PD control for passivity of coupled reaction-diffusion neural networks with multiple state couplings or spatial diffusion couplings

Rong Guo Liang; Jin Liang Wang

doi:10.1016/j.neucom.2021.12.070

PD control for passivity of coupled reaction-diffusion neural networks with multiple state couplings or spatial diffusion couplings

Rong Guo Liang
, Jin Liang Wang^*

^*Corresponding author for this work

Tiangong University

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

15 Scopus citations

Abstract

This paper studies the passivity for coupled reaction-diffusion neural networks with multiple state couplings (CRDNNMSCs) or spatial diffusion couplings (CRDNNMSDCs) by employing the proportional-derivative (PD) control method. Firstly, a PD control strategy is presented for the sake of ensuring the passivity of CRDNNMSCs, and a synchronization condition is also given by utilizing the output-strict passivity of CRDNNMSCs. In addition, some corresponding conditions for guaranteeing the passivity and synchronization of CRDNNMSDCs are also developed in virtue of PD controller. Lastly, the correctness of the obtained passivity and synchronization criteria for the proposed models is verified by two numerical examples.

Original language	English
Pages (from-to)	558-569
Number of pages	12
Journal	Neurocomputing
Volume	489
DOIs	https://doi.org/10.1016/j.neucom.2021.12.070
State	Published - 7 Jun 2022
Externally published	Yes

Keywords

Coupled reaction-diffusion neural networks
Multiple spatial diffusion couplings
Multiple state couplings
Passivity
Proportional-derivative controller
Synchronization

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10.1016/j.neucom.2021.12.070

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title = "PD control for passivity of coupled reaction-diffusion neural networks with multiple state couplings or spatial diffusion couplings",

abstract = "This paper studies the passivity for coupled reaction-diffusion neural networks with multiple state couplings (CRDNNMSCs) or spatial diffusion couplings (CRDNNMSDCs) by employing the proportional-derivative (PD) control method. Firstly, a PD control strategy is presented for the sake of ensuring the passivity of CRDNNMSCs, and a synchronization condition is also given by utilizing the output-strict passivity of CRDNNMSCs. In addition, some corresponding conditions for guaranteeing the passivity and synchronization of CRDNNMSDCs are also developed in virtue of PD controller. Lastly, the correctness of the obtained passivity and synchronization criteria for the proposed models is verified by two numerical examples.",

keywords = "Coupled reaction-diffusion neural networks, Multiple spatial diffusion couplings, Multiple state couplings, Passivity, Proportional-derivative controller, Synchronization",

author = "Liang, \{Rong Guo\} and Wang, \{Jin Liang\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2022",

month = jun,

day = "7",

doi = "10.1016/j.neucom.2021.12.070",

language = "英语",

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journal = "Neurocomputing",

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TY - JOUR

T1 - PD control for passivity of coupled reaction-diffusion neural networks with multiple state couplings or spatial diffusion couplings

AU - Liang, Rong Guo

AU - Wang, Jin Liang

PY - 2022/6/7

Y1 - 2022/6/7

N2 - This paper studies the passivity for coupled reaction-diffusion neural networks with multiple state couplings (CRDNNMSCs) or spatial diffusion couplings (CRDNNMSDCs) by employing the proportional-derivative (PD) control method. Firstly, a PD control strategy is presented for the sake of ensuring the passivity of CRDNNMSCs, and a synchronization condition is also given by utilizing the output-strict passivity of CRDNNMSCs. In addition, some corresponding conditions for guaranteeing the passivity and synchronization of CRDNNMSDCs are also developed in virtue of PD controller. Lastly, the correctness of the obtained passivity and synchronization criteria for the proposed models is verified by two numerical examples.

AB - This paper studies the passivity for coupled reaction-diffusion neural networks with multiple state couplings (CRDNNMSCs) or spatial diffusion couplings (CRDNNMSDCs) by employing the proportional-derivative (PD) control method. Firstly, a PD control strategy is presented for the sake of ensuring the passivity of CRDNNMSCs, and a synchronization condition is also given by utilizing the output-strict passivity of CRDNNMSCs. In addition, some corresponding conditions for guaranteeing the passivity and synchronization of CRDNNMSDCs are also developed in virtue of PD controller. Lastly, the correctness of the obtained passivity and synchronization criteria for the proposed models is verified by two numerical examples.

KW - Coupled reaction-diffusion neural networks

KW - Multiple spatial diffusion couplings

KW - Multiple state couplings

KW - Passivity

KW - Proportional-derivative controller

KW - Synchronization

UR - https://www.scopus.com/pages/publications/85123873203

U2 - 10.1016/j.neucom.2021.12.070

DO - 10.1016/j.neucom.2021.12.070

M3 - 文章

AN - SCOPUS:85123873203

SN - 0925-2312

VL - 489

SP - 558

EP - 569

JO - Neurocomputing

JF - Neurocomputing

ER -

PD control for passivity of coupled reaction-diffusion neural networks with multiple state couplings or spatial diffusion couplings

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Keywords

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