Synchronization and adaptive control for coupled fractional-order reaction–diffusion neural networks with multiple couplings

Jin Liang Wang; Xin Yu Du; Chen Guang Liu

doi:10.1016/j.isatra.2022.11.009

Synchronization and adaptive control for coupled fractional-order reaction–diffusion neural networks with multiple couplings

Jin Liang Wang
, Xin Yu Du
, Chen Guang Liu^*

^*Corresponding author for this work

Tiangong University
Beihang University

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

22 Scopus citations

Abstract

In this paper, two kinds of coupled fractional-order reaction–diffusion neural networks (CFORDNNs) with multiple state couplings or spatial diffusion couplings are proposed. By resorting to the Laplace transform and the properties of Mittag-Leffler functions, sufficient synchronization conditions are derived for the concerned network models. In addition, to guarantee the synchronization of these two networks, several appropriate adaptive control schemes are also developed. Ultimately, the validity of the devised adaptive strategies are verified by adopting some numerical examples with simulation results.

Original language	English
Pages (from-to)	93-103
Number of pages	11
Journal	ISA Transactions
Volume	136
DOIs	https://doi.org/10.1016/j.isatra.2022.11.009
State	Published - May 2023
Externally published	Yes

Keywords

Adaptive control
Coupled reaction–diffusion neural networks (CRDNNs)
Fractional-order
Multiple couplings
Synchronization

Access to Document

10.1016/j.isatra.2022.11.009

Cite this

@article{c98491be9ec340b589b8830621401232,

title = "Synchronization and adaptive control for coupled fractional-order reaction–diffusion neural networks with multiple couplings",

abstract = "In this paper, two kinds of coupled fractional-order reaction–diffusion neural networks (CFORDNNs) with multiple state couplings or spatial diffusion couplings are proposed. By resorting to the Laplace transform and the properties of Mittag-Leffler functions, sufficient synchronization conditions are derived for the concerned network models. In addition, to guarantee the synchronization of these two networks, several appropriate adaptive control schemes are also developed. Ultimately, the validity of the devised adaptive strategies are verified by adopting some numerical examples with simulation results.",

keywords = "Adaptive control, Coupled reaction–diffusion neural networks (CRDNNs), Fractional-order, Multiple couplings, Synchronization",

author = "Wang, \{Jin Liang\} and Du, \{Xin Yu\} and Liu, \{Chen Guang\}",

note = "Publisher Copyright: {\textcopyright} 2022 ISA",

year = "2023",

month = may,

doi = "10.1016/j.isatra.2022.11.009",

language = "英语",

volume = "136",

pages = "93--103",

journal = "ISA Transactions",

issn = "0019-0578",

publisher = "International Society of Automation",

}

TY - JOUR

T1 - Synchronization and adaptive control for coupled fractional-order reaction–diffusion neural networks with multiple couplings

AU - Wang, Jin Liang

AU - Du, Xin Yu

AU - Liu, Chen Guang

PY - 2023/5

Y1 - 2023/5

N2 - In this paper, two kinds of coupled fractional-order reaction–diffusion neural networks (CFORDNNs) with multiple state couplings or spatial diffusion couplings are proposed. By resorting to the Laplace transform and the properties of Mittag-Leffler functions, sufficient synchronization conditions are derived for the concerned network models. In addition, to guarantee the synchronization of these two networks, several appropriate adaptive control schemes are also developed. Ultimately, the validity of the devised adaptive strategies are verified by adopting some numerical examples with simulation results.

AB - In this paper, two kinds of coupled fractional-order reaction–diffusion neural networks (CFORDNNs) with multiple state couplings or spatial diffusion couplings are proposed. By resorting to the Laplace transform and the properties of Mittag-Leffler functions, sufficient synchronization conditions are derived for the concerned network models. In addition, to guarantee the synchronization of these two networks, several appropriate adaptive control schemes are also developed. Ultimately, the validity of the devised adaptive strategies are verified by adopting some numerical examples with simulation results.

KW - Adaptive control

KW - Coupled reaction–diffusion neural networks (CRDNNs)

KW - Fractional-order

KW - Multiple couplings

KW - Synchronization

UR - https://www.scopus.com/pages/publications/85142859636

U2 - 10.1016/j.isatra.2022.11.009

DO - 10.1016/j.isatra.2022.11.009

M3 - 文章

C2 - 36437172

AN - SCOPUS:85142859636

SN - 0019-0578

VL - 136

SP - 93

EP - 103

JO - ISA Transactions

JF - ISA Transactions

ER -

Synchronization and adaptive control for coupled fractional-order reaction–diffusion neural networks with multiple couplings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this