@article{Datta2022, 
author = {Rupak Datta and Ramasamy Saravanakumar and Rajeeb Dey and Baby Bhattacharya},
title = {Further results on stability analysis of Takagi–Sugeno fuzzy time-delay systems via improved Lyapunov–Krasovskii functional},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16464-16481},
keywords = {T–S fuzzy system, LKF, DRD stability, LMI, TDS},
url = {https://www.sciopen.com/article/10.3934/math.2022901},
doi = {10.3934/math.2022901},
abstract = {The problem of delay-range-dependent (DRD) stability analysis for continuous time Takagi–Sugeno (T–S) fuzzy time-delay systems (TDSs) is addressed in this paper. An improved DRD stability criterion is proposed in an linear matrix inequality (LMI) framework by constructing an appropriate delay-product-type (DPT) Lyapunov–Krasovskii functional (LKF) to make use of Bessel-Legendre polynomial based relaxed integral inequality. The modification in the proposed LKF along with the judicious choice of integral inequalities helps to obtain a less conservative delay upper bound for a given lower bound. The efficacy of the obtained stability conditions is validated through the solution of three numerical examples.}
}