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We study the shepherding control problem where a group of "herders" need to orchestrate their collective behaviour in order to steer the dynamics of a group of "target" agents towards a desired goal. We relax the strong assumptions of…

Statistical Mechanics · Physics 2024-02-22 Andrea Lama , Mario di Bernardo

Empirically derived continuum models of collective behavior among large populations of dynamic agents are a subject of intense study in several fields, including biology, engineering and finance. We formulate and study a mean-field game…

Adaptation and Self-Organizing Systems · Physics 2018-06-22 Piyush Grover , Kaivalya Bakshi , Evangelos A. Theodorou

Multi-agent shepherding represents a challenging distributed control problem where herder agents must coordinate to guide independently moving targets to desired spatial configurations. Most existing control strategies assume cohesive…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Italo Napolitano , Stefano Covone , Andrea Lama , Francesco De Lellis , Mario di Bernardo

The simultaneous control of multiple coordinated robotic agents represents an elaborate problem. If solved, however, the interaction between the agents can lead to solutions to sophisticated problems. The concept of swarming, inspired by…

Robotics · Computer Science 2025-08-13 Nathan K Long , Karl Sammut , Daniel Sgarioto , Matthew Garratt , Hussein Abbass

Robotic shepherding problem considers the control and navigation of a group of coherent agents (e.g., a flock of bird or a fleet of drones) through the motion of an external robot, called shepherd. Machine learning based methods have…

Robotics · Computer Science 2020-05-20 Jixuan Zhi , Jyh-Ming Lien

Resource allocation takes place in various kinds of real-world complex systems, such as the traffic systems, social services institutions or organizations, or even the ecosystems. The fundamental principle underlying complex…

Physics and Society · Physics 2013-08-06 Ji-Qiang Zhang , Zi-Gang Huang , Zi-Gang Huang , Liang Huang , Tie-Qiao Huang , Ying-Cheng Lai

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

This chapter provides a comprehensive overview of controlling collective behavior in complex systems comprising large ensembles of interacting dynamical agents. Building upon traditional control theory's foundation in individual systems, we…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Marco Coraggio , Davide Salzano , Mario di Bernardo

In this paper, we address the large-scale shepherding control problem using a continuification-based strategy. We consider a scenario in which a large group of follower agents (targets) must be confined within a designated goal region…

Systems and Control · Electrical Eng. & Systems 2024-11-08 Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo

The collective decision-making exhibited by animal groups provides enormous inspiration for multi-agent control system design as it embodies several features that are desirable in engineered networks, including robustness and adaptability,…

Optimization and Control · Mathematics 2017-12-01 Alessio Franci , Vaibhav Srivastava , Naomi Ehrich Leonard

We present preliminary results on the problem of driving the dynamics of a group of agents, the herders, so as to steer the collective behaviour of another group of agents, the targets, interacting with them. We define this problem as the…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Andrea Lama , Mario Di Bernardo

Multi-agent complex systems comprising populations of decision-making particles, have wide application across the biological, informational and social sciences. We uncover a formal analogy between these systems' time-averaged dynamics and…

Other Condensed Matter · Physics 2007-05-23 Neil F. Johnson , David M. D. Smith , Pak Ming Hui

Collective behavior of the complex socio-economic systems is heavily influenced by the herding, group, behavior of individuals. The importance of the herding behavior may enable the control of the collective behavior of the individuals. In…

Physics and Society · Physics 2014-04-03 Aleksejus Kononovicius , Vygintas Gontis

This paper presents a novel control strategy for multi-agent shepherding of non-cohesive targets in obstacle-rich environments. Unlike previous approaches that assume cohesive flocking behavior, our method handles targets that interact only…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Cinzia Tomaselli , Stefano Covone , Andreagiovanni Reina , Mario di Bernardo

This paper presents a novel control strategy to herd a group of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strong nonlinear reactive dynamics,…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

Optimization and Control · Mathematics 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

Collaborative multi-agent robotic systems where agents coordinate by modifying a shared environment often result in undesired dynamical couplings that complicate the analysis and experiments when solving a specific problem or task.…

Robotics · Computer Science 2022-03-10 Daniel Jarne Ornia , Pedro J Zufiria , Manuel Mazo

The shepherding problem refers to guiding a group of agents (called sheep) to a specific destination using an external agent with repulsive forces (called shepherd). Although various movement algorithms for the shepherd have been explored…

Adaptation and Self-Organizing Systems · Physics 2023-06-22 Yaosheng Deng , Aiyi Li , Masaki Ogura , Naoki Wakamiya

The problem of guiding a flock of agents to a destination by the repulsion forces exerted by a smaller number of external agents is called the shepherding problem. This problem has attracted attention due to its potential applications,…

Multiagent Systems · Computer Science 2022-10-21 Anna Fujioka , Masaki Ogura , Naoki Wakamiya

We present a decentralized reinforcement learning (RL) approach to address the multi-agent shepherding control problem, departing from the conventional assumption of cohesive target groups. Our two-layer control architecture consists of a…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Italo Napolitano , Andrea Lama , Francesco De Lellis , Mario di Bernardo
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