A SURVEY OF FRACTIONAL-ORDER NEURAL NETWORKS

被引：0

作者：

Zhang, Shuo ^{[1
]}

Chen, YangQuan ^{[2
]}

Yu, Yongguang ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Sch Sci, Beijing 100044, Peoples R China

[2] Univ Calif Merced, Sch Engn, MESA Lab, 5200 North Lake Rd, Merced, CA 95343 USA

来源：

PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 9 | 2017年

基金：

中国国家自然科学基金;

关键词：

STABILITY ANALYSIS; NONLINEAR DYNAMICS; SYNCHRONIZATION; CHAOS; BIFURCATION; SIMULATION; SYSTEMS;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper; the literature of fractional-order neural networks is categorized and discussed, which includes a general introduction and overview of fractional-order neural networks. Various application areas of fractional-order neural networks have been found or used, and will be surveyed and summarized such as neuroscience, computational science, control and optimization. Recent trends in dynamics of fractional-order neural networks are presented and discussed. The results, especially the stability analysis of fractional-order neural networks, are reviewed and different analysis methods are compared. Furthermore, the challenges and conclusions of fractional-order neural networks are given.

引用

页数：10

共 50 条

[1] Fractional-Order Hopfield Neural Networks
Boroomand, Arefeh
Menhaj, Mohammad B.
[J]. ADVANCES IN NEURO-INFORMATION PROCESSING, PT I, 2009, 5506 : 883 - 890
[2] Dynamics of fractional-order neural networks
Kaslik, Eva
Sivasundaram, Seenith
[J]. 2011 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2011, : 611 - 618
[3] Dynamics in fractional-order neural networks
Song, Chao
Cao, Jinde
[J]. NEUROCOMPUTING, 2014, 142 : 494 - 498
[4] A note on the fractional-order cellular neural networks
Petras, Ivo
[J]. 2006 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORK PROCEEDINGS, VOLS 1-10, 2006, : 1021 - 1024
[5] State estimation for fractional-order neural networks
Wang, Fei
Yang, Yongqing
Hu, Manfeng
Xu, Xianyun
[J]. OPTIK, 2015, 126 (23): : 4083 - 4086
[6] α-stability and α-synchronization for fractional-order neural networks
Yu, Juan
Hu, Cheng
Jiang, Haijun
[J]. NEURAL NETWORKS, 2012, 35 : 82 - 87
[7] A system of fractional-order interval projection neural networks
Wu, Zeng-bao
Zou, Yun-zhi
Huang, Nan-jing
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 294 : 389 - 402
[8] Nonlinear dynamics and chaos in fractional-order neural networks
Kaslik, Eva
Sivasundaram, Seenith
[J]. NEURAL NETWORKS, 2012, 32 : 245 - 256
[9] Dynamics analysis of fractional-order Hopfield neural networks
Batiha, Iqbal M.
Albadarneh, Ramzi B.
Momani, Shaher
Jebril, Iqbal H.
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (08)
[10] Stability analysis of fractional-order delayed neural networks
Li, Ruoxia
Cao, Jinde
Alsaedi, Ahmad
Alsaadi, Fuad
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (04): : 505 - 520

← 1 2 3 4 5 →