Eigenvalue based approach to pinning synchronization in general coupled networks

Linying Xiang; Jonathan J. H. Zhu

doi:10.1109/CDC.2009.5400587

Eigenvalue based approach to pinning synchronization in general coupled networks

Department of Media and Communication

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

3 Citations (Scopus)

Abstract

The synchronization in general coupled networks forced by pinning control is investigated based on eigenvalue analysis. The stable regions for different types of inner coupling links are obtained and the eigenvalue distributions of the coupling and control matrices are analyzed. The effects of network size, weight value of edges, pinning density and pinning strength on the network stability are also tested in numerical studies. It is found that the pinning stability can be improved via increasing the weight of the edges, pinning density and pinning strength for types (i), (iii) and (iv) stable regions, whereas for type (ii) critical curve, too large pinning density and pinning strength will break stable synchronous state. ©2009 IEEE.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	2742-2747
DOIs	https://doi.org/10.1109/CDC.2009.5400587
Publication status	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009

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Name
ISSN (Print)	0191-2216

Conference

Conference	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09

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10.1109/CDC.2009.5400587

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@inproceedings{671877cc7a1a41b28d71c48575d25a3a,

title = "Eigenvalue based approach to pinning synchronization in general coupled networks",

abstract = "The synchronization in general coupled networks forced by pinning control is investigated based on eigenvalue analysis. The stable regions for different types of inner coupling links are obtained and the eigenvalue distributions of the coupling and control matrices are analyzed. The effects of network size, weight value of edges, pinning density and pinning strength on the network stability are also tested in numerical studies. It is found that the pinning stability can be improved via increasing the weight of the edges, pinning density and pinning strength for types (i), (iii) and (iv) stable regions, whereas for type (ii) critical curve, too large pinning density and pinning strength will break stable synchronous state. {\textcopyright}2009 IEEE.",

author = "Linying Xiang and Zhu, {Jonathan J. H.}",

year = "2009",

doi = "10.1109/CDC.2009.5400587",

language = "English",

isbn = "9781424438716",

pages = "2742--2747",

booktitle = "Proceedings of the IEEE Conference on Decision and Control",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

}

Xiang, L & Zhu, JJH 2009, Eigenvalue based approach to pinning synchronization in general coupled networks. in Proceedings of the IEEE Conference on Decision and Control., 5400587, pp. 2742-2747, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5400587

TY - GEN

T1 - Eigenvalue based approach to pinning synchronization in general coupled networks

AU - Xiang, Linying

AU - Zhu, Jonathan J. H.

PY - 2009

Y1 - 2009

N2 - The synchronization in general coupled networks forced by pinning control is investigated based on eigenvalue analysis. The stable regions for different types of inner coupling links are obtained and the eigenvalue distributions of the coupling and control matrices are analyzed. The effects of network size, weight value of edges, pinning density and pinning strength on the network stability are also tested in numerical studies. It is found that the pinning stability can be improved via increasing the weight of the edges, pinning density and pinning strength for types (i), (iii) and (iv) stable regions, whereas for type (ii) critical curve, too large pinning density and pinning strength will break stable synchronous state. ©2009 IEEE.

AB - The synchronization in general coupled networks forced by pinning control is investigated based on eigenvalue analysis. The stable regions for different types of inner coupling links are obtained and the eigenvalue distributions of the coupling and control matrices are analyzed. The effects of network size, weight value of edges, pinning density and pinning strength on the network stability are also tested in numerical studies. It is found that the pinning stability can be improved via increasing the weight of the edges, pinning density and pinning strength for types (i), (iii) and (iv) stable regions, whereas for type (ii) critical curve, too large pinning density and pinning strength will break stable synchronous state. ©2009 IEEE.

UR - http://www.scopus.com/inward/record.url?scp=77950835654&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77950835654&origin=recordpage

U2 - 10.1109/CDC.2009.5400587

DO - 10.1109/CDC.2009.5400587

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781424438716

SP - 2742

EP - 2747

BT - Proceedings of the IEEE Conference on Decision and Control

T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

Y2 - 15 December 2009 through 18 December 2009

ER -

Eigenvalue based approach to pinning synchronization in general coupled networks

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