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Two finite-time consensus protocols are proposed for multi-dimensional multi-agent systems, using direction-preserving and component-wise signum controls respectively. Filippov solutions and non-smooth analysis techniques are adopted to…

Optimization and Control · Mathematics 2017-05-08 Jieqiang Wei , Bart Besselink , Junfeng Wu , Henrik Sandberg , Karl H. Johansson

This paper investigates the effect of constant time delay in weakly connected multi-agent systems modeled by double integrator dynamics. A novel analytical approach is proposed to establish an upper bound on the permissible time delay that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Layan Badran , Kiarash Aryankia , Rastko R. Selmic

This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

Optimization and Control · Mathematics 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

We argue that statistical mechanics of systems with relaxation implies breaking the energy function of systems into two having different transformation rules. With this duality the energy approach incorporates the generalized vortex forces.…

General Physics · Physics 2013-05-23 V. E. Shapiro

This paper presents the design and analysis of the finite/fixed-time scaled consensus for multiagent systems. A study on a generic attracting law, the certain classes of nonlinear systems that admit attractors with finite/fixed-time…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Mingxuan Sun , Xing Li

This paper studies the consensus problem of multi-agent systems with asymmetric and reducible topologies. Centralized event-triggered rules are provided so as to reduce the frequency of system's updating. The diffusion coupling feedbacks of…

Adaptation and Self-Organizing Systems · Physics 2014-07-08 Xinlei Yi , Wenlian Lu , Tianping Chen

The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium…

Physics and Society · Physics 2009-07-16 Ignacio Gallo

Conventional control of fluid systems does not consider system-wide knowledge for optimising energy efficient operation. Distributed control of fluid systems combines reliable local control of components while using system-wide cooperation…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Kevin T. Logan , J. Marius Stürmer , Tim M. Müller , Peter F. Pelz

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

Populations and Evolution · Quantitative Biology 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen

Multi-agent collaboration has emerged as a pivotal paradigm for addressing complex, distributed tasks in large language model (LLM)-driven applications. While prior research has focused on high-level architectural frameworks, the granular…

Multiagent Systems · Computer Science 2025-05-20 Haochun Wang , Sendong Zhao , Jingbo Wang , Zewen Qiang , Bing Qin , Ting Liu

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

This work proposes a first approach towards a neo-Gibbsian thermodynamic theory for social systems, grounded in quantifiable economic and cultural parameters, while deliberately avoiding direct analogies with classical thermodynamic…

Physics and Society · Physics 2025-06-17 Victor Alcides Guzman Rodriguez , Esneiber Hibraim Solano Herrera

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

Probability · Mathematics 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

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

The relation between saddle points of the potential of a classical many-particle system and the analyticity properties of its thermodynamic functions is studied. For finite systems, each saddle point is found to cause a nonanalyticity in…

Statistical Mechanics · Physics 2011-11-09 Michael Kastner , Oliver Schnetz , Steffen Schreiber

We discuss recent work in the study of a simple model for the collective behaviour of diverse speculative agents in an idealized stockmarket, considered from the perspective of the statistical physics of many-body systems. The only…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. P. Garrahan , E. Moro , D. Sherrington

Significant research contributions and Directives approach the issue of the insertion of renewable-based energy systems on urban territory in order to face with the growing energy needs of citizens. The introduction of such systems gives…

Physics and Society · Physics 2018-08-01 Alberto Fichera , Alessandro Pluchino , Rosaria Volpe

Multi-Agent Systems (MAS) with Large Language Model (LLM)-powered agents are gaining attention, yet fewer studies explore their team dynamics. Inspired by human team science, we propose a multi-agent framework to examine core aspects of…

Computation and Language · Computer Science 2025-10-13 Rasika Muralidharan , Haewoon Kwak , Jisun An

We discuss representing and reasoning with knowledge about the time-dependent utility of an agent's actions. Time-dependent utility plays a crucial role in the interaction between computation and action under bounded resources. We present a…

Artificial Intelligence · Computer Science 2013-03-26 Eric J. Horvitz , Geoffrey Rutledge

This paper addresses the multi-agent control problem under global temporal logic tasks, considering agents with heterogeneous capabilities. These global tasks involve not only absolute and relative temporal and spatial constraints, but also…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Tiange Yang , Yuanyuan Zou , Jinfeng Liu , Shaoyuan Li , Xiaohu Zhao