DyCon blog

Spectral inequalities for pseudo-differential operators and control theory on compact manifolds

Spain 21.11.2022 Spectral inequalities for pseudo-differential operators and control theory on compact manifolds Author: Duvan Cardona In this post, we explain some results related to the null-controllability of diffusion models…

Optimal control of mixed local-nonlocal elliptic PDE with singular boundary-exterior data

Spain 12.08.2022 Optimal control of mixed local-nonlocal elliptic PDE with singular boundary-exterior data Author: Jean-Daniel Djida In this post we are interested in optimal control problem of the mixed local-nonlocal…

Constructing the Scattering Transform

Spain 10.08.2022 Constructing the Scattering Transform Author: Javier Minguillón Sánchez 1 Introduction As Mallat presents it in [8], the scattering transform appears from the pursuit of a representation of…

Null Controllability of a Nonlinear Age, Space and Two-sex Structured Population Dynamics Model

Spain 05.08.2022 Null Controllability of a Nonlinear Age, Space and Two-sex Structured Population Dynamics Model Author: Yacouba Simpore Motivation and description of two sex structured population dynamics model Motivation Malaria…

Long-time behavior of locally and partially dissipated hyperbolic systems

Spain 26.07.2022 Long-time behavior of locally and partially dissipated hyperbolic systems Author: Timothée Crin-Barat In this post we are interested in the long-time behavior of solutions to locally and partially…

Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation

Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation Spain. 02.05.2022 Author: Alexandra Borkowski Optimal Control Problems in Practice Imagine that you are given…

Introduction to spherical geometry: postulates and Pythagoras’ theorem

Spain. 29.03.2022 Author: Elisa Affili Introduction In this post, we present some basic facts about the study of geometry on spheres. In fact, geometry on the sphere is surprisingly different…

The Disk Multiplier and the Spherical Maximal Operator

Spain. 03.02.2022 Author: Javier Minguillón Sánchez Introduction We can define an operator between function spaces by modifying the frequencies in which a function decomposes via the Fourier transform. If the…

Swinging up the double pendulum on a cart

Spain. 24.01.2022 Author: Arnaud Rippol Introduction Pendulums are systems often used in Control Theory or Reinforcement Learning as benchmarks examples to prove the efficiency of some methods or algorithms. The…

Deep generative models and their applications

Spain. 13.11.2021 Author: Pierre Mordant Introduction Unsupervised learning is the field of machine learning which tries to get as much information as possible on the probability distribution of the training…

DyCon blog: Multilevel Selective Harmonic Modulation via Optimal Control

Spain. 12.04.2021. Our team members Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe and Umberto Biccari, made a contribution to the DyCon Blog about "Multilevel Selective Harmonic Modulation via Optimal Control": Selective harmonic Modulation (SHM)…

DyCon blog: Points of Interest Extraction and Prediction of Next Locations

Spain. 10.03.2021. Aicha Karite recent member from our team, made a contribution to the DyCon Blog about "Points of Interest Extraction and Prediction of Next Locations": Generally, a prediction problem…

Perceptrons, Neural Networks and Dynamical Systems

Spain. 09.03.2021 Author: Sergi Andreu Perceptrons, Neural Networks and Dynamical Systems // This post is last part of the "Deep Learning and Paradigms" post Binary classification with Neural Networks When dealing with data classification,…

Deep Learning & Paradigms

Spain. 01.03.2021 Author: Sergi Andreu Deep Learning & Paradigms By

Opening the black box of Deep Learning

Spain. 24.02.2021 Author: Sergi Andreu Opening the black box of Deep Learning By

DyCon blog: Averaged dynamics and control for heat equations with random diffusion

Spain. 04.12.2020. Our team member Jon Asier Bárcena Petisco and our Head Enrique Zuazua made a contribution to the DyCon Blog about "Averaged dynamics and control for heat equations with…

Noboru Sakamoto – Long time horizon control & Turnpike

Spain. 21.07.2019. Interview to Noboru Sakamoto about the DyCon Working Package 2: "Long time horizon control & Turnpike" Read more about DyCon ERC Project

DyCon blog: Q-learning for finite-dimensional problems

Spain. 29.10.2020. Our team member Carlos Esteve made a contribution to the DyCon Blog about "Q-learning for finite-dimensional problems": Reinforcement Learning (RL) is, together with Supervised Learning and Unsupervised Learning,…

Moving control strategy for memory-type equations

Spain. 20.10.2020. Jesus Oroya and Umberto Biccari, researchers at our team, made a contribution to the DyCon Blog about "Moving control strategy for memory-type equations" Take a look the detailed…

Synchronized Oscillators

Spain. 03.06.2020. Umberto Biccari, and Enrique Zuazua made a contribution to the DyCon Blog about " Synchronized Oscillators" Take a look the detailed explanation at DyCon Blog All posts at…

Stochastic optimization for simultaneous control

Spain. 03.06.2020. Ana Navarro, Umberto Biccari, and Enrique Zuazua made a contribution to the DyCon Blog about "Stochastic optimization for simultaneous control" Take a look the detailed explanation at DyCon…

The interplay of control and deep learning

Spain. 30.04.2020. Borjan Geshkovski made a contribution to the DyCon Blog about "The interplay of control and deep learning" Take a look the detailed explanation at DyCon Blog All posts…

Control of reaction-diffusion under state constraints – Heterogeneous setting: Gene-flow

Spain. 19.04.2020. Domènec Ruiz-Balet and Idriss Mazari made a contribution to the DyCon Blog about "Control of reaction-diffusion under state constraints - Heterogeneous setting: Gene-flow" Take a look the detailed…

Control of reaction-diffusion under state constraints – Numerical exploration of controls

Spain. 04.04.2020. Domènec Ruiz-Balet made a contribution to the DyCon Blog about " Control of reaction-diffusion under state constraints - Numerical exploration of controls" Take a look the detailed explanation…

DyCon blog: Inverse problem for Hamilton-Jacobi equations

Spain. 03.04.2020. Today, our team member Carlos Esteve made a contribution to the DyCon Blog about "Inverse problem for Hamilton-Jacobi equations": Inverse design problem for Hamilton-Jacobi equations: projection on the…

Control of reaction-diffusion under state constraints – Application of the staircase method

Spain. 03.04.2020. Domènec Ruiz-Balet made a contribution to the DyCon Blog about "Control of reaction-diffusion under state constraints - Application of the staircase method" Take a look the detailed explanation…

The Optimal control on the Kuramoto adaptative coupling model with DyCon Toolbox

Spain. 19.04.2020. Dongnam Ko made a contribution to the DyCon Blog about "The Optimal control on the Kuramoto adaptative coupling model with DyCon Toolbox" Take a look the detailed explanation…

Simultaneous Control with DyCon Toolbox

Spain. 01.04.2020. Jesus Oroya made a contribution to the DyCon Blog about "Simultaneous Control with DyCon Toolbox" Take a look the detailed explanation at DyCon Blog All posts at DyCon…

DyCon Blog: POD and DMD Reduced Order Models for a 2D Burgers Equation

Spain. 11.03.2020. Today, our team member Jan Heiland made a contribution to the DyCon Blog about "POD and DMD Reduced Order Models for a 2D Burgers Equation": "The DMD approach…

DyCon Blog: Stabilization of a double pendulum on a cart with DyCon Toolbox

Spain. 14.02.2020. Yesterday, our team members Jesús Oroya and Jorge Mallo made a contribution to the DyCon Blog about "Stabilization of a double pendulum on a cart with DyCon Toolbox".…

WP5. Models involve memory terms and hybrid PDE/ODE systems (MHM)

Spain. 20.11.2019. Umberto Biccari, postdoctoral researcher at the Chair of Computational Mathematics of the University of Deusto (Bilbao, Basque Country Spain) explains the key topics in the Working Package 5…

DyCon blog: Analysis, numerics and control for the obstacle problem

Spain. 15.09.2019. Today, our team member Borjan Geshkovski made a contribution to the DyCon Blog about "Analysis, numerics and control for the obstacle problem": In this tutorial, we present some…