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We consider the general properties of the replicator dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of such system has been studied. Lyaponuv function for…

无序系统与神经网络 · 物理学 2007-05-23 A. A. Prykarpatsky , V. V. Gafiychuk

With recent advances in Large Language Models (LLMs), Agentic AI has become phenomenal in real-world applications, moving toward multiple LLM-based agents to perceive, learn, reason, and act collaboratively. These LLM-based Multi-Agent…

人工智能 · 计算机科学 2025-01-14 Khanh-Tung Tran , Dung Dao , Minh-Duong Nguyen , Quoc-Viet Pham , Barry O'Sullivan , Hoang D. Nguyen

Though commonly found in the real world, directed networks have received relatively less attention from the literature in which concerns their topological and dynamical characteristics. In this work, we develop a magnetic Laplacian-based…

社会与信息网络 · 计算机科学 2018-12-11 Bruno Messias , Luciano da F. Costa

This survey investigates foundational technologies essential for developing effective Large Language Model (LLM)-based multi-agent systems. Aiming to answer how best to optimize these systems for collaborative, dynamic environments, we…

多智能体系统 · 计算机科学 2025-04-04 R. M. Aratchige , W. M. K. S. Ilmini

Active-passive multiagent systems consist of agents subject to inputs (active agents) and agents with no inputs (passive agents), where active and passive agent roles are considered to be interchangeable in order to capture a wide array of…

系统与控制 · 电气工程与系统科学 2020-10-07 Ehsan Arabi , Dimitra Panagou , Tansel Yucelen

In this report we provide a decentralized robust control approach, which guarantees that connectivity of a multi-agent network is maintained when certain bounded input terms are added to the control strategy. Our main motivation for this…

系统与控制 · 计算机科学 2015-03-25 Dimitris Boskos , Dimos V. Dimarogonas

Formal modelling of Multi-Agent Systems (MAS) is a challenging task due to high complexity, interaction, parallelism and continuous change of roles and organisation between agents. In this paper we record our research experience on formal…

多智能体系统 · 计算机科学 2010-08-20 Petros Kefalas , Ioanna Stamatopoulou

The current paper addresses the distributed guaranteed-performance consensus design problems for general high-order linear multiagent systems with leaderless and leader-follower structures, respectively. The information about the Laplacian…

多智能体系统 · 计算机科学 2018-06-27 Jianxiang Xi , Jie Yang , Hao Liu , Tang Zheng

The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

最优化与控制 · 数学 2023-02-27 Benedetto Piccoli

Geometric pattern formation is an important emergent behavior in many applications involving large-scale multi-agent systems, such as sensor networks deployment and collective transportation. Attraction/repulsion virtual forces are the most…

系统与控制 · 电气工程与系统科学 2023-10-04 Andrea Giusti , Marco Coraggio , Mario di Bernardo

The aim of this work is to define a planner that enables robust legged locomotion for complex multi-agent systems consisting of several holonomically constrained quadrupeds. To this end, we employ a methodology based on behavioral systems…

机器人学 · 计算机科学 2022-11-15 Randall T Fawcett , Leila Amanzadeh , Jeeseop Kim , Aaron D Ames , Kaveh Akbari Hamed

The existing results on controllability of multi-agents networks are mostly based on homogeneous nodes. This paper focuses on controllability of heterogeneous multi-agent networks, where the agents are modeled as two types. One type is that…

最优化与控制 · 数学 2017-08-11 Bin Zhao , Michael Z. Q. Chen , Yongqiang Guan , Long Wang

This paper proposes a quantum framework for the design of communication topologies in consensus-based multi-agent systems. The communication graph is selected online by solving a mixed-integer quadratic program (MIQP) that minimizes a cost…

系统与控制 · 电气工程与系统科学 2026-02-09 Milad Hasanzadeh , Amin Kargarian

In formation control, an ensemble of autonomous agents is required to stabilize at a given configuration in the plane, doing so while agents are allowed to observe only a subset of the ensemble. As such, formation control provides a rich…

最优化与控制 · 数学 2011-10-07 M. -A. Belabbas

This paper investigates the use of methods from partial differential equations and the Calculus of variations to study learning problems that are regularized using graph Laplacians. Graph Laplacians are a powerful, flexible method for…

机器学习 · 统计学 2020-06-30 Nicolas Garcia Trillos , Ryan Murray

We present efficient algorithms for approximately solving systems of linear equations in $1$-Laplacians of well-shaped simplicial complexes up to high precision. $1$-Laplacians, or higher-dimensional Laplacians, generalize graph Laplacians…

数据结构与算法 · 计算机科学 2023-08-01 Ming Ding , Peng Zhang

Large Language Models (LLMs) have demonstrated remarkable capabilities in solving various tasks, yet they often struggle with comprehensively addressing complex and vague problems. Existing approaches, including multi-agent LLM systems,…

多智能体系统 · 计算机科学 2024-07-11 Sumedh Rasal , E. J. Hauer

We introduce a framework for reaching a consensus amongst several agents communicating via a trust network on conflicting information about their environment. We formalise our approach and provide an empirical and theoretical analysis of…

人工智能 · 计算机科学 2020-04-07 Bruno Yun , Madalina Croitoru

Recent work in the field of multi-agent systems has sought to use techniques and concepts from the field of formal methods to provide rigorous theoretical analysis and guarantees on complex systems where multiple agents strategically…

计算机科学与博弈论 · 计算机科学 2026-04-28 Senthil Rajasekaran , Moshe Y. Vardi

The problem of multi-agent learning and adaptation has attracted a great deal of attention in recent years. It has been suggested that the dynamics of multi agent learning can be studied using replicator equations from population biology.…

机器学习 · 计算机科学 2011-09-26 Aram Galstyan