We present a survey on the application of fluid approximations, in the form of mean-field
models, to the design of control strategies in swarm robotics. Mean-field models that consist …

Recent studies have explored finite-time dissipation-minimizing protocols for stochastic
thermodynamic systems driven arbitrarily far from equilibrium, when granted full external …

Stochastic processes are expressive mathematical tools for modeling real-world systems
that are subject to uncertainty. It is hence crucial to be able to formally analyze the behavior …

We analyze a problem of optimal control of the Fokker-Planck equation with state constraints
in the Wasserstein space of probability measures. We give first-order necessary conditions …

In this article, we describe an optimal control strategy for shaping a large-scale swarm of
particles using boundary global actuation. This problem arises as a key challenge in many …

Maintaining the stability and shape of a plasma is a crucial task in many technological
applications ranging from beam shaping to fusion energy. This is often challenging as …

We consider the bilinear optimal control of an advection-reaction-diffusion system, where the
control arises as the velocity field in the advection term. Such a problem is generally …

In this article we study an optimal control problem subject to the Fokker-Planck equation∂ t
ρ− ν∆ ρ− div (ρB [u])= 0∂ tρ-νΔρ-div ρB [u]= 0. The control variable u is time-dependent and …

In this paper, we investigate the exact controllability properties of an advection-diffusion
equation on a bounded domain, using time-and space-dependent velocity fields as the …

In this article, we consider a model motivated by large ensembles of nanoparticles'
magnetization dynamics using the Fokker-Planck equation and analyze the underlying …