Pinning Synchronization of Directed Complex Dynamical Networks with Multi-links

Author

Sun, Haiyi ; Zhang, QingLing ; Li, Ning ; Niu, Hong

Author_Institution

Inst. of Syst. Sci., Shenyang JianZhu Univ., Shenyang, China

fYear

2010

Firstpage

24

Lastpage

28

Abstract

Based on a method of network split through different nature of time-delay, this paper is further investigates the pinning synchronization of the directed complex dynamical networks with multi-links. Via the theory of Lyapunov stability combined with linear matrix inequalities (LMIs) technique and the method of the free-weighting matrix, some sufficient conditions for global synchronization by adding linear feedback controllers to a part of nodes are obtained. Numerical examples are also provided to demonstrate the effectiveness of the theory.

Keywords

Lyapunov methods; delays; feedback; linear matrix inequalities; nonlinear dynamical systems; stability; synchronisation; Lyapunov stability; directed complex dynamical networks; free-weighting matrix; linear feedback controllers; linear matrix inequalities technique; network split; pinning synchronization; time-delay; Chaos; Complex networks; Couplings; Linear matrix inequalities; Sun; Symmetric matrices; Synchronization; directed complex networks with multi-links; global synchronization; linear matrix inequality; network split; pinning control;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Conference_Location

Kunming, Yunnan

Print_ISBN

978-1-4244-8815-5

Type

conf

DOI

10.1109/IWCFTA.2010.49

Filename

5671132