Prescribed-Time Synchronization of Stochastic Complex Networks With High-Gain Coupling

Yongbao Wu; Haihua Guo; Lei Xue; Nallappan Gunasekaran; Jian Liu

doi:10.1109/TCSII.2023.3271150

Prescribed-Time Synchronization of Stochastic Complex Networks With High-Gain Coupling

Yongbao Wu
, Haihua Guo
, Lei Xue
, Nallappan Gunasekaran
, Jian Liu^*

^*Corresponding author for this work

Department of Biomedical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

27 Citations (Scopus)

Abstract

This paper considers prescribed-time synchronization of stochastic complex networks via a high-gain function. Different from fixed-time synchronization, the high-gain function is considered in the coupling term of the stochastic complex networks, which enables the stochastic complex networks to achieve the prescribed-time synchronization in a predetermined time rather than relying on the design of system parameters. Moreover, a synchronization criterion is provided. Besides, we can get that the coupling term with the high-gain function is bounded. Finally, two examples with numerical simulations are provided. © 2023 IEEE.

Original language	English
Pages (from-to)	4133-4137
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	70
Issue number	11
Online published	27 Apr 2023
DOIs	https://doi.org/10.1109/TCSII.2023.3271150
Publication status	Published - Nov 2023

Funding

This work was supported in part by the Natural Science Foundation of Jiangsu Province of China under Grant BK20220811, Grant BK20210214, and Grant BK20202006; in part by the National Natural Science Foundation of China under Grant 62203114 and Grant 62273094; in part by the Fundamental Research Funds for the Central Universities; in part by the Zhishan Scholars Programs of Southeast University; in part by the China Postdoctoral Science Foundation under Grant 2022M710684; in part by the Excellent Postdoctoral Foundation of Jiangsu Province of China under Grant 2022ZB116; and in part by the Key Laboratory of Industrial Internet of Things and Networked Control, Ministry of Education under Grant 2022FF01.

Research Keywords

Asymptotic stability
Complex networks
Convergence
Couplings
High-gain coupling
Laplace equations
Prescribed-time synchronization
Stochastic complex networks
Symmetric matrices
Synchronization

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title = "Prescribed-Time Synchronization of Stochastic Complex Networks With High-Gain Coupling",

abstract = "This paper considers prescribed-time synchronization of stochastic complex networks via a high-gain function. Different from fixed-time synchronization, the high-gain function is considered in the coupling term of the stochastic complex networks, which enables the stochastic complex networks to achieve the prescribed-time synchronization in a predetermined time rather than relying on the design of system parameters. Moreover, a synchronization criterion is provided. Besides, we can get that the coupling term with the high-gain function is bounded. Finally, two examples with numerical simulations are provided. {\textcopyright} 2023 IEEE.",

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author = "Yongbao Wu and Haihua Guo and Lei Xue and Nallappan Gunasekaran and Jian Liu",

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AU - Wu, Yongbao

AU - Guo, Haihua

AU - Xue, Lei

AU - Gunasekaran, Nallappan

AU - Liu, Jian

PY - 2023/11

Y1 - 2023/11

N2 - This paper considers prescribed-time synchronization of stochastic complex networks via a high-gain function. Different from fixed-time synchronization, the high-gain function is considered in the coupling term of the stochastic complex networks, which enables the stochastic complex networks to achieve the prescribed-time synchronization in a predetermined time rather than relying on the design of system parameters. Moreover, a synchronization criterion is provided. Besides, we can get that the coupling term with the high-gain function is bounded. Finally, two examples with numerical simulations are provided. © 2023 IEEE.

AB - This paper considers prescribed-time synchronization of stochastic complex networks via a high-gain function. Different from fixed-time synchronization, the high-gain function is considered in the coupling term of the stochastic complex networks, which enables the stochastic complex networks to achieve the prescribed-time synchronization in a predetermined time rather than relying on the design of system parameters. Moreover, a synchronization criterion is provided. Besides, we can get that the coupling term with the high-gain function is bounded. Finally, two examples with numerical simulations are provided. © 2023 IEEE.

KW - Asymptotic stability

KW - Complex networks

KW - Convergence

KW - Couplings

KW - High-gain coupling

KW - Laplace equations

KW - Prescribed-time synchronization

KW - Stochastic complex networks

KW - Symmetric matrices

KW - Synchronization

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U2 - 10.1109/TCSII.2023.3271150

DO - 10.1109/TCSII.2023.3271150

M3 - RGC 21 - Publication in refereed journal

SN - 1549-7747

VL - 70

SP - 4133

EP - 4137

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 11

ER -

Prescribed-Time Synchronization of Stochastic Complex Networks With High-Gain Coupling

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