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We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

物理与社会 · 物理学 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

Using information theory we derive a thermodynamics for systems evolving under a collective motion, i.e. under a time-odd constraint. An illustration within the Lattice gas Model is given for two model cases: a collision between two complex…

核理论 · 物理学 2015-06-26 F. Gulminelli , PH. Chomaz

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

系统与控制 · 电气工程与系统科学 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

In this paper, we present a critical collection of essential mathematical tools and techniques for the analysis of Boltzmann-type kinetic equations, which in recent years have established themselves as a flexible and powerful paradigm to…

数学物理 · 物理学 2025-03-17 Nadia Loy , Andrea Tosin

We address the problem to control a population of noncooperative heterogeneous agents, each with convex cost function depending on the average population state, and all sharing a convex constraint, towards an aggregative equilibrium. We…

最优化与控制 · 数学 2017-03-14 Sergio Grammatico

In recent years, we have observed a significant trend towards filling the gap between social network analysis and control. This trend was enabled by the introduction of new mathematical models describing dynamics of social groups, the…

系统与控制 · 计算机科学 2017-10-16 Anton V. Proskurnikov , Roberto Tempo

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…

混沌动力学 · 物理学 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

State-dependent networked dynamical systems are ones where the interconnections between agents change as a function of the states of the agents. Such systems are highly nonlinear, and a cohesive strategy for their control is lacking in the…

最优化与控制 · 数学 2018-09-21 Mathias Hudoba de Badyn , Utku Eren , Behcet Acikmese , Mehran Mesbahi

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

系统与控制 · 计算机科学 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

We consider interacting multi-agent systems where the interaction is not only pairwise but involves simultaneous interactions among multiple agents (multiple-wise interaction). By passing through the mesoscopic and macroscopic limits with a…

偏微分方程分析 · 数学 2025-03-24 Thierry Paul , Stefano Rossi , Emmanuel Trélat

Social free energy has been recently introduced as a measure of social action obtainable in a given social system, without changes in its structure. The authors of this paper argue that social free energy surpasses the gap between the…

统计力学 · 物理学 2009-11-10 Josip Kasac , Hrvoje Stefancic , Josip Stepanic

This paper explores the integration of advanced Multi-Agent Systems (MAS) techniques to develop a team of agents with enhanced logical reasoning, long-term knowledge retention, and Theory of Mind (ToM) capabilities. By uniting these core…

多智能体系统 · 计算机科学 2025-07-04 Adam Kostka , Jarosław A. Chudziak

Statistical properties of coupled dynamic-stochastic systems are studied within a combination of the maximum information principle and the superstatistical approach. The conditions at which the Shannon entropy functional leads to a…

统计力学 · 物理学 2009-11-11 E. V. Vakarin , J. P. Badiali

This paper proposes a novel scalable type of multi-agent reinforcement learning-based coordination for distributed residential energy. Cooperating agents learn to control the flexibility offered by electric vehicles, space heating and…

系统与控制 · 电气工程与系统科学 2022-03-29 Flora Charbonnier , Thomas Morstyn , Malcolm D. McCulloch

This paper studies the consensus problem for multiagent systems with transmission constraints. A novel model of multiagent systems is proposed where the information transmissions between agents are disturbed by irregular distortions or…

系统与控制 · 电气工程与系统科学 2023-06-30 Xiaotian Wang , Housheng Su

The event-triggered consensus problem of first-order multi-agent systems under directed topology is investigated. The event judgements are only implemented at periodic time instants. Under the designed consensus algorithm, the sampling…

系统与控制 · 计算机科学 2018-12-27 Kaien Liu , Zhijian Ji , Xianfu Zhang

The $M$-dimensional scattering matrix $S(E)$ which connects incoming to outgoing waves in a chaotic systyem is always unitary, but shows complicated dependence on the energy. This is partly encoded in correlators constructed from traces of…

混沌动力学 · 物理学 2022-05-02 Marcel Novaes

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

最优化与控制 · 数学 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez

Many complex systems can be modeled as multiagent systems in which the constituent entities (agents) interact with each other. The global dynamics of such a system is determined by the nature of the local interactions among the agents.…

多智能体系统 · 计算机科学 2011-11-10 Reinhard Laubenbacher , Abdul S. Jarrah , Henning Mortveit , S. S. Ravi

Time series aggregation (TSA) aims to construct temporally aggregated optimization models that accurately represent the output space of their full-scale counterparts while using a significantly reduced temporal dimensionality. This paper…

最优化与控制 · 数学 2026-03-16 Thomas Klatzer , David Cardona-Vasquez , Luca Santosuosso , Sonja Wogrin