This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

Abstract We consider the Cucker–Smale flocking model with a singular communication
weight ψ (s)= s− α with α> 0. We provide a critical value of the exponent α in the …

We address the design of decentralized feedback control laws inducing consensus and
prescribed spatial patterns over a singular interacting particle system of Cucker--Smale type …

In this paper we model the role of a government of a large population as a mean field
optimal control problem. Such control problems are constrained by a PDE of continuity-type …

We rigorously derive pressureless Euler-type equations with nonlocal dissipative terms in
velocity and aggregation equations with nonlocal velocity fields from Newton-type particle …

We study a Cucker-Smale-type system with time delay in which agents interact with each
other through normalized communication weights. We construct a Lyapunov functional for …

We study a pressureless Euler system with a non-linear density-dependent alignment term,
originating in the Cucker–Smale swarming models. The alignment term is dissipative in the …

This paper focuses on the role of a government of a large population of interacting agents as
a meanfield optimal control problem derived from deterministic finite agent dynamics. The …

We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling,
where delays are information processing and reactions of individuals. By constructing a …

Global optimization of a non-convex objective function often appears in large-scale machine
learning and artificial intelligence applications. Recently, consensus-based optimization …