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We consider a stylized model for a power network with distributed local power generation and storage. This system is modeled as network connection a large number of nodes, where each node is characterized by a local electricity consumption,…

Probability · Mathematics 2019-06-21 Clemence Alasseur , Imen Ben Tahar , Anis Matoussi

We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems…

Theoretical Economics · Economics 2025-01-06 Raouf Boucekkine , Giorgio Fabbri , Salvatore Federico , Fausto Gozzi , Ted Loch-Temzelides , Cristiano Ricci

In this paper, we consider the problem of optimal demand response and energy storage management for a power consuming entity. The entity's objective is to find an optimal control policy for deciding how much load to consume, how much power…

Optimization and Control · Mathematics 2012-05-22 Longbo Huang , Jean Walrand , Kannan Ramchandran

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

In this letter, we study dynamic game optimal control with imperfect state observations and introduce an iterative method to find a local Nash equilibrium. The algorithm consists of an iterative procedure combining a backward recursion…

Optimization and Control · Mathematics 2022-06-24 Armand Jordana , Bilal Hammoud , Justin Carpentier , Ludovic Righetti

In this paper we propose the notion of dynamic deviation measure, as a dynamic time-consistent extension of the (static) notion of deviation measure. To achieve time-consistency we require that a dynamic deviation measures satisfies a…

Probability · Mathematics 2016-04-28 Martijn Pistorius , Mitja Stadje

This paper investigates the problem of database-assisted spectrum access in dynamic TV white spectrum networks, in which the active user set is varying. Since there is no central controller and information exchange, it encounters dynamic…

Information Theory · Computer Science 2016-11-17 Yuhua Xu , Yitao Xu , Alagan Anpalagan

Mobile cloud computing is envisioned as a promising approach to augment computation capabilities of mobile devices for emerging resource-hungry mobile applications. In this paper, we propose a game theoretic approach for achieving efficient…

Networking and Internet Architecture · Computer Science 2016-11-18 Xu Chen

A game-theoretic model for studying power control in multi-carrier CDMA systems is proposed. Power control is modeled as a non-cooperative game in which each user decides how much power to transmit over each carrier to maximize its own…

Information Theory · Computer Science 2007-07-13 Farhad Meshkati , Mung Chiang , H. Vincent Poor , Stuart C. Schwartz

Dynamic games arise when multiple agents with differing objectives choose control inputs to a dynamic system. Dynamic games model a wide variety of applications in economics, defense, and energy systems. However, compared to single-agent…

Optimization and Control · Mathematics 2018-09-25 Bolei Di , Andrew Lamperski

Dynamic games are powerful tools to model multi-agent decision-making, yet computing Nash (generalized Nash) equilibria remains a central challenge in such settings. Complexity arises from tightly coupled optimality conditions, nested…

Computer Science and Game Theory · Computer Science 2026-02-06 Mahdis Rabbani , Navid Mojahed , Shima Nazari

Systematic scenario generation (SG) methods have emerged as an invaluable tool to handle uncertainty towards the efficient solution of stochastic programming (SP) problems. The quality of SG methods depends on their consistency to generate…

Optimization and Control · Mathematics 2025-04-07 Georgios L. Bounitsis , Lazaros G. Papageorgiou , Vassilis M. Charitopoulos

Flexibility is a key enabler for the smart grid, required to facilitate Demand Side Management (DSM) programs, managing electrical consumption to reduce peaks, balance renewable generation and provide ancillary services to the grid.…

Systems and Control · Computer Science 2017-04-06 Sarah O'Connell , Stefano Riverso

This paper presents a coordinative demand charge mitigation (DCM) strategy for reducing electricity consumption during system peak periods. Available DCM resources include batteries, diesel generators, controllable loads, and conservation…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Rongxing Hu , Kai Ye , Hyeonjin Kim , Hanpyo Lee , Ning Lu , Di Wu , PJ Rehm

We consider the problem of energy management in microgrid networks. A microgrid is capable of generating a limited amount of energy from a renewable resource and is responsible for handling the demands of its dedicated customers. Owing to…

Demand-side response from space heating in residential buildings can potentially provide a huge amount of flexibility for the power system, particularly with deep electrification of the heat sector. In this context, this paper presents a…

Systems and Control · Electrical Eng. & Systems 2023-02-22 Zihang Dong , Xi Zhang , Goran Strbac

The increasing integration of renewable energy introduces a great challenge to the supply and demand balance of the power grid. To address this challenge, this paper formulates a Stackelberg Markov game (SMG) between an aggregator and…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Siying Huang , Yifen Mu , Ge Chen

Traditionally, most consumers of electricity pay for their consumptions according to a fixed rate. With the advancement of Smart Grid technologies, large-scale implementation of variable-rate metering becomes more practical. As a result,…

Computer Science and Game Theory · Computer Science 2011-06-14 Tarun Agarwal , Shuguang Cui

Load management is being recognized as an important option for active user participation in the energy market. Traditional load management methods usually require a centralized powerful control center and a two-way communication network…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Wei Zhang , Yinliang Xu , Sisi Li , MengChu Zhou , Wenxin Liu , Ying Xu

This paper is concerned with a non-zero sum differential game problem of an anticipated forward-backward stochastic differential delayed equation under partial information. We establish a necessary maximum principle and sufficient…

Optimization and Control · Mathematics 2017-02-17 Yi Zhuang