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We introduce a DeGroot-based model for opinion dynamics in social networks. A community of agents is represented as a weighted directed graph whose edges indicate how much agents influence one another. The model is formalized using labeled…

Social and Information Networks · Computer Science 2024-09-09 Jesús Aranda , Sebastián Betancourt , Juan Fco. Díaz , Frank Valencia

A large portion of today's big data can be represented as networks. However, not all networks are the same, and in fact, for many that have additional complexities to their structure, traditional general network analysis methods are no…

Social and Information Networks · Computer Science 2019-09-16 Tyler Derr , Cassidy Johnson , Yi Chang , Jiliang Tang

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

Optimization and Control · Mathematics 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

This work shows an approach to achieve output consensus among heterogeneous agents in a multi-agent environment where each agent is subject to input constraints. The communication among agents is described by a time-varying…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Chong Jin Ong , Bonan Hou

The design of sensor networks capable of reaching a consensus on a globally optimal decision test, without the need for a fusion center, is a problem that has received considerable attention in the last years. Many consensus algorithms have…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

Optimization and Control · Mathematics 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

Consensus formation is pivotal in multi-agent systems (MAS), balancing collective coherence with individual diversity. Conventional LLM-based MAS primarily rely on explicit coordination, e.g., prompts or voting, risking premature…

Multiagent Systems · Computer Science 2025-05-20 Zengqing Wu , Takayuki Ito

Is there an equilibrium for distributed consensus when all agents except one collude to steer the decision value towards their preference? If an equilibrium exists, then an $n-1$ size coalition cannot do better by deviating from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Yehuda Afek , Itay Harel , Amit Jacob-Fanani , Moshe Sulamy

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones…

Systems and Control · Computer Science 2013-04-29 Julien M. Hendrickx , John N. Tsitsiklis

This paper considers the consensusability of multi-agent systems with delay and packet dropout. By proposing a kind of predictor-like protocol, sufficient and necessary conditions are given for the mean-square consensusability in terms of…

Optimization and Control · Mathematics 2018-04-23 Juanjuan Xu , Huanshui Zhang , Lihua Xie

Multi-agent coordination algorithms with randomized interactions have seen use in a variety of settings in the multi-agent systems literature. In some cases, these algorithms can be random by design, as in a gossip-like algorithm, and in…

Optimization and Control · Mathematics 2017-03-22 Matthew T. Hale , Magnus Egerstedt

This paper aims to provide a new perspective on the interplay between decentralization -- a prevalent character of multi-agent systems -- and centralization, i.e., the task of imposing central control to meet system-level goals. In…

Social and Information Networks · Computer Science 2022-10-31 Yiping Liu , Jiamou Liu , Bakhadyr Khoussaino , Miao Qiao , Bo Yan

The paper considers the problem of multi-agent consensus in the presence of adversarial agents which may try to prevent and introduce undesired influence on the coordination among the regular agents. To our setting, we extend the so-called…

Systems and Control · Electrical Eng. & Systems 2020-12-25 Hiroki Matsume , Yuan Wang , Hideaki Ishii

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

Average consensus (AC) strategies play a key role in every system that employs cooperation by means of distributed computations. To promote consensus, an $N$-agent network can repeatedly combine certain node estimates until their mean value…

Optimization and Control · Mathematics 2025-02-25 Ricardo Merched

Collective phenomena in systems of interacting agents have helped us understand diverse social, ecological and biological observations. The corresponding explanations are challenged by incorrect information processing. In particular, the…

Physics and Society · Physics 2022-04-08 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren
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