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We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication network and performing computations. In this tutorial, we…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

We present a distributed conjugate gradient method for distributed optimization problems, where each agent computes an optimal solution of the problem locally without any central computation or coordination, while communicating with its…

Optimization and Control · Mathematics 2024-02-27 Ola Shorinwa , Mac Schwager

In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among…

Optimization and Control · Mathematics 2026-04-08 Ruixue Li , Wenjing Yang , Zhaorong Zhang , Xun Li , Juanjuan Xu

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

Optimization and Control · Mathematics 2021-09-06 Yipeng Pang , Guoqiang Hu

The problem of near-optimal distributed path planning to locally sensed targets is investigated in the context of large swarms. The proposed algorithm uses only information that can be locally queried, and rigorous theoretical results on…

Robotics · Computer Science 2015-03-19 Ishanu Chattopadhyay

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

In large-scale systems there are fundamental challenges when centralised techniques are used for task allocation. The number of interactions is limited by resource constraints such as on computation, storage, and network communication. We…

Artificial Intelligence · Computer Science 2022-05-12 Niall Creech , Natalia Criado Pacheco , Simon Miles

In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multi-agent systems subject to external disturbances. We aim to steer this high-order multi-agent network to a…

Optimization and Control · Mathematics 2019-02-05 Yutao Tang

In this paper, we study robust distributed sub-optimal coordination of linear agents subject to input nonlinearities. Inspired by the robust agreement literature, we formulate a bounded distributed sub-optimal coordination problem, in which…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Takumi Namba

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

This paper proposes a distributed attack detection and mitigation technique based on distributed estimation over a multi-agent network, where the agents take partial system measurements susceptible to (possible) biasing attacks. In…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Mohammadreza Doostmohammadian , Houman Zarrabi , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambous

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

In several network problems the optimum behavior of the agents (i.e., the nodes of the network) is not known before deployment. Furthermore, the agents might be required to adapt, i.e. change their behavior based on the environment…

Neural and Evolutionary Computing · Computer Science 2020-12-22 Anil Yaman , Giovanni Iacca

Multi-agent optimization problems with many objective functions have drawn much interest over the past two decades. Many works on the subject minimize the sum of objective functions, which implicitly carries a decision about the problem…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Maude J. Blondin , Matthew Hale

We present a hybrid systems framework for multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimization algorithm is a hybrid version of parallelized coordinate descent.…

Optimization and Control · Mathematics 2021-10-04 Katherine Hendrickson , Dawn Hustig-Schultz , Matthew Hale , Ricardo G. Sanfelice

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In this paper, we analyze the problem of optimally allocating resources in a distributed and privacy-preserving manner. We propose a novel distributed optimal resource allocation algorithm with privacy-preserving guarantees, which operates…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Jakob Nylöf , Apostolos I. Rikos , Sebin Gracy , Karl H. Johansson

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

Machine Learning · Computer Science 2023-01-24 Xiuxian Li , Lihua Xie , Na Li