Title
On delay-dependent stability conditions for Takagi-Sugeno fuzzy systems.
Abstract
This paper presents new less conservative stability analysis conditions for Takagi–Sugeno fuzzy systems subject to interval time-varying delay. The methodology is based on the direct Lyapunov method allied with an appropriate Lyapunov–Krasovskii functional choice and the use of the integral inequalities, Finsler lemma, Newton–Leibniz formula manipulations and convex combination properties. Particularly, the main result differs from previous ones since the positiveness of the Lyapunov–Krasovskii functional is guaranteed by new relaxed conditions. Two examples illustrate the effectiveness of the proposed methodology.
Year
DOI
Venue
2014
10.1016/j.jfranklin.2013.03.017
Journal of the Franklin Institute
Field
DocType
Volume
Lyapunov function,Mathematical optimization,Control theory,Convex combination,Stability conditions,Fuzzy control system,Lemma (mathematics),Mathematics
Journal
351
Issue
ISSN
Citations 
7
0016-0032
13
PageRank 
References 
Authors
0.57
15
3
Name
Order
Citations
PageRank
Fernando O. Souza1181.38
Victor C. S. Campos2524.42
Reinaldo M. Palhares346741.12