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In both animal and cell populations, the presence of leaders often underlies the success of collective migration processes, which we characterise by a group maintaining a cohesive configuration that consistently moves toward a target. We…

Physics and Society · Physics 2024-10-15 Sara Bernardi , Kevin J. Painter

In this paper, a decentralized stochastic control system consisting of one leader and many homogeneous followers is studied. The leader and followers are coupled in both dynamics and cost, where the dynamics are linear and the cost function…

Optimization and Control · Mathematics 2020-12-02 Mohammad M. Baharloo , Jalal Arabneydi , Amir G. Aghdam

This paper considers a leader-following problem for a group of heterogeneous linear time invariant (LTI) followers that are interacting over a directed acyclic graph. Only a subset of the followers has access to the state of the leader in…

Multiagent Systems · Computer Science 2019-11-21 Yi-Fan Chung , Solmaz S. Kia

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

Optimization and Control · Mathematics 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev

Effective control requires knowledge of the process dynamics to guide the system toward desired states. In many control applications this knowledge is expressed mathematically or through data-driven models, however, as complexity grows…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Joseph Park , George Sugihara , Gerald Pao

We study a multi-agent mean field type control problem in discrete time where the agents aim to find a socially optimal strategy and where the state and action spaces for the agents are assumed to be continuous. The agents are only weakly…

Optimization and Control · Mathematics 2025-04-01 Erhan Bayraktar , Nicole Bauerle , Ali Devran Kara

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

Knowledge-based leader-following synchronization of heterogeneous nonlinear multi-agent systems is a challenging problem since the leader's dynamic information is unknown to any follower node. This paper proposes a learning-based fully…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Shimin Wang , Xiangyu Meng , Hongwei Zhang , Frank L. Lewis

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

The population protocol model describes collections of distributed agents that interact in pairs to solve a common task. We consider a dynamic variant of this prominent model, where we assume that an adversary may change the population size…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-09 Dominik Kaaser , Maximilian Lohmann

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

In this paper we consider an optimal control problem for a large population of interacting agents with deterministic dynamics, aggregating potential and constraints on reciprocal distances, in dimension 1. We study existence and qualitative…

Analysis of PDEs · Mathematics 2021-05-26 Annalisa Cesaroni , Marco Cirant

Principle of Swarm Intelligence has recently found widespread application in formation control and automated tracking by the automated multi-agent system. This article proposes an elegant and effective method inspired by foraging dynamics…

Neural and Evolutionary Computing · Computer Science 2014-10-17 Debdipta Goswami , Chiranjib Saha , Kunal Pal , Swagatam Das

The original Leader-Follower (LF) model partitions all agents whose opinion is a number in $[-1,1]$ to a follower group, a leader group with a positive target opinion in $[0,1]$ and a leader group with a negative target opinion in $[-1,0]$.…

Optimization and Control · Mathematics 2023-07-07 Hsin-Lun Li

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

Analysis of PDEs · Mathematics 2019-07-12 Marco Morandotti , Francesco Solombrino

Classical flocking models demonstrate how local interactions generate emergent order, but real-world multi-agent deployments are bound by severe constraints: limited actuator availability, heterogeneous communication latencies, and…

Optimization and Control · Mathematics 2026-05-04 Jiguang Yu

This paper investigates a linear quadratic mean field leader-follower team problem, where the model involves one leader and a large number of weakly-coupled interactive followers. The leader and the followers cooperate to optimize the…

Optimization and Control · Mathematics 2020-08-13 Jianhui Huang , Bing-Chang Wang , Tinghan Xie

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

Probability · Mathematics 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

This paper addresses the problem of formation control and tracking a of desired trajectory by an Euler-Lagrange multi-agent systems. It is inspired by recent results by Qingkai et al. and adopts an event-triggered control strategy to reduce…

Systems and Control · Computer Science 2018-05-31 Christophe Viel , Sylvain Bertrand , Michel Kieffer , Hélène Piet-Lahanier