4 papers
A total variation flow scheme for ergodic mean field games
Dante Kalise, Alessio Oliviero, Domènec Ruiz-Balet
Motivated by recent developments in mean field games in ecology, in this paper we introduce a connection between the best response dynamics in evolutionary game theory, the minimiz…
Agent-Based Optimal Control for Image Processing
Alessio Oliviero, Simone Cacace, Giuseppe Visconti
We investigate the use of multi-agent systems to solve classical image processing tasks, such as colour quantization and segmentation. We frame the task as an optimal control probl…
Modified Patankar Semi-Lagrangian Scheme for the Optimal Control of Production-Destruction systems
Simone Cacace, Alessio Oliviero, Mario Pezzella
In this manuscript, we present a comprehensive theoretical and numerical framework for the control of production-destruction differential systems. The general finite horizon optima…
Reliable optimal controls for SEIR models in epidemiology
Simone Cacace, Alessio Oliviero
We present and compare two different optimal control approaches applied to SEIR models in epidemiology, which allow us to obtain some policies for controlling the spread of an epid…