Pinning synchronization for a class of chaotic complex networks with H∞ performance

Author

Wan Youhong ; Xu Ji ; Jiang Guoping ; Fan Chunxia

Author_Institution

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

fYear

2014

fDate

28-30 July 2014

Firstpage

2823

Lastpage

2828

Abstract

The robust H_∞ pinning synchronization issue for a class of chaotic nonlinear complex networks under the external interference is investigated in this paper. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) technique, several synchronization criteria are proposed to ensure synchronization via pinning control with a guaranteed H_∞ performance index. Moreover, the control gains of designed controllers can be achieved via the feasible solutions of LMIs. Finally, numerical simulations are illustrated to verify the proposed pinning scheme.

Keywords

H^∞ control; Lyapunov methods; chaos; complex networks; control system synthesis; linear matrix inequalities; nonlinear control systems; stability; synchronisation; LMI technique; Lyapunov stability theory; chaotic nonlinear complex networks; control gains; external interference; guaranteed H_∞ performance index; linear matrix inequality technique; numerical simulations; robust H_∞ pinning synchronization criteria; Attenuation; Chaos; Complex networks; Eigenvalues and eigenfunctions; Interference; Robustness; Synchronization; LMI; chaotic complex networks; pinning control; robust H∞ synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897086

Filename

6897086