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In this work we consider a collective decision-making process in a network of agents described by a nonlinear interconnected dynamical model with sigmoidal nonlinearities and signed interaction graph. The decisions are encoded in the…

Optimization and Control · Mathematics 2021-10-06 Angela Fontan , Claudio Altafini

In social learning, agents form their opinions or beliefs about certain hypotheses by exchanging local information. This work considers the recent paradigm of weak graphs, where the network is partitioned into sending and receiving…

Multiagent Systems · Computer Science 2020-02-13 Vincenzo Matta , Virginia Bordignon , Augusto Santos , Ali H. Sayed

The structural balance of a signed graph is known to be necessary and sufficient to obtain a bipartite consensus among agents with friend-foe relationships. In the real world, relationships are multifarious, and the coexistence of different…

Systems and Control · Electrical Eng. & Systems 2023-11-09 Honghui Wu , Ahmet Taha Koru , Guanxuan Wu , Frank L. Lewis , Hai Lin

We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions $\{0,1\}$ form groups. They can change their opinion based on their group's influence (voter dynamics), but groups can…

Physics and Society · Physics 2022-05-25 Nikos Papanikolaou , Giacomo Vaccario , Erik Hormann , Renaud Lambiotte , Frank Schweitzer

Most previous studies on multi-agent reinforcement learning focus on deriving decentralized and cooperative policies to maximize a common reward and rarely consider the transferability of trained policies to new tasks. This prevents such…

Machine Learning · Computer Science 2019-11-28 Heechang Ryu , Hayong Shin , Jinkyoo Park

The constrained consensus problem considered in this paper, denoted interval consensus, is characterized by the fact that each agent can impose a lower and upper bound on the achievable consensus value. Such constraints can be encoded in…

Systems and Control · Computer Science 2018-02-06 Angela Fontan , Guodong Shi , Xiaoming Hu , Claudio Altafini

The growing integration of distributed energy resources drives the centralized power system towards a decentralized multi-agent network. Operating multi-agent networks significantly relies on inter-agent communications. Computation…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Yuhan Du , Javad Mohammadi

This technical note addresses the distributed fixed-time consensus protocol design problem for multi-agent systems with general linear dynamics over directed communication graphs. By using motion planning approaches, a class of distributed…

Systems and Control · Computer Science 2016-05-27 Yu Zhao , Yongfang Liu , Guanrong Chen

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

In this paper, cluster consensus of multi-agent systems is studied via inter-cluster nonidentical inputs. Here, we consider general graph topologies, which might be time-varying. The cluster consensus is defined by two aspects: the…

Optimization and Control · Mathematics 2015-03-20 Yujuan Han , Wenlian Lu , Tianping Chen

In this paper, we propose several consensus protocols of the first and second order for networked multi-agent systems and provide explicit representations for their asymptotic states. These representations involve the eigenprojection of the…

Optimization and Control · Mathematics 2018-11-27 Rafig Agaev , Pavel Chebotarev

Consensus dynamics in decentralised multiagent systems are subject to intense studies, and several different models have been proposed and analysed. Among these, the naming game stands out for its simplicity and applicability to a wide…

Multiagent Systems · Computer Science 2016-01-21 Vito Trianni , Daniele De Simone , Andreagiovanni Reina , Andrea Baronchelli

Can classical consensus models predict the group behavior of large language models (LLMs)? We examine multi-round interactions among LLM agents through the DeGroot framework, where agents exchange text-based messages over diverse…

Social and Information Networks · Computer Science 2026-01-30 Iris Yazici , Mert Kayaalp , Stefan Taga , Ali H. Sayed

The paper presents a result which relates connectedness of the interaction graphs in a multi-agent systems with the capability for global convergence to a common equilibrium of the system. In particular we extend a previously known result…

Optimization and Control · Mathematics 2007-05-23 David Angeli , Pierre-Alexandre Bliman

Through an eigenanalysis of small perturbations, as typically done in small-signal stability studies, we intend to discover the underlying reasons that make those perturbations propagate in some way or another in the grid. To this end, we…

Physics and Society · Physics 2020-02-05 Luiscarlos A. Torres-Sánchez , Giuseppe T. Freitas de Abreu , Stefan Kettemann

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

This paper considers predicting future statuses of multiple agents in an online fashion by exploiting dynamic interactions in the system. We propose a novel collaborative prediction unit (CoPU), which aggregates the predictions from…

Artificial Intelligence · Computer Science 2021-07-05 Maosen Li , Siheng Chen , Yanning Shen , Genjia Liu , Ivor W. Tsang , Ya Zhang

The study of complex systems benefits from graph models and their analysis. In particular, the eigendecomposition of the graph Laplacian lets emerge properties of global organization from local interactions; e.g., the Fiedler vector has the…

Machine Learning · Computer Science 2017-06-28 Dimitri Van De Ville , Robin Demesmaeker , Maria Giulia Preti

A large number of real-world networks include multiple types of nodes and edges. Graph Neural Network (GNN) emerged as a deep learning framework to generate node and graph embeddings for downstream machine learning tasks. However, popular…

Machine Learning · Computer Science 2024-11-26 Ziynet Nesibe Kesimoglu , Serdar Bozdag

In recent years, unsupervised and self-supervised graph representation learning has gained popularity in the research community. However, most proposed methods are focused on homogeneous networks, whereas real-world graphs often contain…

Machine Learning · Computer Science 2024-02-29 Piotr Bielak , Tomasz Kajdanowicz