activity
20182020
most citedAn ergodic problem for Mean Field Games: qualitative properties and numerical simulations

6 citations · 6 across the 1 of their papers we have counts for

collaborators

5 papers

math.OC2020

Optimal reachability and grasping for a soft manipulator

Simone Cacace, Anna Chiara Lai, Paola Loreti

We investigate optimal reachability and grasping problems for a planar soft manipulator, from both a theoretical and numerical point of view. The underlying control model describes…

math.NA2019

A Mean Field Games approach to Cluster Analysis

Laura Aquilanti, Simone Cacace, Fabio Camilli +1

In this paper, we develop a Mean Field Games approach to Cluster Analysis. We consider a finite mixture model, given by a convex combination of probability density functions, to de…

math.NA2019

Stochastic hybrid differential games and match race problems

Simone Cacace, Roberto Ferretti, Adriano Festa

We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a compet…

math.OC2018

Modeling and Optimal Control of an Octopus Tentacle

Simone Cacace, Anna Chiara Lai, Paola Loreti

We present a control model for an octopus tentacle, based on the dynamics of an inextensible string with curvature constraints and curvature controls. We derive the equations of mo…

math.AP20186 cited

An ergodic problem for Mean Field Games: qualitative properties and numerical simulations

Simone Cacace, Fabio Camilli, Annalisa Cesaroni +1

This paper is devoted to some qualitative descriptions and some numerical results for ergodic Mean Field Games systems which arise, e.g., in the homogenization with a small noise l…