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In this work, we present typical challenges encountered when developing methods for controlling crowds of people (or animal swarms). We discuss which elements shall be considered and the role they play to achieve a robust control in a…

Physics and Society · Physics 2025-04-04 Claudio Feliciani , Daichi Yanagisawa , Katsuhiro Nishinari

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

Analysis of PDEs · Mathematics 2020-03-11 Roman Shvydkoy , Eitan Tadmor

The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

Optimization and Control · Mathematics 2023-02-27 Benedetto Piccoli

Flocking behavior has attracted considerable attention in multi-agent systems. The structure of flocking has been predominantly studied through the application of artificial potential fields coupled with velocity consensus. These…

Optimization and Control · Mathematics 2020-08-21 Logan E. Beaver , Chris Kroninger , Andreas A. Malikopoulos

The design of control systems for the spatial self-organization of mobile agents is an open challenge across several engineering domains, including swarm robotics and synthetic biology. Here, we propose a bio-inspired leader-follower…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Gian Carlo Maffettone , Alain Boldini , Mario di Bernardo , Maurizio Porfiri

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

Schelling segregation is a well-established model used to investigate the dynamics of segregation in agent-based models. Since we consider segregation to be key for the development of political polarisation, we are interested in what…

Social and Information Networks · Computer Science 2025-06-27 Sage Anastasi , Giulio Dalla Riva

Resource allocation systems provide the fundamental support for the normal functioning and well being of the modern society, and can be modeled as minority games. A ubiquitous dynamical phenomenon is the emergence of herding, where a vast…

Physics and Society · Physics 2019-03-13 Si-Ping Zhang , Jia-Qi Dong , Li Liu , Zi-Gang Huang , Liang Huang , Ying-Cheng Lai

In recent years, numerous studies have focused on the mathematical modeling of social dynamics, with self-organization, i.e., the autonomous pattern formation, as the main driving concept. Usually, first or second order models are employed…

Optimization and Control · Mathematics 2016-09-26 Mattia Bongini , Massimo Fornasier

This paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. For this problem (i) we propose a metric…

Systems and Control · Computer Science 2014-03-04 Fabio Pasqualetti , Sandro Zampieri , Francesco Bullo

For an uncontrollable system, adding leaders and adjusting edge weights are two methods to improve controllability. In this paper, controllability of multi-agent systems under directed topologies is studied, especially on leader selection…

Systems and Control · Computer Science 2015-06-16 Bin Zhao , Yongqiang Guan , Long Wang

Controllability refers to a situation in which a Multi-agent System may be steered from one state to another using specified rules. As a result, there is belief in achieving a given condition by explicit advances. The level of dynamism in…

Multiagent Systems · Computer Science 2021-12-28 Javeria Noor

In recent years, reinforcement learning and its multi-agent analogue have achieved great success in solving various complex control problems. However, multi-agent reinforcement learning remains challenging both in its theoretical analysis…

Robotics · Computer Science 2023-02-10 Kai Cui , Mengguang Li , Christian Fabian , Heinz Koeppl

This paper introduces the Shepherd Test, a new conceptual test for assessing the moral and relational dimensions of superintelligent artificial agents. The test is inspired by human interactions with animals, where ethical considerations…

Artificial Intelligence · Computer Science 2025-09-30 Djallel Bouneffouf , Matthew Riemer , Kush Varshney

We consider a generic, suitable class of optimal control problems under a constraint given by a finite-dimensional SDE-ODE system, describing a system of two interacting species of particles: the herd, described by SDEs, and the herders,…

Optimization and Control · Mathematics 2025-05-23 Giuseppe La Scala

A mathematical theory on flocking serves the foundation for several ubiquitous multi-agent phenomena in biology, ecology, sensor networks, economy, as well as social behavior like language emergence and evolution. Directly inspired by the…

Populations and Evolution · Quantitative Biology 2007-05-23 Jackie , Shen

One of the most striking phenomena in biological systems is the tendency for biological agents to spatially aggregate, and subsequently display further collective behaviours such as rotational motion. One prominent explanation for why…

Quantitative Methods · Quantitative Biology 2024-10-18 Thomas Stemler , Shannon Dee Algar , Jesse Zhou

Swarming is a conspicuous behavioural trait observed in bird flocks, fish shoals, insect swarms and mammal herds. It is thought to improve collective awareness and offer protection from predators. Many current models involve the hypothesis…

Quantitative Methods · Quantitative Biology 2015-06-22 Daniel J. G. Pearce , A. M. Miller , George Rowlands , Matthew S. Turner

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

Biological Physics · Physics 2012-10-15 Giacomo Albi , Lorenzo Pareschi