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In this work we consider the multi-agent motion planning (MAMP) problem with the constraint that agents arrive at their respective goals at the same time. For the special case where all agents are initially at rest we propose a two-step…

Optimization and Control · Mathematics 2026-05-05 Anja Hellander , Daniel Axehill

This paper proposes a distributed controller synthesis framework for safe navigation of multi-agent systems. We leverage control barrier functions to formulate collision avoidance with obstacles and teammates as constraints on the control…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Pol Mestres , Carlos Nieto-Granda , Jorge Cortés

This paper considers the problem of planning trajectories for a team of sensor-equipped robots to reduce uncertainty about a dynamical process. Optimizing the trade-off between information gain and energy cost (e.g., control effort,…

We study the problem of generating paths on a graph that satisfy a collection of {\omega}-regular objectives. We propose a decoupled framework in which each objective is assigned to an independent agent that selects a local policy, while a…

Formal Languages and Automata Theory · Computer Science 2026-05-14 Guy Avni , Thomas A. Henzinger , Kaushik Mallik , Suman Sadhukhan , K. S. Thejaswini

This paper introduces a systematic methodological framework to design and analyze distributed algorithms for optimization and games over networks. Starting from a centralized method, we identify an aggregation function involving all the…

Optimization and Control · Mathematics 2025-05-26 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

The Travelling Salesman and its variations are some of the most well known NP hard optimisation problems. This paper looks to use both centralised and decentralised implementations of Evolutionary Algorithms (EA) to solve a dynamic variant…

Neural and Evolutionary Computing · Computer Science 2019-06-14 Thomas E. Kent , Arthur G. Richards

The environment plays a critical role in multi-agent navigation by imposing spatial constraints, rules, and limitations that agents must navigate around. Traditional approaches treat the environment as fixed, without exploring its impact on…

Robotics · Computer Science 2026-04-09 Zhan Gao , Gabriele Fadini , Stelian Coros , Amanda Prorok

Multi-Agent Reinforcement Learning (MARL) is a widely used technique for optimization in decentralised control problems. However, most applications of MARL are in static environments, and are not suitable when agent behaviour and…

Multiagent Systems · Computer Science 2014-09-17 Andrei Marinescu , Ivana Dusparic , Adam Taylor , Vinny Cahill , Siobhán Clarke

Decentralized optimization is widely used in large scale and privacy preserving machine learning and various distributed control and sensing systems. It is assumed that every agent in the network possesses a local objective function, and…

Optimization and Control · Mathematics 2023-01-31 Savelii Chezhegov , Anton Novitskii , Alexander Rogozin , Sergei Parsegov , Pavel Dvurechensky , Alexander Gasnikov

We introduce a decentralized and online path planning technique for a network of unmanned aerial vehicles (UAVs) in the presence of weather disturbances. In our problem setting, the group of UAVs are required to collaboratively visit a set…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-16 Wei Zhao , Borzoo Bonakdarpour

This paper studies the decentralized online convex optimization problem for heterogeneous linear multi-agent systems. Agents have access to their time-varying local cost functions related to their own outputs, and there are also…

Optimization and Control · Mathematics 2022-07-05 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

Artificial Intelligence · Computer Science 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

We introduce a method called MASCOT (Multi-Agent Shape Control with Optimal Transport) to compute optimal control solutions of agents with shape/formation/density constraints. For example, we might want to apply shape constraints on the…

Multiagent Systems · Computer Science 2023-02-07 Alex Tong Lin , Stanley J. Osher

Spatial multi-agency has been receiving growing attention from researchers exploring many of the aspects and modalities of this phenomenon. The aim is to develop the theoretical background needed for a multitude of applications involving…

Robotics · Computer Science 2016-07-12 Ahmad A. Masoud

We consider the problem of designing agents able to compute optimal decisions by composing data from multiple sources to tackle tasks involving: (i) tracking a desired behavior while minimizing an agent-specific cost; (ii) satisfying safety…

Optimization and Control · Mathematics 2023-05-23 Emiland Garrabe , Martina Lamberti , Giovanni Russo

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

This paper presents a novel framework for goal-oriented optimal static sensor placement and dynamic sensor steering in PDE-constrained inverse problems, utilizing a Bayesian approach accelerated by low-rank approximations. The framework is…

Numerical Analysis · Mathematics 2025-07-09 Marco Mattuschka , Noah An der Lan , Max von Danwitz , Daniel Wolff , Alexander Popp

In multi-agent applications such as surveillance and logistics, fleets of mobile agents are often expected to coordinate and safely visit a large number of goal locations as efficiently as possible. The multi-agent planning problem in these…

Robotics · Computer Science 2021-11-09 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

In this paper, we consider a network of agents that has to self-assign a set of tasks while respecting resource constraints. One possible formulation is the Generalized Assignment Problem, where the goal is to find a maximum payoff while…

Optimization and Control · Mathematics 2021-10-12 Andrea Testa , Giuseppe Notarstefano

In recent times, various distributed optimization algorithms have been proposed for whose specific agent dynamics global optimality and convergence is proven. However, there exist no general conditions for the design of such algorithms. In…

Optimization and Control · Mathematics 2025-03-14 Pol Jane-Soneira , Charles Muller , Felix Strehle , Sören Hohmann