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In this article, we present a distributed source-seeking and flocking control method for networked multi-agent systems with non-holonomic constraints. Based solely on identical on-board sensor systems, which measure the source local field,…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Tinghua Li , Bayu Jayawardhana

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

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous…

Adaptation and Self-Organizing Systems · Physics 2021-10-08 Emiliano Cristiani , Marta Menci , Marco Papi , Léonard Brafman

We study a simple but compelling model of $n$ interacting agents via time-dependent, unidirectional communication. The model finds wide application in a variety of fields including synchronization, swarming and distributed decision making.…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau

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

This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently…

Optimization and Control · Mathematics 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

Efficient collective response to external perturbations is one of the most striking abilities of a biological system. Signal propagation through the group is an important condition for the imple- mentation of such a response. Information…

Statistical Mechanics · Physics 2018-11-14 Andrea Cavagna , Daniele Conti , Irene Giardina , Tomas S. Grigera

We investigate consensus formation and flocking behavior in multi-agent systems subject to two distinct types of delays: a transmission delay accounting for information exchange between agents, and a reaction delay representing the…

Dynamical Systems · Mathematics 2026-04-22 Elisa Continelli , Jan Haskovec , Cristina Pignotti

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

Collective motion is an intriguing phenomenon, especially considering that it arises from a set of simple rules governing local interactions between individuals. In theoretical models, these rules are normally \emph{assumed} to take a…

Populations and Evolution · Quantitative Biology 2019-04-24 Katja Ried , Thomas Müller , Hans J. Briegel

This paper investigates a planar tracking problem between a leader and follower agent. We propose a novel feedback speed control law, paired with a constant bearing steering strategy, to maintain an abreast formation between the two agents.…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Xincheng Li , Tengyue Liu , Udit Halder

In this paper, we consider multiple mobile agents moving in Euclidean space with point mass dynamics. Using a coordination control scheme, we can make the group generate stable flocking motion. The control laws are a combination of…

Statistics Theory · Mathematics 2007-06-13 Long Wang

This paper presents a position-based flocking model for interacting agents, balancing cohesion-separation and alignment to achieve stable collective motion. The model modifies a position-velocity-based approach by approximating velocity…

Multiagent Systems · Computer Science 2025-08-08 Hossein B. Jond

This paper is devoted to the quantitative study of the attractive velocity of generalized attractors for infinite-dimensional dynamical systems. We introduce the notion of~$\varphi$-attractor whose attractive speed is characterized by a…

Dynamical Systems · Mathematics 2022-05-09 Chunyan Zhao , Chengkui Zhong , Xiangming Zhu

We consider large but finite systems of identical agents on the line with up to next nearest neighbor asymmetric coupling. Each agent is modelled by a linear second order differential equation, linearly coupled to up to four of its…

Dynamical Systems · Mathematics 2021-07-23 J. Herbrych , A. G. Chazirakis , N. Christakis , J. J. P. Veerman

This work addresses the problem of constrained motion control of the uncrewed surface vessels. The constraints are imposed on states/inputs of the vehicles due to the physical limitations, mission requirements, and safety considerations. We…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

The problem of estimating an unknown force driving a linear oscillator is revisited. When using linear measurement, feedback is often cited as a mechanism to enhance bandwidth or sensitivity. We show that as long as the oscillator dynamics…

Flocks of birds, schools of fish, insects swarms are examples of coordinated motion of a group that arises spontaneously from the action of many individuals. Here, we study flocking behavior from the viewpoint of multi-agent reinforcement…

Physics and Society · Physics 2020-07-08 Mihir Durve , Fernando Peruani , Antonio Celani

Populations of self-propelled mobile agents - animal groups, robot swarms or crowds of people - that exchange information with their surrounding, host fascinating cooperative behaviors. While in many situations of interest the agents motion…

Physics and Society · Physics 2019-01-28 Demian Levis , Albert Diaz-Guilera , Ignacio Pagonabarraga , Michele Starnini

We derive an explicit form for the Cucker-Smale (CS) model on the special orthogonal group $\mathrm{SO}(3)$ by identifying closed form expressions for geometric quantities such as covariant derivative and parallel transport in exponential…

Dynamical Systems · Mathematics 2021-03-12 Razvan C. Fetecau , Seung-Yeal Ha , Hansol Park