Robust H∞ synchronization for parabolic complex networks with coupling time-varying delays

Chen Guang Liu; Yige Guo; Qing Gao; Kexin Zhang

doi:10.1016/j.jfranklin.2023.12.035

Robust H_∞ synchronization for parabolic complex networks with coupling time-varying delays

Chen Guang Liu
, Yige Guo
, Qing Gao^*
, Kexin Zhang

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University
Zhongguancun Laboratory

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

13 Scopus citations

Abstract

This paper delves into the robust H_∞ synchronization for diffusion-type parabolic complex networks (PCNs) characterized by second-order nonlinear partial differential equations (PDEs). Given that the potential deterioration of network performance or the loss of network synchronization caused by external disturbances and time delays, the analysis and synthesis results for the robust H_∞ synchronization of the PCNs with coupling time-varying delays are derived with and without the utilization of the distributed adaptive state feedback control protocol. A numerical example is employed to validate the effectiveness of the acquired H_∞ synchronization results and the adaptive protocol.

Original language	English
Pages (from-to)	1347-1358
Number of pages	12
Journal	Journal of the Franklin Institute
Volume	361
Issue number	3
DOIs	https://doi.org/10.1016/j.jfranklin.2023.12.035
State	Published - Feb 2024

Keywords

Coupling time-varying delays
Distributed adaptive state feedback control
H synchronization
Parabolic complex networks (PCNs)

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10.1016/j.jfranklin.2023.12.035

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title = "Robust H∞ synchronization for parabolic complex networks with coupling time-varying delays",

abstract = "This paper delves into the robust H∞ synchronization for diffusion-type parabolic complex networks (PCNs) characterized by second-order nonlinear partial differential equations (PDEs). Given that the potential deterioration of network performance or the loss of network synchronization caused by external disturbances and time delays, the analysis and synthesis results for the robust H∞ synchronization of the PCNs with coupling time-varying delays are derived with and without the utilization of the distributed adaptive state feedback control protocol. A numerical example is employed to validate the effectiveness of the acquired H∞ synchronization results and the adaptive protocol.",

keywords = "Coupling time-varying delays, Distributed adaptive state feedback control, H synchronization, Parabolic complex networks (PCNs)",

author = "Liu, \{Chen Guang\} and Yige Guo and Qing Gao and Kexin Zhang",

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doi = "10.1016/j.jfranklin.2023.12.035",

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T1 - Robust H∞ synchronization for parabolic complex networks with coupling time-varying delays

AU - Liu, Chen Guang

AU - Guo, Yige

AU - Gao, Qing

AU - Zhang, Kexin

PY - 2024/2

Y1 - 2024/2

N2 - This paper delves into the robust H∞ synchronization for diffusion-type parabolic complex networks (PCNs) characterized by second-order nonlinear partial differential equations (PDEs). Given that the potential deterioration of network performance or the loss of network synchronization caused by external disturbances and time delays, the analysis and synthesis results for the robust H∞ synchronization of the PCNs with coupling time-varying delays are derived with and without the utilization of the distributed adaptive state feedback control protocol. A numerical example is employed to validate the effectiveness of the acquired H∞ synchronization results and the adaptive protocol.

AB - This paper delves into the robust H∞ synchronization for diffusion-type parabolic complex networks (PCNs) characterized by second-order nonlinear partial differential equations (PDEs). Given that the potential deterioration of network performance or the loss of network synchronization caused by external disturbances and time delays, the analysis and synthesis results for the robust H∞ synchronization of the PCNs with coupling time-varying delays are derived with and without the utilization of the distributed adaptive state feedback control protocol. A numerical example is employed to validate the effectiveness of the acquired H∞ synchronization results and the adaptive protocol.

KW - Coupling time-varying delays

KW - Distributed adaptive state feedback control

KW - H synchronization

KW - Parabolic complex networks (PCNs)

UR - https://www.scopus.com/pages/publications/85182521401

U2 - 10.1016/j.jfranklin.2023.12.035

DO - 10.1016/j.jfranklin.2023.12.035

M3 - 文章

AN - SCOPUS:85182521401

SN - 0016-0032

VL - 361

SP - 1347

EP - 1358

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 3

ER -

Robust H_∞ synchronization for parabolic complex networks with coupling time-varying delays

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Keywords

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