The boundedness, global Mittag-Leffler sability and S-asymptotic ω-periodic of fractional-order fuzzy inertial neural networks with delays

被引:0
作者
Li, Zhiying [1 ]
Xu, Danning [1 ]
Zhang, Yuehong [1 ]
机构
[1] Shaoxing Univ, Yuanpei Coll, Shaoxing, Peoples R China
关键词
Fuzzy inertial neural networks; fractional-order; boundedness; S-asymptotic omega-periodic; global Mittag-Leffler stability; STABILITY; SYNCHRONIZATION;
D O I
10.3233/JCM-226512
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The boundedness, global Mittag-Leffler stability (GMLS), and S-asymptotic omega-periodic of fuzzy fractional-order inertial neural networks (FINN) with delays are discussed. Using the properties of Riemann-Liouville fractional-order calculus, variable substitutions and the property of fuzzy functions are adopted to get the boundedness, the GMLS, and the S-asymptotic omega-periodic of the system. Furthermore, a numerical example is given to demonstrate the theorems.
引用
收藏
页码:133 / 148
页数:16
相关论文
共 32 条
[1]   On the concept of solution for fractional differential equations with uncertainty [J].
Agarwal, Ravi P. ;
Lakshmikantham, V. ;
Nieto, Juan J. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2859-2862
[2]   Dynamic stability analysis of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms [J].
Ali, M. Syed ;
Narayanan, Govindasamy ;
Shekher, Vineet ;
Alsulami, Hamed ;
Saeed, Tareq .
APPLIED MATHEMATICS AND COMPUTATION, 2020, 369
[3]   Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects [J].
Ali, M. Syed ;
Narayanan, G. ;
Sevgen, Selcuk ;
Shekher, Vineet ;
Arik, Sabri .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
[4]  
Allahviranloo T, 2019, FUZZY METHOD SOLVING
[5]  
[Anonymous], 1999, MATH SCI ENG
[6]   STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].
BABCOCK, KL ;
WESTERVELT, RM .
PHYSICA D, 1986, 23 (1-3) :464-469
[7]  
Du F, 2021, FUZZY SET SYST, V10
[8]   Stability and synchronization for Riemann-Liouville fractional-order time-delayed inertial neural networks [J].
Gu, Yajuan ;
Wang, Hu ;
Yu, Yongguang .
NEUROCOMPUTING, 2019, 340 :270-280
[9]   Multilayer Spectral-Spatial Graphs for Label Noisy Robust Hyperspectral Image Classification [J].
Jiang, Junjun ;
Ma, Jiayi ;
Liu, Xianming .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (02) :839-852
[10]   Mittag-Leffler stability and asymptotic ω-periodicity of fractional-order inertial neural networks with time-delays [J].
Ke, Liang .
NEUROCOMPUTING, 2021, 465 :53-62