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 …

In this paper a new multiscale modeling technique is proposed. It relies on a recently
introduced measure-theoretic approach, which allows one to manage the microscopic and …

We consider continuous-time consensus seeking systems whose time-dependent
interactions are cut-balanced, in the following sense: if a group of agents influences the …

We study a simple continuous-time multiagent system related to Krause's model of opinion
dynamics: each agent holds a real value, and this value is continuously attracted by every …

This paper introduces a methodology for modelling, analysis, and control design of a large-
scale system of agents deployed in 3-D space. The agents' communication graph is a mesh …

This paper introduces a new model of pedestrian flow, formulated within a measure-
theoretic framework. It consists of a macroscopic representation of the system via a family of …

We present a distributed control algorithm simultaneously solving both the stochastic target
assignment and optimal motion control for large-scale swarms to achieve complex formation …

In this paper, we systematically apply the mathematical structures by time-evolving
measures developed in a previous work to the macroscopic modeling of pedestrian flows …

This paper focuses on the analytical properties of the solutions to the continuity equation
with non local flow. Our driving examples are a supply chain model and an equation for the …

In this paper we analyze a class of multiagent consensus dynamical systems inspired by
Krause's original model. As in Krause's model, the basic assumption is the so-called …