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An event-triggered control technique for consensus of multi-agent systems with general linear dynamics is presented. This paper extends previous work to consider agents that are connected using directed graphs. Additionally, the approach…

Optimization and Control · Mathematics 2015-02-13 Eloy Garcia , Yongcan Cao , Xiaofeng Wang , David W. Casbeer

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

The q-voter model, a variant of the classic voter model, has been analyzed by several authors: while allowing to study opinion dynamics, this model is also believed to be one of the most representative among the many defined in the wide…

Physics and Society · Physics 2015-10-26 Marco Alberto Javarone , Tiziano Squartini

Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

Physics and Society · Physics 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

Recent studies show that many types of human social activities, from scientific collaborations to sexual contacts, can be understood in terms of complex network of interactions. Such networking paradigm allows to model many aspects of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

We present consensus analysis of systems with single integrator dynamics interacting via time-varying graphs under the event-triggered control paradigm. Event-triggered control sparsifies the control applied, thus reducing the control…

Systems and Control · Computer Science 2017-05-03 S. Arun Kumar , N. R. Chowdhury , S. Srikant , J. Raisch

In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay satisfies a suitable smallness assumption. Our main strategies…

Analysis of PDEs · Mathematics 2019-09-09 Young-Pil Choi , Alessandro Paolucci , Cristina Pignotti

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

A nonlinear time-delay model is proposed to describe the interaction dynamics between criminal and non-criminal populations, combining social influence mechanisms, saturation effects represented by a Holling type II functional response, and…

Dynamical Systems · Mathematics 2026-05-25 Pablo Amster , Andrés Rivera , Sebastián Pedersen

We present an introduction to a novel model of an individual and group opinion dynamics, taking into account different ways in which different sources of information are filtered due to cognitive biases. The agent based model, using…

Physics and Society · Physics 2017-03-07 Pawel Sobkowicz

In this paper, robust finite-time consensus of a group of nonlinear multi-agent systems in the presence of communication time delays is considered. In particular, appropriate delay-dependent strategies which are less conservative are…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Maryam Sharifi

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

Physics and Society · Physics 2021-10-22 Joseph William Baron

Opinions and beliefs determine the evolution of social systems. This is of particular interest in finance, as the increasing complexity of financial systems is coupled with information overload. Opinion formation, therefore, is not always…

General Finance · Quantitative Finance 2014-08-05 Marco D'Errico , Gulnur Muradoglu , Silvana Stefani , Giovanni Zambruno

Achieving safety in autonomous multi-agent systems, particularly in time-critical tasks like rendezvous, is a critical challenge. In this paper, we propose a distributionally robust risk framework for analyzing cascading failures in…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Vivek Pandey , Nader Motee

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range…

Social and Information Networks · Computer Science 2024-09-18 Juan Paz , Camilo Rocha , Luis Tobòn , Frank Valencia

Networked multi-agent dynamical systems have been used to model how individual opinions evolve over time due to the opinions of other agents in the network. Particularly, such a model has been used to study how a planning agent can be used…

Social and Information Networks · Computer Science 2026-03-19 Sheryl Paul , Leslie Cruz Juarez , Jyotirmoy V. Deshmukh , Ketan Savla

The problem of analyzing the performance of networked agents exchanging evidence in a dynamic network has recently grown in importance. This problem has relevance in signal and data fusion network applications and in studying opinion and…

Social and Information Networks · Computer Science 2016-05-26 Ranga Dabarera , Kamal Premaratne , Manohar N. Murthi , Dilip Sarkar
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