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This paper addresses the formation maneuver control problem of leader-follower multi-agent systems with high-order integrator dynamics. A distributed output feedback formation maneuver controller is proposed to achieve desired maneuvers so…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Xu Fang , Lihua Xie

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

Statistical Mechanics · Physics 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

The hydrodynamical model of the collective behavior of animals consists of the Euler equation with additional non-local forcing terms representing the repulsive and attractive forces among individuals. This paper deals with the system…

Analysis of PDEs · Mathematics 2021-07-01 Pavel Ludvik , Vaclav Macha

In this work we consider a four compartment Brusselator system. The reaction terms of this system are of non constant sign, thus components of the solution are not bounded apriori, and functional means to derive apriori bounds will fail. We…

Dynamical Systems · Mathematics 2015-03-06 Rana D. Parshad , Said Kouachi , Nitu Kumari

An approach of mobile multi-agent pursuit based on application of self-organizing feature map (SOFM) and along with that reinforcement learning based on agent group role membership function (AGRMF) model is proposed. This method promotes…

Artificial Intelligence · Computer Science 2020-06-30 Muhammad Zuhair Qadir , Songhao Piao , Haiyang Jiang , Mohammed El Habib Souidi

Using any nonnegative function with a nonpositive derivative along trajectories to define a virtual output, the classic LaSalle invariance principle can be extended to switched nonlinear time-varying (NLTV) systems, by considering the weak…

Systems and Control · Electrical Eng. & Systems 2020-06-04 Ti-Chung Lee , Ying Tan , Youfeng Su , Iven Mareels

We address the problem of controlling the density of a large ensemble of follower agents by acting on a group of leader agents that interact with them. Using coupled partial integro-differential equations to describe leader and follower…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Gian Carlo Maffettone , Alain Boldini , Maurizio Porfiri , Mario di Bernardo

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

Numerical Analysis · Mathematics 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

In this paper we present the simplest individual level model of predator-prey dynamics and show, via direct calculation, that it exhibits cycling behavior. The deterministic analogue of our model, recovered when the number of individuals is…

Populations and Evolution · Quantitative Biology 2009-11-11 A. J. McKane , T. J. Newman

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

We propose an agent-based model of active flexible rods. Inspired by cytoskeletal flows, we introduce activity by an internal flow that contributes to the dissipative forces. The active force between our agents is central and reciprocal,…

Soft Condensed Matter · Physics 2026-03-06 Mathieu Dedenon , Carles Blanch-Mercader , Karsten Kruse , Jens Elgeti

Cooperative multi-agent reinforcement learning (MARL) under sparse rewards remains fundamentally challenging because agents often fail to concentrate their influence, leading to insufficiently coordinated exploration. To address this, we…

Machine Learning · Computer Science 2026-05-13 Yisak Park , Sunwoo Lee , Seungyul Han

We introduce a Cucker-Smale-type model for flocking, where the strength of interaction between two agents depends on their relative separation (called "topological distance" in previous works), which is the number of intermediate…

Dynamical Systems · Mathematics 2015-06-12 Jan Haskovec

For many tasks, multi-robot teams often provide greater efficiency, robustness, and resiliency. However, multi-robot collaboration in real-world scenarios poses a number of major challenges, especially when dynamic robots must balance…

Robotics · Computer Science 2025-01-22 Mark Gonzales , Adam Polevoy , Marin Kobilarov , Joseph Moore

Agent-based modelling is a valuable approach for systems whose behaviour is driven by the interactions between distinct entities. They have shown particular promise as a means of modelling crowds of people in streets, public transport…

Multiagent Systems · Computer Science 2020-04-30 Nick Malleson , Kevin Minors , Le-Minh Kieu , Jonathan A. Ward , Andrew A. West , Alison Heppenstall

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

Coordinated collective motion in bird flocks and fish schools inspires algorithms for cohesive swarm robotics. This paper presents a position-based flocking model that achieves persistent velocity alignment without velocity sensing. By…

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

This article presents the consensus of a saturated second order multi-agent system with non-switching dynamics that can be represented by a directed graph. The system is affected by data processing (input delay) and communication…

Multiagent Systems · Computer Science 2020-11-19 Venkata Karteek Yanumula , Indrani Kar , Somanath Majhi

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