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

被引：13

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

共 50 条

[1] Finite-time stability of fractional-order fuzzy cellular neural networks with time delays
Du, Feifei
Lu, Jun-Guo
FUZZY SETS AND SYSTEMS, 2022, 438 : 107 - 120
[2] On Finite-Time Stability for Fractional-Order Neural Networks with Proportional Delays
Xu, Changjin
Li, Peiluan
NEURAL PROCESSING LETTERS, 2019, 50 (02) : 1241 - 1256
[3] On Finite-Time Stability for Fractional-Order Neural Networks with Proportional Delays
Changjin Xu
Peiluan Li
Neural Processing Letters, 2019, 50 : 1241 - 1256
[4] New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays
Li, Bingjun
Tang, Bingnan
JOURNAL OF MATHEMATICS, 2021, 2021
[5] Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term
Ali, M. Syed
Narayanan, G.
Saroha, Sumit
Priya, Bandana
Thakur, Ganesh Kumar
MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 185 : 468 - 485
[6] New approach to finite-time stability for fractional-order BAM neural networks with discrete and distributed delays
Du, Feifei
Lu, Jun-Guo
CHAOS SOLITONS & FRACTALS, 2021, 151 (151)
[7] Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays
You, Xingxing
Song, Qiankun
Zhao, Zhenjiang
NEURAL NETWORKS, 2020, 123 : 248 - 260
[8] Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks
Zheng, Mingwen
Li, Lixiang
Peng, Haipeng
Xiao, Jinghua
Yang, Yixian
Zhang, Yanping
Zhao, Hui
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 272 - 291
[9] New Criteria on Finite-Time Stability of Fractional-Order Hopfield Neural Networks With Time Delays
Du, Feifei
Lu, Jun-Guo
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (09) : 3858 - 3866
[10] Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays
Xu, Chang-Jin
Li, Pei-Luan
Pang, Yi-Cheng
COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (02) : 137 - 142

← 1 2 3 4 5 →