
Course: Modeling, Simulation and Optimization (practical course) Lecturers: Enrique Zuazua, Daniel Veldman Period: 2020/2021 summer semester Date: April – July 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Course: Modeling and Analysis in Continuum Mechanics 2 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2020/2021 summer semester Date: April – July 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Modeling, Simulation and Optimization (practical course) Professors: Enrique Zuazua, Daniël Veldman Period: Summer Semester 2020/2021 Date: April 12, 2021 to July 16, 2021 ECTS: 5 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_3686764
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 […]
Course: Modeling and Analysis in Continuum Mechanics 1 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2020/2021 winter semester Date: October 2020 – March 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10
Classical models By Cyprien Neverov, Internship at FAU DCN-AvH from IMT Mines Ales Download Data-Driven COVID Modeling (Slides) Compartmental epidemiological models [1] where introduced almost a century ago and are still considered the standard way of modeling a disease in a population. They are also called SIR models because […]
Course: Partial Differential Equation, Control, and Numerics Lecturer: Enrique Zuazua | Exercise classes: Nicola De Nitti Period: 2019/2020 summer semester Date: April – July 2020 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10