LMI-based stability criterion of impulsive T-S fuzzy dynamic equations via fixed point theory
type: Item
instance of: scholarly article
title: LMI-based stability criterion of impulsive T-S fuzzy dynamic equations via fixed point theory
zbMATH Open document ID: 1291.93232
DOI: 10.1155/2013/261353
author: Zhilin Pu
author: Ruofeng Rao
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: By formulating a contraction mapping and the matrix exponential function, the authors apply linear matrix inequality (LMI) technique to investigate and obtain the LMI-based stability criterion of a class of time-delay Takagi-Sugeno (T-S) fuzzy differential equations. To the best of our knowledge, it is the first time to obtain the LMI-based stability criterion derived by a fixed point theory. It is worth mentioning that LMI methods have high efficiency and other advantages in largescale engineering calculations. And the feasibility of LMI-based stability criterion can efficiently be computed and confirmed by computer Matlab LMI toolbox. At the end of this paper, a numerical example is presented to illustrate the effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6306571
Wikidata QID: Q58915710
describes a project that uses: Matlab
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/261353
OpenAlex ID: W2014927015
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description: scientific article; zbMATH DE number 6306571