A Comprehensive Review of Continuous-/Discontinuous-Time Fractional-Order Multidimensional Neural Networks

被引：17

作者：

Cao, Jinde ^{[1
,2
,3
]}

Udhayakumar, K. ^{[4
,5
]}

Rakkiyappan, R. ^{[6
]}

Li, Xiaodi ^{[7
]}

Lu, Jianquan ^{[8
]}

机构：

[1] Southeast Univ, Sch Math, Frontiers Sci Ctr Mobile Informat Commun & Secur, Nanjing 210096, Peoples R China

[2] Purple Mt Labs, Nanjing 211111, Peoples R China

[3] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

[4] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[5] United Arab Emirates Univ, Dept Math Sci, Coll Sci, Al Ain, U Arab Emirates

[6] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[7] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[8] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2023年 / 34卷 / 09期

关键词：

Artificial neural networks; Synchronization; Mathematics; Delays; Stability criteria; Quaternions; Fractional calculus; Complex field; dynamical networks; fractional-order neural networks (FONNs); octonion field; quaternion field; stability; synchronization; MITTAG-LEFFLER STABILITY; GLOBAL EXPONENTIAL STABILITY; FINITE-TIME; SYNCHRONIZATION ANALYSIS; QUASI-SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; UNCERTAIN PARAMETERS; NONLINEAR DYNAMICS; ROBUST STABILITY;

D O I：

10.1109/TNNLS.2021.3129829

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The dynamical study of continuous-/discontinuous-time fractional-order neural networks (FONNs) has been thoroughly explored, and several publications have been made available. This study is designed to give an exhaustive review of the dynamical studies of multidimensional FONNs in continuous/discontinuous time, including Hopfield NNs (HNNs), Cohen-Grossberg NNs, and bidirectional associative memory NNs, and similar models are considered in real (R), complex (C), quaternion (Q), and octonion (O) fields. Since, in practice, delays are unavoidable, theoretical findings from multidimensional FONNs with various types of delays are thoroughly evaluated. Some required and adequate stability and synchronization requirements are also mentioned for fractional-order NNs without delays.

引用

页码：5476 / 5496

页数：21

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