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Related papers: Consensus dynamics on temporal hypergraphs

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In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

Dynamical Systems · Mathematics 2026-04-20 Hui Wu

By incorporating a multilayer network and time-decaying memory into the original voter model, the coupled effects of spatial and temporal cumulation of peer pressure on consensus are investigated. Heterogeneity in peer pressure and…

Physics and Society · Physics 2016-05-25 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Chen-Yang Zhong , Tian Qiu , Yong-Dong Shi , Li-Liang Wang

In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Orhan Eren Akgün , Sarper Aydın , Stephanie Gil , Angelia Nedić

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

Physics and Society · Physics 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza

People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions between people in the form of dyadic relationships, but…

Social and Information Networks · Computer Science 2021-08-11 Abigail Hickok , Yacoub Kureh , Heather Z. Brooks , Michelle Feng , Mason A. Porter

Time-varying community structures widely exist in various real-world networks. However, the spreading dynamics on this kind of network has not been fully studied. To this end, we systematically study the effects of time-varying community…

Physics and Society · Physics 2017-05-17 Mian-Xin Liu , Wei Wang , Ying Liu , Ming Tang , Shi-Min Cai , Hai-Feng Zhang

This paper studies opinion dynamics in multilayer (social) networks. Extending a single-layer model, we formulate opinion updates as a synchronous coordination game in which agents minimize a local cost to stay close to their neighbors'…

Computer Science and Game Theory · Computer Science 2026-05-21 Ruey-An Shiu , Parinaz Naghizadeh

We study the effect of communication delays on distributed consensus algorithms. Two ways to model delays on a network are presented. The first model assumes that each link delivers messages with a fixed (constant) amount of delay, and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-26 Konstantinos I. Tsianos , Michael G. Rabbat

In this paper, the question of expected time to convergence is addressed for unbiased quantized consensus on undirected connected graphs, and some strong results are obtained. The paper first provides a tight expression for the expected…

Systems and Control · Computer Science 2016-11-18 Seyed Rasoul Etesami , Tamer Basar

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

Optimization and Control · Mathematics 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

Optimization and Control · Mathematics 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

The constrained consensus problem considered in this paper, denoted interval consensus, is characterized by the fact that each agent can impose a lower and upper bound on the achievable consensus value. Such constraints can be encoded in…

Systems and Control · Computer Science 2018-02-06 Angela Fontan , Guodong Shi , Xiaoming Hu , Claudio Altafini

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

We study the popular distributed consensus method over networks composed of a number of densely connected clusters with a sparse connection between them. In these cluster networks, the method often constitutes two-time-scale dynamics, where…

Optimization and Control · Mathematics 2022-09-14 Amit Dutta , Almuatazbellah M. Boker , Thinh T. Doan

We delve into the dynamics of opinions within a multiplex network using coordination games, where agents communicate either in a one-way or two-way interactions, and where a designated leader may be present. By employing graph theory and…

Systems and Control · Electrical Eng. & Systems 2024-02-16 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

Social and Information Networks · Computer Science 2026-03-26 Gianfelice Michele , Giuseppe Scola

In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of macroscopic models to describe multi-agent systems, we adapt…

Optimization and Control · Mathematics 2023-05-03 Benoît Bonnet , Nastassia Pouradier Duteil , Mario Sigalotti

The explosion of digital information and the growing involvement of people in social networks led to enormous research activity to develop methods that can extract meaningful information from interaction data. Commonly, interactions are…

Machine Learning · Computer Science 2023-04-04 Tony Gracious , Ambedkar Dukkipati