In this paper a review of the results on sparse controls for partial differential equations is
presented. There are two different approaches to the sparsity study of control problems. One …

We introduce the concept of mean-field optimal control which is the rigorous limit process
connecting finite dimensional optimal control problems with ODE constraints modeling multi …

In this paper we characterize sparse solutions for variational problems of the form\min _ u ∈
X ϕ (u)+ F (A u) min u∈ X ϕ (u)+ F (A u), where X is a locally convex space, AA is a linear …

Starting with the seminal papers of Reynolds (1987), Vicsek et al.(1995), Cucker–Smale
(2007), there has been a lot of recent works on models of self-alignment and consensus …

We introduce the rigorous limit process connecting finite dimensional sparse optimal control
problems with ODE constraints, modelling parsimonious interventions on the dynamics of a …

This article is mainly based on the work [7], and it is dedicated to the 60th anniversary of B.
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …

Optimal control problems in measure spaces lead to controls that have small support, which
is desirable, eg, in the context of optimal actuator placement. For problems governed by …

The purpose of this review article is to present some recent results on the modeling and
control of large systems of agents. We focus on particular applications where the agents are …

A directional sparsity framework allowing for measure valued controls in the spatial direction
is proposed for parabolic optimal control problems. It allows for controls which are localized …

Angle-preserving or conformal surface parameterization has proven to be a powerful tool
across applications ranging from geometry processing, to digital manufacturing, to machine …