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A Consensus Model according to Deffuant on a directed Barabasi-Albert network was simulated. Agents have opinions on different subjects. A multi-component subject vector was used. The opinions are discrete. The analysis regards distribution…

Disordered Systems and Neural Networks · Physics 2009-11-10 Dirk Jacobmeier

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi

We study a Cucker-Smale-type flocking model with distributed time delay where individuals interact with each other through normalized communication weights. Based on a Lyapunov functional approach, we provide sufficient conditions for the…

Analysis of PDEs · Mathematics 2019-07-16 Young-Pil Choi , Cristina Pignotti

The classic Hegselmann-Krause (HK) model for opinion dynam- ics consists of a set of agents on the real line, each one instructed to move, at every time step, to the mass center of all the agents within a fixed distance R. In this work, we…

Optimization and Control · Mathematics 2015-11-26 Chu Wang , Qianxiao Li , Weinan E , Bernard Chazelle

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for…

Physics and Society · Physics 2013-10-02 Tim Rogers , Thilo Gross

We propose a distributed (single) target tracking scheme based on networked estimation and consensus algorithms over static sensor networks. The tracking part is based on linear time-difference-of-arrival (TDOA) measurement proposed in our…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Mohammadreza Doostmohammadian , Mohammad Pirani , Usman A. Khan

In this work, we derive a new upper bound on the termination time of the Hegselmann-Krause model for opinion dynamics. Using a novel method, we show that the termination rate of this dynamics happens no longer than $O(n^3)$ which improves…

Dynamical Systems · Mathematics 2012-11-20 Soheil Mohajer , Behrouz Touri

Socio-psychological studies have identified a common phenomenon where an individual's public actions do not necessarily coincide with their private opinions, yet most existing models fail to capture the dynamic interplay between these two…

Social and Information Networks · Computer Science 2025-11-12 Chen Song , Vladimir Cvetkovic , Rong Su

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Milad Gholami

A model for continuous-opinion dynamics is proposed and studied by taking advantage of its similarities with a mono-dimensional granular gas. Agents interact as in the Deffuant model, with a parameter $\alpha$ controlling the persuasibility…

Statistical Mechanics · Physics 2021-04-07 Nagi Khalil

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

Distributed averaging of agent initial conditions is a well-studied problem in context of networked systems where coordination amongst the agents is of paramount importance. The asymptotic nature of convergence of distributed averaging…

Optimization and Control · Mathematics 2017-04-28 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Sourav Patel , Murti V. Salapaka

The method of Damage Spreading was used to simulate the influence that a single persons' change of opionion has on the consensus opinion built up in a population if one assumes opinions to form according to the Sznajd Model. The results…

Disordered Systems and Neural Networks · Physics 2009-11-10 Nina Klietsch

We study a Cucker-Smale-type system with time delay in which agents interact with each other through normalized communication weights. We construct a Lyapunov functional for the system and provide sufficient conditions for asymptotic…

Analysis of PDEs · Mathematics 2016-08-25 Young-Pil Choi , Jan Haskovec

We analyze the Cucker-Smale model under hierarchical leadership in presence of a time delay. By using a Lyapunov functional approach and some induction arguments we will prove convergence to consensus for every positive delay $\tau$. These…

Optimization and Control · Mathematics 2018-07-06 Cristina Pignotti , Irene Reche Vallejo

In the model for continuous opinion dynamics introduced by Hegselmann and Krause, each individual moves to the average opinion of all individuals within an area of confidence. In this work we study the effects of noise in this system. With…

Physics and Society · Physics 2014-01-24 Miguel Pineda , Raul Toral , Emilio Hernandez-Garcia

We study multidimensional continuous opinion dynamics, where opinions are nonnegative vectors which components sum up to one. Examples of such opinions are budgets or other allocation vectors which display a distribution of a fixed amount…

Physics and Society · Physics 2010-12-07 Jan Lorenz

This paper studies the consensus problem of general linear discrete-time multi-agent systems (MAS) with input constraints and bounded time-varying communication delays. We propose a robust distributed model predictive control (DMPC)…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Henglai Wei , Changxin Liu , Yang Shi

We developed a statistical mechanics approach to the problem of opinion formation in interacting agents, constrained by a set of social rules, $B$. To provide the agents with an adaptive quality, we represented both the social agents and…

Physics and Society · Physics 2017-06-28 Juan Pablo Neirotti

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

Analysis of PDEs · Mathematics 2020-11-10 Nastassia Duteil , Benedetto Piccoli
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