Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms

Xiaonan Liu; Yonggui Kao

doi:10.1016/j.amc.2021.126406

Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms

Xiaonan Liu
, Yonggui Kao^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

14 Scopus citations

Abstract

In this paper, we mainly study the outer synchronization problem of complex dynamical networks (CDNs) involving delays and reaction-diffusion terms by aperiodically intermittent pinning control (AIPC). By using piecewise function and Lyapunov-Krasovskii functional method, some criteria for the complete and exponential outer synchronization of the corresponding CDNs with and without the coupling delay are obtained. Furthermore, two numerical examples are provided to illustrate the effectiveness of the obtained results.

Original language	English
Article number	126406
Journal	Applied Mathematics and Computation
Volume	410
DOIs	https://doi.org/10.1016/j.amc.2021.126406
State	Published - 1 Dec 2021
Externally published	Yes

Keywords

Aperiodically intermittent pinning control
Complex dynamical networks
Outer synchronization
Reaction-diffusion
Time-varying delays

Access to Document

10.1016/j.amc.2021.126406

Cite this

@article{385523b6538545e89bd49e43ef846b79,

title = "Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms",

abstract = "In this paper, we mainly study the outer synchronization problem of complex dynamical networks (CDNs) involving delays and reaction-diffusion terms by aperiodically intermittent pinning control (AIPC). By using piecewise function and Lyapunov-Krasovskii functional method, some criteria for the complete and exponential outer synchronization of the corresponding CDNs with and without the coupling delay are obtained. Furthermore, two numerical examples are provided to illustrate the effectiveness of the obtained results.",

keywords = "Aperiodically intermittent pinning control, Complex dynamical networks, Outer synchronization, Reaction-diffusion, Time-varying delays",

author = "Xiaonan Liu and Yonggui Kao",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2021",

month = dec,

day = "1",

doi = "10.1016/j.amc.2021.126406",

language = "英语",

volume = "410",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms

AU - Liu, Xiaonan

AU - Kao, Yonggui

PY - 2021/12/1

Y1 - 2021/12/1

N2 - In this paper, we mainly study the outer synchronization problem of complex dynamical networks (CDNs) involving delays and reaction-diffusion terms by aperiodically intermittent pinning control (AIPC). By using piecewise function and Lyapunov-Krasovskii functional method, some criteria for the complete and exponential outer synchronization of the corresponding CDNs with and without the coupling delay are obtained. Furthermore, two numerical examples are provided to illustrate the effectiveness of the obtained results.

AB - In this paper, we mainly study the outer synchronization problem of complex dynamical networks (CDNs) involving delays and reaction-diffusion terms by aperiodically intermittent pinning control (AIPC). By using piecewise function and Lyapunov-Krasovskii functional method, some criteria for the complete and exponential outer synchronization of the corresponding CDNs with and without the coupling delay are obtained. Furthermore, two numerical examples are provided to illustrate the effectiveness of the obtained results.

KW - Aperiodically intermittent pinning control

KW - Complex dynamical networks

KW - Outer synchronization

KW - Reaction-diffusion

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/85108345152

U2 - 10.1016/j.amc.2021.126406

DO - 10.1016/j.amc.2021.126406

M3 - 文章

AN - SCOPUS:85108345152

SN - 0096-3003

VL - 410

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 126406

ER -

Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this