Passivity for Multiadaptive Coupled Fractional- Order Reaction-Diffusion Neural Networks

Jin Liang Wang; Chen Guang Liu; Xiao Lu Liu; Lina Huang; Tingwen Huang

doi:10.1109/TETCI.2023.3341330

Passivity for Multiadaptive Coupled Fractional- Order Reaction-Diffusion Neural Networks

Jin Liang Wang^*
, Chen Guang Liu
, Xiao Lu Liu
, Lina Huang
, Tingwen Huang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The passivity and passivity-based synchronization for a type of coupled fractional-order reaction-diffusion neural networks (CFRNNs) with multiadaptive couplings are discussed in this paper. On one hand, by designing suitable integer-order and fractional-order coupling weight updating schemes, several output strict passivity criteria for CFRNNs are developed. On the other hand, the output strict passivity is exploited to tackle the synchronization of CFRNNs, and several sufficient conditions are derived based on the properties of Laplace transform and Mittag-Leffler functions. Finally, the effectiveness of the devised coupling weight updating strategies are substantiated by numerical examples.

Original language	English
Pages (from-to)	1350-1361
Number of pages	12
Journal	IEEE Transactions on Emerging Topics in Computational Intelligence
Volume	8
Issue number	2
DOIs	https://doi.org/10.1109/TETCI.2023.3341330
State	Published - 1 Apr 2024
Externally published	Yes

Keywords

Coupled fractional-order reaction-diffusion neural networks (CFRNNs)
multiadaptive couplings
output strict passivity
synchronization

Access to Document

10.1109/TETCI.2023.3341330

Cite this

@article{f8b98384becf4bab9e66c63214c1133a,

title = "Passivity for Multiadaptive Coupled Fractional- Order Reaction-Diffusion Neural Networks",

abstract = "The passivity and passivity-based synchronization for a type of coupled fractional-order reaction-diffusion neural networks (CFRNNs) with multiadaptive couplings are discussed in this paper. On one hand, by designing suitable integer-order and fractional-order coupling weight updating schemes, several output strict passivity criteria for CFRNNs are developed. On the other hand, the output strict passivity is exploited to tackle the synchronization of CFRNNs, and several sufficient conditions are derived based on the properties of Laplace transform and Mittag-Leffler functions. Finally, the effectiveness of the devised coupling weight updating strategies are substantiated by numerical examples.",

keywords = "Coupled fractional-order reaction-diffusion neural networks (CFRNNs), multiadaptive couplings, output strict passivity, synchronization",

author = "Wang, \{Jin Liang\} and Liu, \{Chen Guang\} and Liu, \{Xiao Lu\} and Lina Huang and Tingwen Huang",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2024",

month = apr,

day = "1",

doi = "10.1109/TETCI.2023.3341330",

language = "英语",

volume = "8",

pages = "1350--1361",

journal = "IEEE Transactions on Emerging Topics in Computational Intelligence",

issn = "2471-285X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

}

TY - JOUR

T1 - Passivity for Multiadaptive Coupled Fractional- Order Reaction-Diffusion Neural Networks

AU - Wang, Jin Liang

AU - Liu, Chen Guang

AU - Liu, Xiao Lu

AU - Huang, Lina

AU - Huang, Tingwen

PY - 2024/4/1

Y1 - 2024/4/1

N2 - The passivity and passivity-based synchronization for a type of coupled fractional-order reaction-diffusion neural networks (CFRNNs) with multiadaptive couplings are discussed in this paper. On one hand, by designing suitable integer-order and fractional-order coupling weight updating schemes, several output strict passivity criteria for CFRNNs are developed. On the other hand, the output strict passivity is exploited to tackle the synchronization of CFRNNs, and several sufficient conditions are derived based on the properties of Laplace transform and Mittag-Leffler functions. Finally, the effectiveness of the devised coupling weight updating strategies are substantiated by numerical examples.

AB - The passivity and passivity-based synchronization for a type of coupled fractional-order reaction-diffusion neural networks (CFRNNs) with multiadaptive couplings are discussed in this paper. On one hand, by designing suitable integer-order and fractional-order coupling weight updating schemes, several output strict passivity criteria for CFRNNs are developed. On the other hand, the output strict passivity is exploited to tackle the synchronization of CFRNNs, and several sufficient conditions are derived based on the properties of Laplace transform and Mittag-Leffler functions. Finally, the effectiveness of the devised coupling weight updating strategies are substantiated by numerical examples.

KW - Coupled fractional-order reaction-diffusion neural networks (CFRNNs)

KW - multiadaptive couplings

KW - output strict passivity

KW - synchronization

UR - https://www.scopus.com/pages/publications/85182379860

U2 - 10.1109/TETCI.2023.3341330

DO - 10.1109/TETCI.2023.3341330

M3 - 文章

AN - SCOPUS:85182379860

SN - 2471-285X

VL - 8

SP - 1350

EP - 1361

JO - IEEE Transactions on Emerging Topics in Computational Intelligence

JF - IEEE Transactions on Emerging Topics in Computational Intelligence

IS - 2

ER -

Passivity for Multiadaptive Coupled Fractional- Order Reaction-Diffusion Neural Networks

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this