The interval stability of an electricity market model
type: Item
instance of: scholarly article
title: The interval stability of an electricity market model
zbMATH Open document ID: 1407.91156
DOI: 10.1155/2014/547485
author: Weijuan Wang
author: Zhanhui Lu
author: Quanxin Zhu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Combined with the electric power market dynamic model put forward by Alvarado, an interval model of electricity markets is established and investigated in this paper pertaining to the range of demand elasticity with suppliers and consumers. The stability of an electricity market framework with demand elasticity interval is analyzed. The conclusions characterizing the interval model provided are derived by constructing a suitable Lyapunov function and using the theory of interval dynamical system in differential equations and matrix inequality theory and so forth. Applying the corollary obtained can judge the system stability by available data about demand elasticity. The obtained results are validated and illustrated by a case example.
Mathematics Subject Classification ID: 91B42
Mathematics Subject Classification ID: 91B24
zbMATH DE Number: 7016720
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/547485
OpenAlex ID: W2064531225
Wikidata QID: Q59065930
cites work: Q3999350
cites work: Exponential stability of stochastic delay interval systems
cites work: Robust stabilization of a class of nonlinear time-delay systems
cites work: Q3014076
description: scientific article; zbMATH DE number 7016720