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Extended connectivity in graphs can be analyzed through k-path Laplacian matrices, which permit the capture of long-range interactions in various real-world networked systems such as social, transportation, and multi-agent networks. In this…

Social and Information Networks · Computer Science 2025-04-10 Yusef Ahsini , Belén Reverte , J. Alberto Conejero

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

Optimization and Control · Mathematics 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-06 Elyar Zavary , Mahdi Sojoodi

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

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

Recent advances in Large Language Models (LLMs) have enabled multi-agent systems that simulate real-world interactions with near-human reasoning. While previous studies have extensively examined biases related to protected attributes such…

Artificial Intelligence · Computer Science 2025-06-03 Min Choi , Keonwoo Kim , Sungwon Chae , Sangyeob Baek

This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of…

Systems and Control · Computer Science 2012-02-27 Zhongkui Li , Xiangdong Liu , Mengyin Fu , Lihua Xie

To reach consensus among interacting agents is a problem of interest for social, economical, and political systems. A computational and mathematical framework to investigate consensus dynamics on complex networks is naming games. In…

Physics and Society · Physics 2018-09-10 Zhong-Yan Fan , Ying-Cheng Lai , Wallace Kit-Sang Tang

In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed. Decentralized consensus protocols are proposed to address…

Systems and Control · Computer Science 2015-09-24 A. Pilloni , A. Pisano , Y. Orlov , E. Usai

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

This paper focuses on analyzing the finite-time convergence of a nonlinear consensus algorithm for multi-agent networks with unknown inherent nonlinear dynamics. Due to the existence of the unknown inherent nonlinear dynamics, the stability…

Optimization and Control · Mathematics 2013-02-21 Yongcan Cao , Wei Ren

This paper addresses the consensus problem of first-order continuous-time multi-agent systems over undirected graphs. Each agent samples relative state measurements in a self-triggered fashion and transmits the sum of the measurements to…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Masashi Wakaiki

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

The rapid proliferation of recent Multi-Agent Systems (MAS), where Large Language Models (LLMs) and Large Reasoning Models (LRMs) usually collaborate to solve complex problems, necessitates a deep understanding of the persuasion dynamics…

Artificial Intelligence · Computer Science 2025-09-26 Haodong Zhao , Jidong Li , Zhaomin Wu , Tianjie Ju , Zhuosheng Zhang , Bingsheng He , Gongshen Liu

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

Large Language Models (LLMs) have shown exceptional results on current benchmarks when working individually. The advancement in their capabilities, along with a reduction in parameter size and inference times, has facilitated the use of…

Computation and Language · Computer Science 2024-06-27 Alfonso Amayuelas , Xianjun Yang , Antonis Antoniades , Wenyue Hua , Liangming Pan , William Wang

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we…

Optimization and Control · Mathematics 2024-06-06 Benoît Bonnet-Weill , Mario Sigalotti

In this paper, we discuss the methodology of generalizing the optimal control law from learned component tasks to unlearned composite tasks on Multi-Agent Systems (MASs), by using the linearity composition principle of linearly solvable…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Lin Song , Neng Wan , Aditya Gahlawat , Naira Hovakimyan , Evangelos A. Theodorou

We investigate the emergent collective dynamics of LLM-based multi-agent systems on a 2D square lattice and present a model-agnostic statistical-physics method to disentangle social conformity from intrinsic bias, compute critical…

Statistical Mechanics · Physics 2026-05-12 Cristiano De Nobili
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