Enrique Zuazua

Simultaneous control of parameter-depending systems using stochastic optimization algorithms

Synchronization of coupled oscillators with the Random Batch Method

The inverse design of hyperbolic transport equations can be addressed by using gradient-adjoint methodologies. Recently, Morales-Hernandez and Zuazua [1] investigated the convenience of using low order numerical schemes for the adjoint resolution in the gradient-adjoint method. They focused on hyperbolic transport scalar equations with an heterogeneous time-independent vector field.

Our aim is to study an optimal control problem which consists in minimizing the difference between the predictions of the Burgers equation and the observations of the system at a final time in $L^2(\mathbb{R})$ norm.

In this tutorial, we show how to use the C++ library OpenFOAM (Open Field Operation and Manipulation) in order to solve control problems for partial differential equations (PDE).

Theoretical and numerical analysis of the propagation of the solutions for a Schrödinger equation with fractional Laplacian, with application to the study of controllability properties.

In this work, we address the optimal control of parameter-dependent systems.

Using IpOpt to get the time-optimal nonnegative control of a semi-discrete 1D heat equation

A Matlab guide for the numerical approximation of the exact control and stabilization of the wave equation.

We present a computational tool to solve optimal control problems for diffusion-reaction systems describing the growth and spread of populations

Short report about the greedy algorithm of linear Vlasov-Fokker-Planck equation, including 6 numerical experiments with figures, and corresponding matlab coding and the explanation of how to implement it.

Guidance by repulsion model describing the behaviour of two agents, a driver and an evader

Various numerical approximation methods are discussed with the aim of recoving the large time asymptotic properties of the hypoelliptic Kolmogorov model

Various discrete adjoint methodologies are discussed for the inverse design of linear transport equations in 2 space dimensions

Turnpike theory and greedy algorithms, applied to the steady-state elliptic control problem, are combined to obtain a greedy approximation of parabolic optimal control problems, independent of the initial data

We want to study the following optimal control problem...

How to use IpOpt to solve time optimal control problems

Tracking control of 1D scalar conservation laws in the presence of shocks

Numerical approximation of the inverse design problem for the Burgers equation

The turnpike property improves the numerical methods used to solve optimal control problems

Control of a parameter dependent system in a robust manner