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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

We present pathwise flocking dynamics and local sensitivity analysis for the Cucker-Smale(C-S) model with random communications and initial data. For the deterministic communications, it is well known that the C-S model can model emergent…

Dynamical Systems · Mathematics 2017-12-13 Seung-Yeal Ha , Shi Jin

The leader-following consensus problem for general linear multi-agent systems over jointly connected switching networks has been a challenging problem and the solvability of the problem has been limited to the class of linear multi-agent…

Optimization and Control · Mathematics 2026-03-20 Yuhan Chen , Tao Liu , Jie Huang

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

Optimization and Control · Mathematics 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

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

This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2012-06-06 Radha F. Gupta , Poom Kumam

We investigate opinion formation in a kinetic exchange opinion model, where opinions are represented by numbers in the real interval $[-1,1]$ and agents are typified by the individual degree of conviction about the opinion that they…

Physics and Society · Physics 2016-02-25 Allan R. Vieira , Celia Anteneodo , Nuno Crokidakis

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

In this paper, we study consensus problem in multi-agent system with directed topology by event-triggered feedback control. That is, at each agent, the diffusion coupling feedbacks are based on the information from its latest observations…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Xinlei Yi , Wenlian Lu , Tianping Chen

Emergence and emergent behaviors are often defined as cases where changes in local interactions between agents at a lower level effectively changes what occurs in the higher level of the system (i.e., the whole swarm) and its properties.…

Robotics · Computer Science 2024-04-01 Ricardo Vega , Connor Mattson , Daniel S. Brown , Cameron Nowzari

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

Optimization and Control · Mathematics 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

In this paper, the optimal consensus problem for general nonlinear multi-agent systems is studied, where both leaderless and leader-follower cases are considered in a unified framework. The key idea is to convert consensus problems into…

Optimization and Control · Mathematics 2026-04-07 Ziyuan Guo , Chuanzhi lv , Liping Zhang , Huanshui Zhang

In this paper, we deal with a Cucker-Smale model with time-dependent time delay and communication failures. Namely, we investigate the situation in which the agents involved in a flocking process can possibly suspend the exchange of…

Optimization and Control · Mathematics 2025-08-19 Elisa Continelli

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

Systems and Control · Computer Science 2019-03-19 Wonseok Ha , Juhoon Back

In a multi-agent system, unconditional (multiple) consensus is the property of reaching to (multiple) consensus irrespective of the instant and values at which states are initialized. For linear algorithms, occurrence of unconditional…

Dynamical Systems · Mathematics 2020-08-04 Sadegh Bolouki , Roland P. Malhame

This paper addresses the problem of positive consensus of directed multi-agent systems with observer-type output-feedback protocols. More specifically, directed graph is used to model the communication topology of the multi-agent system and…

Optimization and Control · Mathematics 2020-09-02 Nachuan Yang , Yonghua Yin , Jinrong Liu

This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

Quantum Physics · Physics 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

This paper investigates the consensus problem for nonlinear heterogeneous multi-agent systems with limited communication data rate. Each agent is modeled by a higher-order strict-feedback continuous-time system with unknown nonlinearities…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Maopeng Ran , Lihua Xie

When designing a distributed control system, the system designer has a choice in how to connect the different units through communication channels. In practice, noiseless and noisy channels may coexist. Using the standard toy example of…

Information Theory · Computer Science 2007-07-13 Anant Sahai

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon