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In this paper, we consider the second-order consensus problem for networked mechanical systems subjected to nonuniform communication delays, and the mechanical systems are assumed to interact on a general directed topology. We propose an…

Systems and Control · Computer Science 2014-03-03 Hanlei Wang , Long Cheng

We consider distributed consensus in networks where the agents have integrator dynamics of order two or higher ($n\ge 2$). We assume all feedback to be localized in the sense that each agent has a bounded number of neighbors and consider a…

Optimization and Control · Mathematics 2023-01-27 Emma Tegling , Bassam Bamieh , Henrik Sandberg

We study the problem of resilient consensus of sampled-data multi-agent networks with double-integrator dynamics. The term resilient points to algorithms considering the presence of attacks by faulty/malicious agents in the network. Each…

Systems and Control · Computer Science 2017-01-17 Seyed Mehran Dibaji , Hideaki Ishii

Noticing that both the absolute and relative velocity protocols can solve the second-order consensus of multi-agent systems, this paper aims to investigate which of the above two protocols has better anti-disturbance capability, in which…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Jiamin Wang , Liqi Zhou , Dong Zhang , Jian Liu , Yuanshi Zheng

The hierarchical small-world network is a real-world network. It models well the benefit transmission web of the pyramid selling in China and many other countries. In this paper, by applying the spectral graph theory, we study three…

Methodology · Statistics 2023-03-23 Yunhua Liao , Mohamed Maama , M. A. Aziz-Alaoui

This paper studies the problem of coordinating a group of $n$th-order integrator systems. As for the well-studied conventional consensus problem, we consider linear and distributed control with only local and relative measurements. We…

Optimization and Control · Mathematics 2023-04-25 Jonas Hansson , Emma Tegling

Many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. We show that these two features are the consequence of a hierarchical organization, implying that small…

Statistical Mechanics · Physics 2009-11-07 Erzsebet Ravasz , Albert-Laszlo Barabasi

People organize in groups and contagions spread across them. A simple process, but complex to model due to dynamical correlations within groups and between groups. Groups can also change as agents join and leave them to avoid infection. To…

Physics and Society · Physics 2023-07-24 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

Machine Learning · Statistics 2017-11-15 Yongjin Park , Joel S. Bader

In this paper, we investigate the consensus problem of second-order multiagent systems under directed graphs. Simple yet robust consensus algorithms that advance existing achievements in accounting for velocity and input constraints, agent…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Gang Wang , Zongyu Zuo , Chaoli Wang

n source and destination pairs randomly located in an area want to communicate with each other. Signals transmitted from one user to another at distance r apart are subject to a power loss of r^{-alpha}, as well as a random phase. We…

Information Theory · Computer Science 2007-07-13 Ayfer Ozgur , Olivier Leveque , David Tse

Scale-free power law structure describes complex networks derived from a wide range of real world processes. The extensive literature focuses almost exclusively on networks with power law exponent strictly larger than 2, which can be…

Social and Information Networks · Computer Science 2015-09-29 Harry Crane , Walter Dempsey

The vast majority of real-world networks are scale-free, loopy, and sparse, with a power-law degree distribution and a constant average degree. In this paper, we study first-order consensus dynamics in binary scale-free networks, where…

Systems and Control · Computer Science 2018-01-03 Yuhao Yi , Zhongzhi Zhang , Stacy Patterson

Distributed consensus protocols provide a mechanism for spreading information within clustered networks, allowing agents and clusters to make decisions without requiring direct access to the state of the ensemble. In this work, we propose a…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Federico M. Zegers , Sean Phillips

This paper presents a novel control design for vehicular formations, which is an alternative to the conventional second-order consensus protocol. The design is motivated by the closed-loop system, which we construct as first-order systems…

Optimization and Control · Mathematics 2024-02-26 Jonas Hansson , Emma Tegling

The paper addresses the problem of consensus seeking among second-order linear agents interconnected in a specific ring topology. Unlike the existing results in the field dealing with one-directional digraphs arising in various cyclic…

Multiagent Systems · Computer Science 2018-12-04 Sergei Parsegov , Pavel Chebotarev

This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of…

Systems and Control · Computer Science 2012-02-27 Zhongkui Li , Xiangdong Liu , Mengyin Fu , Lihua Xie

We investigate the performance of m-th order consensus systems with stochastic external perturbations, where a subset of leader nodes incorporates absolute information into their control laws. The system performance is measured by its…

Optimization and Control · Mathematics 2019-06-13 Erika Mackin , Stacy Patterson

In this article, we investigate the convergence behavior of two classes of gathering protocols with fixed circulant topologies using tools from dynamical systems. Given a fixed number of mobile entities moving in the Euclidean plane, we…

Dynamical Systems · Mathematics 2026-04-15 Raphael Gerlach , Sören von der Gracht , Michael Dellnitz

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie
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