PASSIVITY-BASED SYNCHRONIZATION FOR SWITCHED DYNAMICAL NETWORKS WITH AND WITHOUT COUPLING TIME-VARYING DELAYS

Chen Guang Liu; Michael V. Basin; Qing Gao; Hao Liu

doi:10.3934/dcdss.2023005

PASSIVITY-BASED SYNCHRONIZATION FOR SWITCHED DYNAMICAL NETWORKS WITH AND WITHOUT COUPLING TIME-VARYING DELAYS

Chen Guang Liu
, Michael V. Basin
, Qing Gao^*
, Hao Liu

^*Corresponding author for this work

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

2 Scopus citations

Abstract

This paper investigates the passivity-based synchronization for switched dynamical networks (SDNs) with and without coupling time-varying delays. By utilizing the Lyapunov functional method, several sufficient con- ditions are derived to guarantee the passivity for SDNs, and the association between synchronization and passivity of the system is also revealed. In partic- ular, both the cases that the SDNs are with and without coupling time-varying delays are tackled, wherein the synchronization criteria are derived. Finally, two illustrative numerical examples are exploited to verify the effectiveness of the passivity-based synchronization criteria and to demonstrate the advantage of the proposed approach.

Original language	English
Pages (from-to)	1761-1782
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	16
Issue number	7
DOIs	https://doi.org/10.3934/dcdss.2023005
State	Published - Jul 2023

Keywords

Complex networks
coupling time-varying delay
passivity
switching topology
synchronization

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title = "PASSIVITY-BASED SYNCHRONIZATION FOR SWITCHED DYNAMICAL NETWORKS WITH AND WITHOUT COUPLING TIME-VARYING DELAYS",

abstract = "This paper investigates the passivity-based synchronization for switched dynamical networks (SDNs) with and without coupling time-varying delays. By utilizing the Lyapunov functional method, several sufficient con- ditions are derived to guarantee the passivity for SDNs, and the association between synchronization and passivity of the system is also revealed. In partic- ular, both the cases that the SDNs are with and without coupling time-varying delays are tackled, wherein the synchronization criteria are derived. Finally, two illustrative numerical examples are exploited to verify the effectiveness of the passivity-based synchronization criteria and to demonstrate the advantage of the proposed approach.",

keywords = "Complex networks, coupling time-varying delay, passivity, switching topology, synchronization",

author = "Liu, \{Chen Guang\} and Basin, \{Michael V.\} and Qing Gao and Hao Liu",

year = "2023",

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AU - Liu, Chen Guang

AU - Basin, Michael V.

AU - Gao, Qing

AU - Liu, Hao

PY - 2023/7

Y1 - 2023/7

N2 - This paper investigates the passivity-based synchronization for switched dynamical networks (SDNs) with and without coupling time-varying delays. By utilizing the Lyapunov functional method, several sufficient con- ditions are derived to guarantee the passivity for SDNs, and the association between synchronization and passivity of the system is also revealed. In partic- ular, both the cases that the SDNs are with and without coupling time-varying delays are tackled, wherein the synchronization criteria are derived. Finally, two illustrative numerical examples are exploited to verify the effectiveness of the passivity-based synchronization criteria and to demonstrate the advantage of the proposed approach.

AB - This paper investigates the passivity-based synchronization for switched dynamical networks (SDNs) with and without coupling time-varying delays. By utilizing the Lyapunov functional method, several sufficient con- ditions are derived to guarantee the passivity for SDNs, and the association between synchronization and passivity of the system is also revealed. In partic- ular, both the cases that the SDNs are with and without coupling time-varying delays are tackled, wherein the synchronization criteria are derived. Finally, two illustrative numerical examples are exploited to verify the effectiveness of the passivity-based synchronization criteria and to demonstrate the advantage of the proposed approach.

KW - Complex networks

KW - coupling time-varying delay

KW - passivity

KW - switching topology

KW - synchronization

UR - https://www.scopus.com/pages/publications/85153031406

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M3 - 文章

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VL - 16

SP - 1761

EP - 1782

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 7

ER -

PASSIVITY-BASED SYNCHRONIZATION FOR SWITCHED DYNAMICAL NETWORKS WITH AND WITHOUT COUPLING TIME-VARYING DELAYS

Abstract

Keywords

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