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Motivated by demand-side management in smart grids, a decentralized controlled Markov chain formulation is proposed to model a homogeneous population of users with binary demands (i.e., off or on). The binary demands often arise in…

Optimization and Control · Mathematics 2020-12-03 Jalal Arabneydi , Amir G. Aghdam

A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Denis Efimov , Cees van Leeuwen

This paper proposes a method to design network-aware flexibility requests for local flexibility markets. These markets are becoming increasingly important for distribution system operators (DSOs) to ensure grid safety while minimizing costs…

Optimization and Control · Mathematics 2024-09-10 Eléa Prat , Irena Dukovska , Lars Herre , Rahul Nellikkath , Malte Thoma , Spyros Chatzivasileiadis

This paper focuses on relaxing the excitation conditions for the adaptive control of uncertain nonlinear systems. By adopting the spectral decomposition technique, a linear regression equation (LRE) is constructed to quantitatively collect…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Jiajun Shen , Wei Wang , Changyun Wen , Jinhu Lu

Process flexibility is widely adopted as an effective strategy for responding to uncertain demand. Many algorithms for constructing sparse flexibility designs with good theoretical guarantees have been developed for balanced and symmetrical…

Data Structures and Algorithms · Computer Science 2018-06-11 Xi Chen , Tengyu Ma , Jiawei Zhang , Yuan Zhou

Robust stabilization conditions for uncertain switched affine systems subject to a unitary input delay are presented. They are obtained through the Lyapunov framework and a min-switching state-feedback predictive control law. The result…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gerson Portilla , Carolina Albea , Alexandre Seuret

Dynamic time-of-use tariffs incentivise changes in electricity consumption. This paper presents a non-parametric method to retrospectively analyse consumption data and quantify the significance of a customer's observed response to a dynamic…

Methodology · Statistics 2016-05-27 James R. Schofield , Simon H. Tindemans , Goran Strbac

We use recent advances in the machine learning area known as 'reservoir computing' to formulate a method for model-free estimation from data of the Lyapunov exponents of a chaotic process. The technique uses a limited time series of…

Chaotic Dynamics · Physics 2018-01-17 Jaideep Pathak , Zhixin Lu , Brian R. Hunt , Michelle Girvan , Edward Ott

It has been proposed to realize secure communication using chaotic synchronization via transmission of binary message encoded by parameter modulation in the chaotic system. This paper considers the use of parameter adaptive control…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

Demand-side management presents significant benefits in reducing the energy load in smart grids by balancing consumption demands or including energy generation and/or storage devices in the user's side. These techniques coordinate the…

Optimization and Control · Mathematics 2016-05-06 Javier Zazo , Santiago Zazo , Sergio Valcarcel Macua

Demand response (DR) has been demonstrated to be an effective method for reducing peak load and mitigating uncertainties on both the supply and demand sides of the electricity market. One critical question for DR research is how to…

Machine Learning · Computer Science 2023-06-27 Jun Song , Chaoyue Zhao

We present a passivity-agnostic framework for distributed adaptive synchronization under position-only communication, bounded disturbances, and unknown leader dynamics. By passivity-agnostic we mean the design does not require the closed…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Moh Kamalul Wafi , Milad Siami

Stability under model predictive control (MPC) schemes is frequently ensured by terminal ingredients. Employing a (control) Lyapunov function as the terminal cost constitutes a common choice. Learning-based methods may be used to construct…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif

Transient stability of power systems is becoming increasingly important because of the growing integration of renewable resources. These resources lead to a reduction in mechanical inertia but also provide increased flexibility in frequency…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Wenqi Cui , Baosen Zhang

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

As variable renewable energy increases and more demand is electrified, we expect price formation in wholesale electricity markets to transition from being dominated by fossil fuel generators to being dominated by the opportunity costs of…

General Economics · Economics 2026-04-01 Julian Geis , Fabian Neumann , Michael Lindner , Philipp Härtel , Tom Brown

We study the stability of a Markovian model of electricity production and consumption that incorporates production volatility due to renewables and uncertainty about actual demand versus planned production. We assume that the energy…

Systems and Control · Computer Science 2013-04-23 Jean-Yves Le Boudec , Dan-Cristian Tomozei

Polyhedral Lyapunov functions can approximate any norm arbitrarily well. Because of this, they are used to study the stability of linear time varying and linear parameter varying systems without being conservative. However, the…

Optimization and Control · Mathematics 2021-03-08 Dimitris Kousoulidis , Fulvio Forni

Some consumers, particularly households, are unwilling to face volatile electricity prices, and they can perceive as unfair price differentiation in the same local area. For these reasons, nodal prices in distribution networks are rarely…

General Economics · Economics 2021-06-09 Iacopo Savelli , Thomas Morstyn

Studies looking at electricity market designs for very high shares of wind and solar often conclude that the energy-only market will break down. Without fuel costs, it is said that there is nothing to set prices. Symptoms of breakdown…

General Economics · Economics 2025-10-29 Tom Brown , Fabian Neumann , Iegor Riepin