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In this paper we generalise the results on eigenvalues and eigenvectors of unnormalized (combinatorial) Laplacian of two-dimensional grid presented by Edwards:2013 first to a grid graph of any dimension, and second also to other types of…

Classical Analysis and ODEs · Mathematics 2019-09-02 Mieczysław A. Kłopotek

Reinforcement learning (RL) algorithms have been around for decades and employed to solve various sequential decision-making problems. These algorithms however have faced great challenges when dealing with high-dimensional environments. The…

Machine Learning · Computer Science 2020-04-01 Thanh Thi Nguyen , Ngoc Duy Nguyen , Saeid Nahavandi

This chapter aims at reviewing complex networks models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the…

Physics and Society · Physics 2015-04-22 Luis M. Varela , Giulia Rotundo , Marcel Ausloos , Jesus Carrete

This paper develops a general framework for multi-agent control synthesis, which applies to a wide range of problems with convergence guarantees, including those with time-varying objective functions. The proposed framework achieves…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Ruoyu Lin , Gennaro Notomista , Magnus Egerstedt

Multi-Agent Large Language Models (LLMs) are gaining significant attention for their ability to harness collective intelligence in complex problem-solving, decision-making, and planning tasks. This aligns with the concept of the wisdom of…

Multiagent Systems · Computer Science 2025-01-03 Abdullah Mushtaq , Muhammad Rafay Naeem , Ibrahim Ghaznavi , Muhammad Imran Taj , Imran Hashmi , Junaid Qadir

We propose a distributed control algorithm for a multi-agent network whose agents deploy over a cluttered region in accordance with a time-varying coverage density function while avoiding collisions with all obstacles they encounter. Our…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Alaa Z. Abdulghafoor , Efstathios Bakolas

Many potential applications of reinforcement learning in the real world involve interacting with other agents whose numbers vary over time. We propose new neural policy architectures for these multi-agent problems. In contrast to other…

Machine Learning · Computer Science 2019-06-03 Matthew A. Wright , Roberto Horowitz

Adaptive model predictive control (MPC) robustly ensures safety while reducing uncertainty during operation. In this paper, a distributed version is proposed to deal with network systems featuring multiple agents and limited communication.…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Anilkumar Parsi , Ahmed Aboudonia , Andrea Iannelli , John Lygeros , Roy S. Smith

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

During last decade, multi-level agent-based modeling has received significant and dramatically increasing interest. In this article we present a comprehensive and structured review of literature on the subject. We present the main…

Multiagent Systems · Computer Science 2013-11-18 Gildas Morvan

Unmanned Aerial Vehicles (UAVs) have been increasingly used in the context of remote sensing missions such as target search and tracking, mapping, or surveillance monitoring. In the first part of our paper we consider agent dynamics,…

Dynamical Systems · Mathematics 2023-08-21 Richard Carney , Monique Chyba , Chris Gray , Corey Shanbrom , George Wilkens

We consider a multi-agent reinforcement learning problem where each agent seeks to maximize a shared reward while interacting with other agents, and they may or may not be able to communicate. Typically the agents do not have access to…

Multiagent Systems · Computer Science 2021-04-26 Alex Tong Lin , Mark J. Debord , Katia Estabridis , Gary Hewer , Guido Montufar , Stanley Osher

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

Distributed Constraint Optimization Problems (DCOPs) offer a powerful framework for multi-agent coordination but often rely on labor-intensive, manual problem construction. To address this, we introduce VL-DCOPs, a framework that takes…

Artificial Intelligence · Computer Science 2025-01-27 Saaduddin Mahmud , Dorian Benhamou Goldfajn , Shlomo Zilberstein

We address density control problems for large-scale multi-agent systems in leader-follower settings, where a group of controllable leaders must steer a population of followers toward a desired spatial distribution. Unlike prior work, we…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo

Multi-agent approach has become popular in computer science and technology. However, the conventional models of multi-agent and multicomponent systems implicitly or explicitly assume existence of absolute time or even do not include time in…

Multiagent Systems · Computer Science 2017-11-23 Mark Burgin

Real-world social and/or operational networks consist of agents with associated states, whose connectivity forms complex topologies. This complexity is further compounded by interconnected information layers, consisting, for instance,…

Social and Information Networks · Computer Science 2016-02-22 Shahin Mahdizadehaghdam , Han Wang , Hamid Krim , Liyi Dai

Multi-agent coordination control usually involves a potential function that encodes information of a global control task, while the control input for individual agents is often designed by a gradient-based control law. The property of…

Systems and Control · Computer Science 2018-05-09 Zhiyong Sun , Toshiharu Sugie

Large Language Models (LLMs) have shown remarkable reasoning capabilities in mathematical and scientific tasks. To enhance complex reasoning, multi-agent systems have been proposed to harness the collective intelligence of LLM agents.…

Artificial Intelligence · Computer Science 2025-10-22 Zhenyu Bi , Meng Lu , Yang Li , Swastik Roy , Weijie Guan , Morteza Ziyadi , Xuan Wang
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