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We introduce two models of consensus following a majority rule on time-evolving stochastic block models (SBM), in which the network evolution is Markovian or non-Markovian. Under the majority rule, in each round, each agent simultaneously…

Probability · Mathematics 2022-09-12 Haoyu Wang , Jiaheng Wei , Zhenyuan Zhang

Solving optimization problems in multi-agent systems (MAS) involves information exchange between agents. These solutions must be robust to delays and errors that arise from an unreliable wireless network which typically connects the MAS. In…

Dynamical Systems · Mathematics 2019-12-19 Arunselvan Ramaswamy , Adrian Redder , Daniel E. Quevedo

In this paper we study the problem of social learning under multiple true hypotheses and self-interested agents which exchange information over a graph. In this setup, each agent receives data that might be generated from a different…

Multiagent Systems · Computer Science 2021-10-27 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

Graphs are widely used for modeling relational data in real-world scenarios, such as social networks and urban computing. Existing LLM-based graph analysis approaches either integrate graph neural networks (GNNs) for specific machine…

Artificial Intelligence · Computer Science 2025-11-04 Xin Li , Qizhi Chu , Yubin Chen , Yang Liu , Yaoqi Liu , Zekai Yu , Weize Chen , Chen Qian , Chuan Shi , Cheng Yang

In this paper, a consensus algorithm is proposed for interacting multi-agents, which can be modeled as simple Mechanical Control Systems (MCS) evolving on a general Lie group. The standard Laplacian flow consensus algorithm for double…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Akhil B Krishna , Farshad Khorrami , Anthony Tzes

This work investigates the problem of multi-agents trajectory prediction. Prior approaches lack of capability of capturing fine-grained dependencies among coordinated agents. In this paper, we propose a spatial-temporal trajectory…

Machine Learning · Computer Science 2020-12-22 Ding Ding , H. Howie Huang

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

We study the large-population limit of interacting particle systems evolving on adaptive dynamical networks, motivated in particular by models of opinion dynamics. In such systems, agents interact through weighted graphs whose structure…

Analysis of PDEs · Mathematics 2026-01-13 Nathalie Ayi

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

The paper presents a novel approach for the analysis and control of a multi-agent system with non-identical agents and a path-graph topology. With the help of irrational wave transfer functions, the approach describes the interaction among…

Systems and Control · Computer Science 2016-10-12 Dan Martinec , Ivo Herman , Michael Šebek

This paper studies an optimal consensus problem for a group of heterogeneous high-order agents with unknown control directions. Compared with existing consensus results, the consensus point is further required to an optimal solution to some…

Optimization and Control · Mathematics 2020-07-28 Yutao Tang

In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of macroscopic models to describe multi-agent systems, we adapt…

Optimization and Control · Mathematics 2023-05-03 Benoît Bonnet , Nastassia Pouradier Duteil , Mario Sigalotti

Distributed control increases system scalability, flexibility, and redundancy. Foundational to such decentralisation is consensus formation, by which decision-making and coordination are achieved. However, decentralised multi-agent systems…

Multiagent Systems · Computer Science 2024-03-11 Agathe Bouis , Christopher Lowe , Ruaridh A. Clark , Malcolm Macdonald

It is typical to assume that there is no conflict of interest among leaders. Under such assumption, it is known that, for a multi-agent system with two leaders, if the followers' interaction subgraph is undirected and connected, then…

Systems and Control · Computer Science 2014-10-28 Jingying Ma , Yuanshi Zheng , Bin Wu , Long Wang

Exchangeable random graphs, which include some of the most widely studied network models, have emerged as the mainstay of statistical network analysis in recent years. Graphons, which are the central objects in graph limit theory, provide a…

Statistics Theory · Mathematics 2024-09-17 Anirban Chatterjee , Soham Dan , Bhaswar B. Bhattacharya

This paper proposes an exploration technique for multi-agent reinforcement learning (MARL) with graph-based communication among agents. We assume the individual rewards received by the agents are independent of the actions by the other…

Machine Learning · Computer Science 2025-08-11 Ainur Zhaikhan , Ali H. Sayed

Multi-agent systems (MAS) based on Large Language Models (LLMs) have the potential to solve tasks that are beyond the reach of any single LLM. However, this potential can only be realized when the collaboration mechanism between agents is…

Multiagent Systems · Computer Science 2026-03-10 Nurbek Tastan , Samuel Horvath , Karthik Nandakumar

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

Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of the convex functions, if such minimizers exist, is shown. The…

Optimization and Control · Mathematics 2018-08-06 Rafal Goebel , Ricardo Sanfelice

Graphons, as limits of graph sequences, provide an operator-theoretic framework for analyzing the asymptotic behavior of graph neural operators. Spectral convergence of sampled graphs to graphons induces convergence of the corresponding…

Machine Learning · Statistics 2026-05-26 Roxanne Holden , Luana Ruiz