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This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

This paper presents a general description of a parameter estimation inverse problem for systems governed by nonlinear differential equations. The inverse problem is presented using optimal control tools with state constraints, where the…

Numerical Analysis · Mathematics 2018-06-28 Mohamed Kamel Riahi , Issam Al Qattan

We develop the theory of Energy Conserving Descent (ECD) and introduce ECDSep, a gradient-based optimization algorithm able to tackle convex and non-convex optimization problems. The method is based on the novel ECD framework of…

Machine Learning · Computer Science 2023-06-02 G. Bruno De Luca , Alice Gatti , Eva Silverstein

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

The increasing penetration of distributed energy resources (DERs) brings opportunities and challenges to the operation of distribution systems. To ensure network integrity, dynamic operating envelopes (DOEs) are issued by utilities to DERs…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Hongyi Li , Liming Liu , Yunyi Li , Zhaoyu Wang

A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

We propose stochastic control policies to cope with uncertain and variable gas extractions in natural gas networks. Given historical gas extraction data, these policies are optimized to produce the real-time control inputs for nodal gas…

Optimization and Control · Mathematics 2021-08-24 Vladimir Dvorkin , Anubhav Ratha , Pierre Pinson , Jalal Kazempour

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

This paper details an investigation into the computational performance of algorithms used for solving a convex formulation of the optimization problem associated with model predictive control for energy management in hybrid electric…

Optimization and Control · Mathematics 2019-09-04 Sebastian East , Mark Cannon

This work addresses the challenge of minimizing the energy consumption of a wireless communication network by joint optimization of the base station transmit power and the cell activity. A mixed-integer nonlinear optimization problem is…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Florian Bahlke , Marius Pesavento

The decarbonisation of heavy-duty railway networks requires maximising the capacity of existing electrical infrastructure. Integrating heavy freight alongside fast passenger services exposes the hard physical limits of conventional…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Marton Laszlo Ambrus , Stuart Hillmansen , Zhongbei Tian

Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

Optimization and Control · Mathematics 2020-11-03 Kyri Baker

Physics-Informed Machine Learning (PIML) offers a powerful paradigm of integrating data with physical laws to address important scientific problems, such as parameter estimation, inferring hidden physics, equation discovery, and state…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Letian Yi , Siyuan Yang , Ying Cui , Zhilu Lai

This paper presents an algorithm to optimize the parameters of power systems equivalents to enhance the accuracy of the DC power flow approximation in reduced networks. Based on a zonal division of the network, the algorithm produces a…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Babak Taheri , Daniel K. Molzahn

Accurately identifying gas mixtures and estimating their concentrations are crucial across various industrial applications using gas sensor arrays. However, existing models face challenges in generalizing across heterogeneous datasets,…

Machine Learning · Computer Science 2024-12-19 Ding Wang , Lei Wang , Huilin Yin , Guoqing Gu , Zhiping Lin , Wenwen Zhang

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

The study aims to decrease gas loss and enhance system reliability during gas pipeline accidents. A computational scheme has been developed that can enable the elimination of gas leakage through the modeling and management of parallel gas…

Optimization and Control · Mathematics 2025-04-15 Ilgar Aliyev

The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to…

Optimization and Control · Mathematics 2017-12-08 Volker Mehrmann , Martin Schmidt , Jeroen J. Stolwijk

This paper proposes an optimization-based framework for the analysis of multiperiod directed multihypergraphs aimed at identifying self-amplifying structures that sustain endogenous growth in complex systems. The approach captures the…

Optimization and Control · Mathematics 2026-04-15 Víctor Blanco , Ricardo Gázquez , Juan Francisco Ocaña-Rivas