An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays

被引：14

作者：

Yang, Zhanying ^{[1
]}

Zhang, Jie ^{[2
]}

Zhang, Zhihui ^{[1
]}

Mei, Jun ^{[1
]}

机构：

[1] South Cent Minzu Univ, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Hubei Univ Automot Technol, Sch Math, Shiyan 442002, Hubei, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 203卷

关键词：

Fuzzy cellular neural networks; Finite -time stability; Leakage delay; Discrete delay; Integral inequality; INTEGRAL-INEQUALITIES; SYNCHRONIZATION; BIFURCATION; EQUATIONS;

D O I：

10.1016/j.matcom.2022.07.028

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper concentrates on the finite-time stability (FTS) for fractional-order fuzzy cellular neural networks involving leakage and discrete delays. We propose a method to develop a new FTS criterion which is a supplement to the research on stability for fractional-order systems. The proof mainly depends on a new Henry-Gronwall integral inequality (HGII) with two discrete delays. This inequality generalizes some known ones which have played a significant role in the analysis on fractional-order systems. Finally, we demonstrate the correctness and advantages of the obtained criterion by supplying some examples.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：910 / 925

页数：16

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