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Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents…

Analysis of PDEs · Mathematics 2022-05-19 S. Fagioli , A. Kaufmann , E. Radici

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Christos K. Verginis , Zhe Xu , Ufuk Topcu

This paper studies a multi-agent system starting from a single agent dynamics which is a nonlinear affine control system. It analyze what happens when the number of agents goes to infinity using two different approaches, a granular…

Optimization and Control · Mathematics 2021-11-22 Marta Zoppello

In many multi-agent systems of practical interest, such as traffic networks or crowd evacuation, control actions cannot be exerted on all agents. Instead, controllable leaders must indirectly steer uncontrolled followers through local…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Davide Salzano , Gian Carlo Maffettone , Mario di Bernardo

We consider interacting agent systems with a large number of stochastic agents (or particles) influenced by a fixed number of external stochastic lead agents. Such examples arise, for example in models of opinion dynamics, where a small…

Optimization and Control · Mathematics 2025-12-23 Sebastian Zimper , Ana Djurdjevac , Carsten Hartmann , Christof Schütte , Nataša Djurdjevac Conrad

The synthesis of control laws for interacting agent-based dynamics and their mean-field limit is studied. A linearization-based approach is used for the computation of sub-optimal feedback laws obtained from the solution of differential…

Optimization and Control · Mathematics 2021-01-13 G. Albi , M. Herty , D. Kalise , C. Segala

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

Optimization and Control · Mathematics 2022-08-16 Simone Göttlich , Thomas Schillinger

The paper focuses on mean-field type multi-agent control problems with finite state and action spaces where the dynamics and cost structures are symmetric and homogeneous, and are affected by the distribution of the agents. A standard…

Optimization and Control · Mathematics 2025-07-03 Erhan Bayraktar , Ali D. Kara

We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. We derive explicit exponential estimates on the cost of approximately controlling these systems to consensus, as a function of the number of…

Optimization and Control · Mathematics 2022-03-30 Domènec Ruiz-Balet , Enrique Zuazua

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

Optimization and Control · Mathematics 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

Multi-agent coverage control is used as a mechanism to influence the behavior of a group of robots by introducing time-varying domain. The coverage optimization problem is modified to adopt time-varying domains, and the proposed control law…

Multiagent Systems · Computer Science 2019-09-13 Xiaotian Xu , Yancy Diaz-Mercado

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

This chapter provides a comprehensive overview of controlling collective behavior in complex systems comprising large ensembles of interacting dynamical agents. Building upon traditional control theory's foundation in individual systems, we…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Marco Coraggio , Davide Salzano , Mario di Bernardo

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

This paper presents a distributed adaptive control strategy for multi-agent systems with heterogeneous dynamics and collision avoidance. We propose an adaptive control strategy designed to ensure leader-following formation consensus while…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Armel Koulong , Ali Pakniyat

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

Adjustable autonomy refers to entities dynamically varying their own autonomy, transferring decision-making control to other entities (typically agents transferring control to human users) in key situations. Determining whether and when…

Artificial Intelligence · Computer Science 2011-06-24 D. V. Pynadath , P. Scerri , M. Tambe