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We study the distributed consensus of state vectors in a discrete-time multi-agent network with matrix edge weights using stochastic matrix convergence theory. We present a distributed asynchronous time update model wherein one randomly…

Systems and Control · Electrical Eng. & Systems 2025-08-05 P Raghavendra Rao , Pooja Vyavahare

The leader-following consensus problem of multi-agent systems over finite fields ${\mathbb F}_p$ is considered in this paper. Dynamics of each agent is governed by a linear equation over ${\mathbb F}_p$, where a distributed control protocol…

Optimization and Control · Mathematics 2018-02-27 Xiangru Xu , Yiguang Hong

Representation of a swarm of independent robotic agents under graph-theoretic constructs allows for more formal analysis of convergence properties. We consider the local and global convergence behavior of an N-member swarm of agents in a…

Adaptation and Self-Organizing Systems · Physics 2010-10-26 Gregory K. Fricke , Bruce W. Rogers , Devendra P. Garg

In this paper, we propose a new framework to study distributed optimization problems with stochastic gradients by employing a multi-agent system with continuous-time dynamics. Here the goal of the agents is to cooperatively minimize the sum…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Jianhua Sun , Kaihong Lu , Xin Yu

A generic feature of bounded confidence type models is the formation of clusters of agents. We propose and study a variant of bounded confidence dynamics with the goal of inducing unconditional convergence to a consensus. The defining…

Systems and Control · Electrical Eng. & Systems 2020-06-22 Dylan Weber , Sebastien Motsch , GuanLin Li

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 presents the formulation and analysis of a fully distributed dynamic event-triggered communication based robust dynamic average consensus algorithm. Dynamic average consensus problem involves a networked set of agents estimating…

Optimization and Control · Mathematics 2018-09-20 Jemin George , Xinlei Yi , Tao Yang

In this paper, we study the leader-following consensus problem of multiple Euler-Lagrange systems subject to an uncertain leader system. We first establish an adaptive distributed observer for a neutrally stable linear leader system whose…

Systems and Control · Electrical Eng. & Systems 2019-09-18 Shimin Wang , Jie Huang

Leadership in social groups is often a dynamic characteristic that emerges from interactions and opinion exchange. Empirical evidence suggests that individuals with strong opinions tend to gain influence, at the same time maintaining…

Physics and Society · Physics 2026-03-26 Martina Alutto , Lorenzo Zino , Karl H. Johansson , Angela Fontan

We construct a model of strategic imitation in an arbitrary network of players who interact through an additive game. Assuming a discrete time update, we show a condition under which the resulting difference equations converge to consensus.…

Dynamical Systems · Mathematics 2019-04-15 Christopher Griffin , Sarah Rajtmajer , Anna Squicciarini , Andrew Belmonte

We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

Optimization and Control · Mathematics 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

In this paper, a distributed subgradient-based algorithm is proposed for continuous-time multi-agent systems to search a feasible solution to convex inequalities. The algorithm involves each agent achieving a state constrained by its own…

Systems and Control · Computer Science 2017-06-13 Kaihong Lu , Gangshan Jing , Long Wang

In this paper, we investigate the consensus problem of second-order multiagent systems under directed graphs. Simple yet robust consensus algorithms that advance existing achievements in accounting for velocity and input constraints, agent…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Gang Wang , Zongyu Zuo , Chaoli Wang

This paper studies asymptotic consensus in systems in which agents do not necessarily have self-confidence, i.e., may disregard their own value during execution of the update rule. We show that the prevalent hypothesis of self-confidence in…

Dynamical Systems · Mathematics 2015-03-27 Thomas Nowak

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

In this paper we address the consensus problem in the context of networked agents whose communication graph can be split into a certain number of clusters in such a way that interactions between agents in the same clusters are cooperative,…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Giulia De Pasquale , Maria Elena Valcher

In its simplest form the well known consensus problem for a networked family of autonomous agents is to devise a set of protocols or update rules, one for each agent, which can enable all of the agents to adjust or tune their "agreement…

Optimization and Control · Mathematics 2022-09-16 Jingxuan Zhu , Yixuan Lin , Ji Liu , A. Stephen Morse

Most of the distributed protocols for multi-agent consensus assume that the agents are mutually cooperative and "trustful," and so the couplings among the agents bring the values of their states closer. Opinion dynamics in social groups,…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Alexey Matveev , Ming Cao

We study the state consensus problem for linear shift-invariant discrete-time homogeneous multi-agent systems (MASs) over time-varying graphs. A novel approach based on the small gain theorem is proposed to design the consensus control…

Optimization and Control · Mathematics 2017-12-01 Ji-Lie Zhang , Xiang Chen , Guoxiang Gu

This paper introduces a novel distributed consensus-based observer design that enables a group of agents in an undirected communication network to solve the problem of target tracking, where the target is modelled as a chain of integrators…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Marcelo Jacinto , Pedro Trindade , Francisco Rego , Rita Cunha