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Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems
Joint Authors
Sakly, Anis
Aoun, Nawel
Kermani, Marwen
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Aoun, Nawel& Kermani, Marwen& Sakly, Anis. 2017. Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1192188
Modern Language Association (MLA)
Aoun, Nawel…[et al.]. Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1192188
American Medical Association (AMA)
Aoun, Nawel& Kermani, Marwen& Sakly, Anis. Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1192188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192188