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Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

Optimization and Control · Mathematics 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

This paper considers a group of mobile autonomous agents moving in Euclidean space with point mass dynamics. We introduce a set of coordination control laws that enable the group to generate the desired stable flocking motion. The control…

Statistics Theory · Mathematics 2007-06-13 Long Wang

Swarm robotic systems are mainly inspired by swarms of socials insects and the collective emergent behavior that arises from their cooperation at the lower lever. Despite the limited sensory ability, computational power, and communication…

Systems and Control · Computer Science 2013-03-01 Wesam Elshamy

Biological agents have adopted the principle of attention to limit the rate of incoming information from the environment. One question that arises is if an artificial agent has access to only a limited view of its surroundings, how can it…

Artificial Intelligence · Computer Science 2021-03-12 Himanshu Sahni , Charles Isbell

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 analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations…

Analysis of PDEs · Mathematics 2019-02-12 Umberto Biccari , Dongnam Ko , Enrique Zuazua

This study proposes a distributed algorithm that makes agents' adaptive grouping entrap multiple targets via automatic decision making, smooth flocking, and well-distributed entrapping. Agents make their own decisions about which targets to…

Multiagent Systems · Computer Science 2022-06-30 Chen Wang , Minqiang Gu , Wenxi Kuang , Dongliang Wang , Weicheng Luo , Zhaohui Shi , Zhun Fan

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

Optimization and Control · Mathematics 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

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

In this paper we investigate multi-agent discrete-event systems with partial observation. The agents can be divided into several groups in each of which the agents have similar (isomorphic) state transition structures, and thus can be…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yingying Liu , Jan Komenda , Zhiwu Li

In this paper we study multi-agent discrete-event systems where the agents can be divided into several groups, and within each group the agents have similar or identical state transition structures. We employ a relabeling map to generate a…

Systems and Control · Computer Science 2019-01-01 Yingying Liu , Kai Cai , Zhiwu Li

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

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

Flocking is a coordinated collective behavior that results from local sensing between individual agents that have a tendency to orient towards each other. Flocking is common among animal groups and might also be useful in robotic swarms. In…

Multiagent Systems · Computer Science 2018-04-25 Daniel Y. Fu , Emily S. Wang , Peter M. Krafft , Barbara J. Grosz

Collective behaviors such as swarming and flocking emerge from simple, decentralized interactions in biological systems. Existing models, such as Vicsek and Cucker-Smale, lack collision avoidance, whereas the Olfati-Saber model imposes…

Robotics · Computer Science 2025-08-14 Hossein B. Jond

We present a model for controlling swarms of mobile agents via broadcast control, assumed to be detected by a random set of agents in the swarm. The agents that detect the control signal become ad-hoc leaders of the swarm. The agents are…

Robotics · Computer Science 2016-07-19 Ilana Segall , Alfred Bruckstein

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

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

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

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