Work

Optimal synchronization problem for a multi-agent system

Year: 2017

Type: article

Abstract: In this paper we investigate a time-optimal control problem in the space of positive and finite Borel measures on $\mathbb R^d$, motivated by applications in multi-agent systems. We provide a definition of admissible trajectory in the space of Borel measures in a particular non-isolated context, inspired by the so called optimal logistic problem, where the aim is to assign an initial amount of resources to a mass of agents, depending only on their initial position, in such a way that they can reach the given target with this minimum amount of supplies. We provide some approximation results connecting the microscopical description with the macroscopical one in the mass-preserving setting, we construct an optimal trajectory in the non isolated case and finally we are able to provide a Dynamic Programming Principle.

Source: Networks and Heterogeneous Media

DOI: 10.3934/nhm.2017012

Authors: Giulia Cavagnari, Antonio Marigonda, Benedetto Piccoli

Institutions: Rutgers, The State University of New Jersey, University of Verona

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2619463550

FWCI: 2.614

Cites: 30

Cited by: 12

Related to: 10