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This paper proposes Distributed Model Predictive Covariance Steering (DiMPCS) for multi-agent control under stochastic uncertainty. The scope of our approach is to blend covariance steering theory, distributed optimization and model…

Robotics · Computer Science 2025-01-28 Augustinos D. Saravanos , Isin M. Balci , Efstathios Bakolas , Evangelos A. Theodorou

In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Many safety-critical real-world problems, such as autonomous driving and collaborative robots, are of a distributed multi-agent nature. To optimize the performance of these systems while ensuring safety, we can cast them as distributed…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

Social norms are powerful formalism in coordinating autonomous agents' behaviour to achieve certain objectives. In this paper, we propose a dynamic normative system to enable the reasoning of the changes of norms under different…

Artificial Intelligence · Computer Science 2016-04-19 Xiaowei Huang , Ji Ruan , Qingliang Chen , Kaile Su

Multi-agent systems can be successfully described by kinetic models, which allow one to explore the large scale aggregate trends resulting from elementary microscopic interactions. The latter may be formalised as collision-like rules, in…

Statistical Mechanics · Physics 2020-11-06 Nadia Loy , Andrea Tosin

Predictive statistical mechanics is a form of inference from available data, without additional assumptions, for predicting reproducible phenomena. By applying it to systems with Hamiltonian dynamics, a problem of predicting the macroscopic…

Statistical Mechanics · Physics 2015-09-22 Domagoj Kuic

Many cellular behaviors are regulated by gene regulation networks, kinetics of which is one of the main subjects in the study of systems biology. Because of the low number molecules in these reacting systems, stochastic effects are…

Quantitative Methods · Quantitative Biology 2011-04-26 Jinzhi Lei

We propose the $S$-leaping algorithm for the acceleration of Gillespie's stochastic simulation algorithm that combines the advantages of the two main accelerated methods; the $\tau$-leaping and $R$-leaping algorithms. These algorithms are…

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

We consider open multi-agent systems. Unlike the systems usually studied in the literature, here agents may join or leave while the process studied takes place. The system composition and size evolve thus with time. We focus here on systems…

Multiagent Systems · Computer Science 2017-09-18 Julien M. Hendrickx , Samuel Martin

This paper considers a problem where multiple users make repeated decisions based on their own observed events. The events and decisions at each time step determine the values of a utility function and a collection of penalty functions. The…

Optimization and Control · Mathematics 2013-05-13 Michael J. Neely

Traffic jams on roadways, echo chambers on social media, crowds of moving pedestrians, and opinion dynamics during elections are all complex social systems. These applications may seem disparate, but some of the questions that they motivate…

Physics and Society · Physics 2022-10-18 Alexandria Volkening

Stochastic dynamic models have been extensively used for the description of processes with uncertainties arising in the operations research, behavioral sciences, and many other application areas. A large class of the problems from these…

Numerical Analysis · Mathematics 2021-06-01 Thi Kim Thoa Thieu , Roderick Melnik

This paper focuses on the problem of distributed consensus control of multi-agent systems while considering two main practical concerns (i) stochastic noise in the agent dynamics and (ii) predefined performance constraints over evolutions…

Systems and Control · Electrical Eng. & Systems 2022-03-09 Pushpak Jagtap , Dimos V. Dimarogonas

Problem definition: Accurately modeling consumer behavior in energy operations is challenging due to uncertainty, behavioral heterogeneity, and limited empirical data-particularly in low-frequency, high-impact events. While generative AI…

Artificial Intelligence · Computer Science 2026-03-03 Cong Chen , Omer Karaduman , Xu Kuang

In contrast to the usual understanding of probabilistic systems as stochastic processes, recently these systems have also been regarded as transformers of probabilities. In this paper, we give a natural definition of strong bisimulation for…

Logic in Computer Science · Computer Science 2014-05-12 Holger Hermanns , Jan Krčál , Jan Křetínský

Given a connected region in two-dimensional space where events of a certain kind occur according to a certain time-varying density, we consider the problem of setting up a network of autonomous mobile agents to detect the occurrence of…

Multiagent Systems · Computer Science 2016-07-05 Rodrigo R. Esch , Fábio Protti , Valmir C. Barbosa

Unlike the classical kinetic theory of rarefied gases, where microscopic interactions among gas molecules are described as binary collisions, the modelling of socio-economic phenomena in a multi-agent system naturally requires to consider,…

Physics and Society · Physics 2020-09-15 Giuseppe Toscani , Andrea Tosin , Mattia Zanella

Representing social systems as networks, starting from the interactions between individuals, sheds light on the mechanisms governing their dynamics. However, networks encode only pairwise interactions, while most social interactions occur…

Physics and Society · Physics 2024-08-29 Iacopo Iacopini , Márton Karsai , Alain Barrat

This work introduces an online Bayesian game-theoretic method for behavior identification in multi-agent dynamical systems. By casting Hamilton-Jacobi-Bellman optimality conditions as linear-in-parameter residuals, the method enables fast…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Francesco Bianchin , Robert Lefringhausen , Sandra Hirche