DYCON-COMP Platform

One of the main benefits of the research conducted in the DyCon’s working packages is the development of computational contents that include algorithms, articles, tutorials, visualizations, sample codes and software that will be integrated in this web…

Work Packages

DyCon project identifies and focuses on six key topics that play a central role in most of the processes arising in applications, but which are still poorly understood, namely: control of parameter dependent problems, long time horizon control…

Optimal control applied to collective behaviour

The standard approach for solving a driving problem is a leadership strategy, based on the attraction that a driver agent exerts on other agent. Repulsion forces are mostly used for collision avoidance, defending a target or describing the need for personal space. We present a “guidance by repulsion” model describing the behaviour of two agents, a driver and an evader…

Related Projects

“Control y problemas inversos – COPI”. PI: E. Fernández Cara MTM2015-70444-REDT – Excellence Network – University of Sevilla – From December 2015 to December 2017 ICON-Interactions of Control, Partial Differential Equations and Numerics ANR-Francia, ANR-2016-ACHN-0014-01. – From June 2016 to June 2020 Groupement Euro-Maghrébin de Mathématiques et de leurs Interactions “Methods for numerical simulation and…

Greedy Control

Control of a parameter dependent system in a robust manner. Fix a control time T > 0, an arbitrary initial data x^0, and a final target x^1 \in R^N

From finite to infinite-dimensional models (FI)

Our team has made some high impact contributions in the description of the limit, as the mesh sizes tend to zero, of numerical schemes for wave equations. These results also provide insight into the link between conservative finite and infinite-dimensional dynamical systems. We have also developed the theoretical control consequences of these facts, which show…

Models involving memory terms & hybrid PDE+ODE systems (MHM)

Control theory for PDEs has been quite exhaustively developed for model problems (heat and wave equations). But other important models in applications, of hybrid nature, remain poorly understood: models involving memory terms in viscoelasticity. Our team recently made key contributions in this area, inspired in the work by P. Martin, L. Rosier and P. Rouchon…

Inverse design and control in the presence of singularities (SINV)

Some important PDE models in Continuum Physics, such as hyperbolic conservation laws, represent a major challenge from a control viewpoint for two (closely related) reasons: solutions lack regularity properties and develop shock discontinuities in finite time, making linearization methods inapplicable the property of backward uniqueness is lost in the absence of viscosity effects and the…

Control under constraints (CC)

Most of the existing theory of controllability for PDEs has been developed in the absence of constraints on the states. Thus, in practice, most of the available controllability results do not ensure that controlled trajectories fulfil the physical constraints of the process under consideration. Nevertheless, these constraints, often formulated as unilateral bounds on the controlled…