Distributed optimization for control

A Nedić, J Liu - Annual Review of Control, Robotics, and …, 2018 - annualreviews.org
Advances in wired and wireless technology have necessitated the development of theory,
models, and tools to cope with the new challenges posed by large-scale control and …

A survey of distributed optimization

T Yang, X Yi, J Wu, Y Yuan, D Wu, Z Meng… - Annual Reviews in …, 2019 - Elsevier
In distributed optimization of multi-agent systems, agents cooperate to minimize a global
function which is a sum of local objective functions. Motivated by applications including …

A linear algorithm for optimization over directed graphs with geometric convergence

R Xin, UA Khan - IEEE Control Systems Letters, 2018 - ieeexplore.ieee.org
In this letter, we study distributed optimization, where a network of agents, abstracted as a
directed graph, collaborates to minimize the average of locally known convex functions …

Push–pull gradient methods for distributed optimization in networks

S Pu, W Shi, J Xu, A Nedić - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
In this article, we focus on solving a distributed convex optimization problem in a network,
where each agent has its own convex cost function and the goal is to minimize the sum of …

Dual averaging for distributed optimization: Convergence analysis and network scaling

JC Duchi, A Agarwal… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
The goal of decentralized optimization over a network is to optimize a global objective
formed by a sum of local (possibly nonsmooth) convex functions using only local …

On distributed optimization in networked systems

B Johansson - 2008 - diva-portal.org
Numerous control and decision problems in networked systems can be posed as
optimization problems. Examples include the framework of network utility maximization for …

A general framework for decentralized optimization with first-order methods

R Xin, S Pu, A Nedić, UA Khan - Proceedings of the IEEE, 2020 - ieeexplore.ieee.org
Decentralized optimization to minimize a finite sum of functions, distributed over a network of
nodes, has been a significant area within control and signal-processing research due to its …

Convergence analysis of a distributed optimization algorithm with a general unbalanced directed communication network

H Li, Q Lü, T Huang - IEEE Transactions on Network Science …, 2018 - ieeexplore.ieee.org
In this paper, we discuss a class of distributed constrained optimization problems in power
systems where the target is to optimize the sum of all agents' local convex objective …

Constraint-coupled distributed optimization: A relaxation and duality approach

I Notarnicola, G Notarstefano - IEEE Transactions on Control of …, 2019 - ieeexplore.ieee.org
In this paper, we consider a general challenging distributed optimization setup arising in
several important network control applications. Agents of a network want to minimize the …

Convergence rate of distributed averaging dynamics and optimization in networks

A Nedich - Foundations and Trends® in Systems and …, 2015 - nowpublishers.com
Recent advances in wired and wireless technology lead to the emergence of large-scale
networks such as Internet, wireless mobile ad-hoc networks, swarm robotics, smart-grid, and …