Contraction approach to bipartite synchronization for a network of nonlinear systems

Shidong Zhai; Di Liu; Qingdu Li

doi:10.1109/CCDC.2016.7531216

Contraction approach to bipartite synchronization for a network of nonlinear systems

Shidong Zhai^*
, Di Liu
, Qingdu Li

^*Corresponding author voor dit werk

Onderzoeksoutput › Academic › peer review

2 Citaten (Scopus)

Samenvatting

This paper studies the bipartite synchronization in a network of nonlinear systems. Under the assumption that the signed graph is structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we use contraction theory to obtain some sufficient conditions such that the network admits a bipartite synchronization solution. These conditions are described by the contractivity of lower-dimensional dynamic systems which are about the second smallest eigenvalue of signed graph. Some numerical examples are presented to illustrate the effectiveness of the obtained results.

Originele taal-2	English
Titel	Chinese Control and Decision Conference (CCDC)
Uitgeverij	IEEE
Pagina's	1471-1476
Aantal pagina's	5
ISBN van geprinte versie	978-1-4673-9714-8
DOI's	https://doi.org/10.1109/CCDC.2016.7531216
Status	Published - 2016
Extern gepubliceerd	Ja
Evenement	2016 Chinese Control and Decision Conference (CCDC) - Yinchuan, China Duur: 28-mei-2016 → 30-mei-2016

Conference

Conference	2016 Chinese Control and Decision Conference (CCDC)
Land/Regio	China
Stad	Yinchuan
Periode	28/05/2016 → 30/05/2016

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Contraction approach to bipartite synchronization for a network ofnonlinear systems
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title = "Contraction approach to bipartite synchronization for a network of nonlinear systems",

abstract = "This paper studies the bipartite synchronization in a network of nonlinear systems. Under the assumption that the signed graph is structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we use contraction theory to obtain some sufficient conditions such that the network admits a bipartite synchronization solution. These conditions are described by the contractivity of lower-dimensional dynamic systems which are about the second smallest eigenvalue of signed graph. Some numerical examples are presented to illustrate the effectiveness of the obtained results.",

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T1 - Contraction approach to bipartite synchronization for a network of nonlinear systems

AU - Zhai, Shidong

AU - Liu, Di

AU - Li, Qingdu

PY - 2016

Y1 - 2016

N2 - This paper studies the bipartite synchronization in a network of nonlinear systems. Under the assumption that the signed graph is structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we use contraction theory to obtain some sufficient conditions such that the network admits a bipartite synchronization solution. These conditions are described by the contractivity of lower-dimensional dynamic systems which are about the second smallest eigenvalue of signed graph. Some numerical examples are presented to illustrate the effectiveness of the obtained results.

AB - This paper studies the bipartite synchronization in a network of nonlinear systems. Under the assumption that the signed graph is structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we use contraction theory to obtain some sufficient conditions such that the network admits a bipartite synchronization solution. These conditions are described by the contractivity of lower-dimensional dynamic systems which are about the second smallest eigenvalue of signed graph. Some numerical examples are presented to illustrate the effectiveness of the obtained results.

UR - https://publons.com/publon/9485647/

U2 - 10.1109/CCDC.2016.7531216

DO - 10.1109/CCDC.2016.7531216

M3 - Conference contribution

SN - 978-1-4673-9714-8

SP - 1471

EP - 1476

BT - Chinese Control and Decision Conference (CCDC)

PB - IEEE

T2 - 2016 Chinese Control and Decision Conference (CCDC)

Y2 - 28 May 2016 through 30 May 2016

ER -

Contraction approach to bipartite synchronization for a network of nonlinear systems

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