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In this paper, we present new results on consensus for continuous-time multi- agent systems. We introduce the assumptions of persistent connectivity of the interaction graph and of slow divergence of reciprocal interaction weights.…

Optimization and Control · Mathematics 2012-11-07 Samuel Martin , Antoine Girard

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the…

Optimization and Control · Mathematics 2017-09-21 Mathias Hudoba de Badyn , Siavash Alemzadeh , Mehran Mesbahi

This paper studies the consensus control problem faced with three essential demands, namely, discrete control updating for each agent, discrete-time communications among neighboring agents, and the fully distributed fashion of the…

Systems and Control · Electrical Eng. & Systems 2022-11-01 Bin Cheng , Yuezu Lv , Zhongkui Li , Zhisheng Duan

This paper investigates the impact of bounded actuation on the connectivity-preserving consensus of two classes of multi-agent systems, with kinematic agents and with Euler- Lagrange agents. The investigation establishes that: (1) there…

Optimization and Control · Mathematics 2018-03-28 Yuan Yang , Daniela Constantinescu , Yang Shi

We study the pairwise bounded confidence model on scale-free networks where new agents regularly arrive over time. The probability that arriving agents form links to preexisting ones depends on both agent degree and opinion proximity. In…

Physics and Society · Physics 2025-07-01 David Hernandez , Guillaume Deffuant , Yerali Gandica

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

Physics and Society · Physics 2012-05-29 S. R. Souza , S. Goncalves

Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their discrete-time counterparts over time-varying graphs in…

Optimization and Control · Mathematics 2021-05-18 Anton V. Proskurnikov , Giuseppe Carlo Calafiore

This paper focuses on the consensus and formation problems of multiagent systems under unknown persistent disturbances. Specifically, we propose a novel method that combines an existing consensus (or formation) algorithm with a new…

Optimization and Control · Mathematics 2013-10-15 Tansel Yucelen , Magnus Egerstedt

This paper addresses the bipartite consensus-control problem in open multi-agent systems containing both cooperative and antagonistic interactions. In these systems, new agents can join and new interactions can be formed over time.…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas

Bounded-confidence models in social dynamics describe multi-agent systems, where each individual interacts only locally with others. Several models are written as systems of ordinary differential equations with discontinuous right-hand…

Optimization and Control · Mathematics 2021-01-07 Benedetto Piccoli , Francesco Rossi

Recently, significant attention has been dedicated to the models of opinion dynamics in which opinions are described by real numbers, and agents update their opinions synchronously by averaging their neighbors' opinions. The neighbors of…

Dynamical Systems · Mathematics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

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

We study continuous-time consensus dynamics for multi-agent systems with undirected switching interaction graphs. We establish a necessary and sufficient condition for exponential asymptotic consensus based on the classical theory of…

Systems and Control · Computer Science 2016-08-10 Brian D. O. Anderson , Guodong Shi , Jochen Trumpf

We consider the distributed leader-follower consensus problem with event-triggered communications. The system under consideration is a non-linear input-affine multi agent system. The agents are assumed to have identical dynamics structure…

Optimization and Control · Mathematics 2023-03-06 Mathieu Marchand , Vincent Andrieu , Sylvain Bertrand , Hélène Piet-Lahanier

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

This paper investigates event-triggered consensus tracking in nonlinear semi-strict-feedback multi-agent systems involving one leader and multiple followers. We first employ radial basis function neural networks and backstepping techniques…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Ziming Wang , Yun Gao , Apostolos I. Rikos , Ning Pang , Yiding Ji

Bounded confidence models of opinion dynamics have been actively studied in recent years, in particular, opinion formation and extremism propagation along with other aspects of social dynamics. In this work, after an analysis of limitations…

Physics and Society · Physics 2015-05-27 Evguenii Kurmyshev , Héctor A. Juárez , Ricardo A. González-Silva

Consensus over networked agents is typically studied using undirected or directed communication graphs. Undirected graphs enforce symmetry in information exchange, leading to convergence to the average of initial states, while directed…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

This paper considers the leader-follower control problem for a linear multi-agent system with directed communication topology and linear nonidentical uncertain coupling subject to integral quadratic constraints (IQCs). A consensus-type…

Systems and Control · Computer Science 2013-09-03 Yi Cheng , V. Ugrinovskii , Guanghui Wen