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In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

This paper addresses distributed consensus optimization problems with mixed-integer variables, with a specific focus on Boolean variables. We introduce a novel distributed algorithm that extends the Consensus Augmented Lagrangian…

Optimization and Control · Mathematics 2026-04-17 Boyu Han , Xu Du , Karl H. Johansson , Apostolos I. Rikos

This paper consists of a tutorial on the Augmented Lagrangian based Alternating Direction Inexact Newton method (ALADIN) and its application to distributed model predictive control (MPC). The focus is - for simplicity of presentation - on…

Optimization and Control · Mathematics 2022-04-05 Boris Houska , Jiahe Shi

We formulate the control of reactive power generation by photovoltaic inverters in a power distribution circuit as a constrained optimization that aims to minimize reactive power losses subject to finite inverter capacity and upper and…

Optimization and Control · Mathematics 2014-12-31 Petr Šulc , Scott Backhaus , Michael Chertkov

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks…

Optimization and Control · Mathematics 2018-08-06 Thinh T. Doan , Carolyn L. Beck

This paper provides an overview of the historical progression of distributed optimization techniques, tracing their development from early duality-based methods pioneered by Dantzig, Wolfe, and Benders in the 1960s to the emergence of the…

Optimization and Control · Mathematics 2023-08-11 Aadharsh Aadhithya A , Abinesh S , Akshaya J , Jayanth M , Vishnu Radhakrishnan , Sowmya V , Soman K. P

This paper proposes a structure exploiting algorithm for solving non-convex power system state estimation problems in distributed fashion. Because the power flow equations in large electrical grid networks are non-convex equality…

Systems and Control · Computer Science 2019-03-22 Xu Du , Alexander Engelmann , Yuning Jiang , Timm Faulwasser , Boris Houska

This paper presents a real-time computational framework for multi-node distributed optimization by extending the Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN) algorithm. Our approach integrates adjoint sequential…

Optimization and Control · Mathematics 2026-04-17 Yifei Wang , Xuhui Feng , Shimin Pan , Liangfan Zhu , Xu Du , Apostolos I. Rikos

This paper considers an optimal energy management problem for a network of interconnected microgrids. A model predictive control (MPC) approach is used to avoid capacity constraint violation and to cope with uncertainties of forecasted…

Optimization and Control · Mathematics 2024-01-08 Viet Hoang Pham , Hyo-Sung Ahn

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

In this paper, we investigate the problem of coordination between economic dispatch (ED) and demand response (DR) in multi-energy systems (MESs), aiming to improve the economic utility and reduce the waste of energy in MESs. Since multiple…

Systems and Control · Electrical Eng. & Systems 2021-04-20 Zishun Liu , Shanying Zhu , Jinming Xu , Cailian Chen

In this paper, we review the parallel and distributed optimization algorithms based on alternating direction method of multipliers (ADMM) for solving "big data" optimization problem in smart grid communication networks. We first introduce…

Systems and Control · Computer Science 2015-03-03 Lanchao Liu , Zhu Han

Due to their large power draws and increasing adoption rates, electric vehicles (EVs) will become a significant challenge for electric distribution grids. However, with proper charging control strategies, the challenge can be mitigated…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Micah Botkin-Levy , Alexander Engelmann , Tillmann Mühlpfordt , Timm Faulwasser , Mads Almassalkhi

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

This study focusses on self-balancing microgrids to smartly utilize and prevent overdrawing of available power capacity of the grid. A distributed framework for automated distribution of optimal power demand is proposed, where all building…

Systems and Control · Computer Science 2017-01-20 Meenakshi Chatterjee

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

Optimization and Control · Mathematics 2026-02-27 Zhengjie Xiong , Yangyang Xu

In this paper, we propose two novel decentralized optimization frameworks for multi-agent nonlinear optimal control problems in robotics. The aim of this work is to suggest architectures that inherit the computational efficiency and…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Augustinos D. Saravanos , Yuichiro Aoyama , Hongchang Zhu , Evangelos A. Theodorou