Funded by ERC – European Research Council
Project Acronym: DyCon
Project Full Title: Dynamic Control and Numerics of Partial Differential Equations
Project reference: 694126
Principal Investigator: Enrique Zuazua
Host Institutions: DeustoTech – Deusto Foundation and Universidad Autónoma de Madrid
Duration: October 2016 – September 2022
From 2016 to 2022, the DyCon project members worked to make a breakthrough contribution in the broad area of Control of Partial Differential Equations (PDE) and their numerical approximation methods by addressing key unsolved issues appearing systematically in real-life applications. To achieve this, we focused in three objectives:
- Contributing with new key theoretical methods and results
- Developing the corresponding numerical tools, and
- Building up new computational software, the DyCon computational platform (DyCon blog), bridging the gap to applications
The field of PDEs, together with numerical approximation and simulation methods and control theory, has evolved significantly in the last decades in a cross-fertilization process, to address the challenging demands of industrial and cross-disciplinary applications such as, for instance, the management of natural resources, meteorology, aeronautics, oil industry, bio-medicine, human and animal collective behavior, etc. Despite these efforts, some of the key issues still remain unsolved, either because of a lack of analytical understanding, of the absence of efficient numerical solvers, or of a combination of both.
This project has been focused on six key topics (Work Packages -WP) with a central role in most of the processes arising in applications: 
- WP1. Control of parameter dependent problems (PDC)
- WP2. Long time horizon control (LTHC)
- WP3. Control under constraints (CC)
- WP4. Inverse design of time-irreversible models (SINV)
- WP5. Models involve memory terms and hybrid PDE/ODE systems (MHM)
- WP6. Finite versus infinite-dimensional dynamical systems (FI)
A coordinated and focused effort has been the key to solve unexpected interactive phenomena emerged, for instance, in the fine numerical approximation of control problems, and it has been neccesary to fill the gap from modeling to control, computer simulations and applications. You might be interested in:
