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Mean Field Games (MFG) have been introduced to tackle games with a large number of competing players. Considering the limit when the number of players is infinite, Nash equilibria are studied by considering the interaction of a typical…

Optimization and Control · Mathematics 2021-06-14 Mathieu Lauriere

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

The mean-field framework has been used to find approximate solutions to problems involving very large populations of symmetric, anonymous agents, which may be intractable by other methods. The cooperative mean-field control (MFC) problem…

Multiagent Systems · Computer Science 2025-12-23 Patrick Benjamin , Alessandro Abate

The rapid growth of distributed energy resources (DERs), including rooftop solar and energy storage, is transforming the grid edge, where distributed technologies and customer-side systems increasingly interact with the broader power grid.…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Jun He , Andrew L. Liu

Recently there have been several historical changes in electricity networks that necessitate the development of Demand Side Management (DSM). The main objective of DSM is to achieve an aggregated consumption pattern that is efficient in…

Computer Science and Game Theory · Computer Science 2019-02-26 Georgios Tsaousoglou , Konstantinos Steriotis , Nikolaos Efthymiopoulos , Konstantinos Smpoukis , Emmanouel Varvarigos

We pose an engineering challenge of controlling an Ensemble of Energy Devices via coordinated, implementation-light and randomized on/off switching as a problem in Non-Equilibrium Statistical Mechanics. We show that Mean Field Control} with…

Systems and Control · Computer Science 2020-02-19 David Métivier , Michael Chertkov

Integration of renewable energy sources and emerging loads like electric vehicles to smart grids brings more uncertainty to the distribution system management. Demand Side Management (DSM) is one of the approaches to reduce the uncertainty.…

Machine Learning · Computer Science 2021-09-28 Elahe Khoshbakhti Vaygan , Roozbeh Rajabi , Abouzar Estebsari

Mean field games (MFG) and mean field control (MFC) are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents. Their areas of application span topics in economics, finance, game theory,…

Machine Learning · Computer Science 2022-06-08 Lars Ruthotto , Stanley Osher , Wuchen Li , Levon Nurbekyan , Samy Wu Fung

Increasing participation of prosumers in the electricity grid calls for efficient operational strategies for utilizing the flexibility offered by Distributed Energy Resources (DER) to match supply and demand. This paper investigates the…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Subhitcha Ramkumar , Hazem A. Abdelghany , Simon H. Tindemans

We study infinite horizon discounted Mean Field Control (MFC) problems with common noise through the lens of Mean Field Markov Decision Processes (MFMDP). We allow the agents to use actions that are randomized not only at the individual…

Optimization and Control · Mathematics 2021-10-14 René Carmona , Mathieu Laurière , Zongjun Tan

Decentralized stochastic control (DSC) considers the optimal control problem of a multi-agent system. However, DSC cannot be solved except in the special cases because the estimation among the agents is generally intractable. In this work,…

Optimization and Control · Mathematics 2023-05-16 Takehiro Tottori , Tetsuya J. Kobayashi

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability via dense, all-to-all interactions. In this work, we bridge…

Multiagent Systems · Computer Science 2026-01-30 Tobias Schmidt , Kai Cui

With the increasing popularity of electric vehicles, distributed energy generation and storage facilities in smart grid systems, an efficient Demand-Side Management (DSM) is urgent for energy savings and peak loads reduction. Traditional…

Systems and Control · Electrical Eng. & Systems 2020-05-21 Jianwen Sun , Yan Zheng , Jianye Hao , Zhaopeng Meng , Yang Liu

Grid edge resources refer to distributed energy resources (DERs) located on the consumer side of the electrical grid, controlled by consumers rather than utility companies. Integrating DERs with real-time electricity pricing can better…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Chen Feng , Andrew L. Liu

This paper proposes a novel load frequency control (LFC) approach formulated on an optimal structure of the coefficient diagram method (CDM) in a two-area thermal power system. As part of a realistic analysis, nonlinearities related to…

Systems and Control · Electrical Eng. & Systems 2022-08-16 Jalal Heidary , Hassan Rastegar

We consider the control of McKean-Vlasov dynamics (or mean-field control) with probabilistic state constraints. We rely on a level-set approach which provides a representation of the constrained problem in terms of an unconstrained one with…

Optimization and Control · Mathematics 2022-11-03 Maximilien Germain , Huyên Pham , Xavier Warin

Model predictive control (MPC) is a powerful technique for solving dynamic control tasks. In this paper, we show that there exists a close connection between MPC and online learning, an abstract theoretical framework for analyzing online…

Robotics · Computer Science 2019-10-10 Nolan Wagener , Ching-An Cheng , Jacob Sacks , Byron Boots

Demand-Side Management (DSM) is a vital tool that can be used to ensure power system reliability and stability. In future smart grids, certain portions of a customers load usage could be under automatic control with a cyber-enabled DSM…

Signal Processing · Electrical Eng. & Systems 2019-10-01 Kostas Hatalis , Parv Venkitasubramaniam , Shalinee Kishore

Multi-access edge computing (MEC) and network virtualization technologies are important enablers for fifth-generation (5G) networks to deliver diverse applications and services. Services are often provided as fully connected virtual network…

Networking and Internet Architecture · Computer Science 2022-12-21 Amine Abouaomar , Soumaya Cherkaoui , Zoubeir Mlika , Abdellatif Kobbane

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Zizhen Guo , Wenchuan Wu