Delay-dependent stability analysis of TS fuzzy switched time-delay systems
type: Item
instance of: scholarly article
title: Delay-dependent stability analysis of TS fuzzy switched time-delay systems
zbMATH Open document ID: 1426.34093
DOI: 10.1155/2017/8123830
author: Nawel Aoun
author: Marwen Kermani
author: Anis Sakly
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper proposes a new approach to deal with the problem of stability under arbitrary switching of continuous-time switched time-delay systems represented by TS fuzzy models. The considered class of systems, initially described by delayed differential equations, is first put under a specific state space representation, called arrow form matrix. Then, by constructing a pseudo-overvaluing system, common to all fuzzy submodels and relative to a regular vector norm, we can obtain sufficient asymptotic stability conditions through the application of Borne and Gentina practical stability criterion. The stability criterion, hence obtained, is algebraic, is easy to use, and permits avoiding the problem of existence of a common Lyapunov-Krasovskii functional, considered as a difficult task even for some low-order linear switched systems. Finally, three numerical examples are given to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K34
Mathematics Subject Classification ID: 34K36
zbMATH DE Number: 6972538
Wikidata QID: Q59147811
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8123830
OpenAlex ID: W2621663031
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description: scientific article; zbMATH DE number 6972538