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Purpose: To present an algorithm for spatially sorting objects into an annular structure. Design/Methodology/Approach: A swarm-based model that requires only stochastic agent behaviour coupled with a pheromone-inspired…

Artificial Intelligence · Computer Science 2008-05-13 Martyn Amos , Oliver Don

Optimizing problems in a distributed manner is critical for systems involving multiple agents with private data. Despite substantial interest, a unified method for analyzing the convergence rates of distributed optimization algorithms is…

Optimization and Control · Mathematics 2024-10-01 Mayank Baranwal , Kushal Chakrabarti

Feedback optimisation is an emerging technique aiming at steering a system to an optimal steady state for a given objective function. We show that it is possible to employ this control strategy in a distributed manner. Moreover, we prove…

Optimization and Control · Mathematics 2022-03-01 Antonio Terpin , Sylvain Fricker , Michel Perez , Mathias Hudoba de Badyn , Florian Dörfler

Competitive non-cooperative online decision-making agents whose actions increase congestion of scarce resources constitute a model for widespread modern large-scale applications. To ensure sustainable resource behavior, we introduce a novel…

Optimization and Control · Mathematics 2020-10-22 Ezra Tampubolon , Holger Boche

Using jointly geometric and stochastic reformulations of nonconvex problems and exploiting a Monge-Kantorovich gradient system formulation with vanishing forces, we formally extend the simulated annealing method to a wide class of global…

Analysis of PDEs · Mathematics 2022-04-05 Jérôme Bolte , Laurent Miclo , Stéphane Villeneuve

Active particles are entities that sustain persistent out-of-equilibrium motion by consuming energy. Under certain conditions, they exhibit the tendency to self-organize through coordinated movements, such as swarming via aggregation. While…

Adaptation and Self-Organizing Systems · Physics 2026-04-09 Siddharth Chaturvedi , Ahmed EL-Gazzar , Marcel van Gerven

The limited energy capacity of individual robotic agents in a swarm often limits the possible cooperative tasks they can perform. In this work, we investigate the problem of covering an unknown connected grid environment (e.g. a maze or…

Multiagent Systems · Computer Science 2019-03-11 Michael Amir , Alfred M. Bruckstein

We propose a self-contained, resilient and fully distributed solution for locating the maximum of an unknown scalar field using a swarm of robots that travel at a constant speed. Unlike conventional reactive methods relying on gradient…

Inverse problems of electric conductivity are studied that arise in the design of spherical shielding or cloaking shells and other functional devices used to control DC electric fields. The shells are considered consisting of a finite…

Computational Physics · Physics 2019-01-04 Gennady Alekseev , Dmitry Tereshko , Yury Shestopalov

To cope with fast-fluctuating distributed energy resources (DERs) and uncontrolled loads, this paper formulates a time-varying optimization problem for distribution grids with DERs and develops a novel non-iterative algorithm to track the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 J. Wu , M. Liu , W. Lu , K. Xie , M. Xie

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

Dynamical Systems · Mathematics 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

In this paper we study the problem of driving an agent to an unknown source whose location is estimated in real-time by a recursive optimization algorithm. The optimization criterion is subject to a least-square cost function constructed…

Systems and Control · Computer Science 2019-01-08 Thien-Minh Nguyen , Lihua Xie

It has been well documented that the use of exponentially-averaged momentum (EM) in particle swarm optimization (PSO) is advantageous over the vanilla PSO algorithm. In the single-objective setting, it leads to faster convergence and…

Neural and Evolutionary Computing · Computer Science 2022-11-15 Anwesh Bhattacharya , Snehanshu Saha , Nithin Nagaraj

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

We propose an optimal solution to a deterministic dynamic assignment problem by leveraging connections to the theory of discrete optimal transport to convert the combinatorial assignment problem into a tractable linear program. We seek to…

Multiagent Systems · Computer Science 2019-10-25 Koray G. Kachar , Alex A. Gorodetsky

The particle swarm optimization (PSO) algorithm has been recently introduced in the non--linear programming, becoming widely studied and used in a variety of applications. Starting from its original formulation, many variants for…

Optimization and Control · Mathematics 2020-04-15 Silvano Chiaradonna , Felicita Di Giandomenico , Nadir Murru

Energy storage is expected to play an increasingly important role in mitigating variations that come along with the growing penetration of renewable energy. In this paper, we study the optimal bidding of an energy storage unit in a…

Optimization and Control · Mathematics 2021-09-29 Yue Chen , Wei Wei , Tongxin Li , Yunhe Hou , Feng Liu , João P. S. Catalão

We propose an algorithm for creating stable, ordered, swarms of active robotic agents arranged in any given pattern. The strategy involves suppressing a class of fluctuations known as "non-affine" displacements, viz. those involving…

Soft Condensed Matter · Physics 2021-09-29 Pankaj Popli , Prasad Perlekar , Surajit Sengupta

This article introduces an enhanced particle swarm optimizer (PSO), termed Orthogonal PSO with Mutation (OPSO-m). Initially, it proposes an orthogonal array-based learning approach to cultivate an improved initial swarm for PSO,…

Neural and Evolutionary Computing · Computer Science 2024-05-22 Indu Bala , Dikshit Chauhan , Lewis Mitchell

Dynamic nonzero sum games are widely used to model multi agent decision making in control, economics, and related fields. Classical methods for computing Nash equilibria, especially in linear quadratic settings, rely on strong structural…

Neural and Evolutionary Computing · Computer Science 2026-01-07 Alireza Rezaee