Synchronization between two complex dynamical networks with time delay coupling and circumstance noise

Author

Yu, Gu ; Chunxia, Fan ; Qingyang, Wei ; Ying, Zhou

Author_Institution

Coll. of Autom., Nanjing Univ. of Posts & Telecommun., Nanjing, China

fYear

2012

fDate

25-27 July 2012

Firstpage

1113

Lastpage

1118

Abstract

The synchronization between two complex networks with time delay coupling and circumstance noise in the transmission channel is studied in this paper. Two kinds of networks are studied including states coupled and outputs coupled. In order to suppress the effect introduced by the noise, the synchronization controllers are designed by using the integral control approach. Some sufficient conditions of synchronization between two complex networks are derived in the form of linear matrix inequalities (LMIs) by using Lyapunov stability theory and H_∞ control approach. The synchronization errors are convergent to zeros with H_∞ performance index. Finally, two numerical examples are given to demonstrate the validity and effectiveness of the controllers proposed in the paper.

Keywords

H^∞ control; Lyapunov methods; delays; large-scale systems; linear matrix inequalities; stability; synchronisation; H_∞ control approach; H_∞ performance index; LMI; Lyapunov stability theory; circumstance noise; complex dynamical networks; integral control approach; linear matrix inequalities; synchronization; time delay coupling; transmission channel; Chaos; Complex networks; Couplings; Delay; Delay effects; Noise; Synchronization; H∞ performance; complex dynamical networks; linear matrix inequalities; noisy transmission channel; outer synchronization; time-delay coupling;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390091