Exponentially Synchronization of Stochastic Complex Networks with Time-varying Delays and Switching Topology via Pinning Control

Author

Wang, Jingyi ; Feng, Jianwen ; Zhao, Yi

Author_Institution

Coll. of Math. & Comput. Sci., Shenzhen Univ., Shenzhen, China

fYear

2011

fDate

3-4 Dec. 2011

Firstpage

263

Lastpage

267

Abstract

In this paper, the exponentially synchronization is investigated for stochastic complex networks with both switching topology and time-varying delays via pinning control. The model of complex network is quite general since many factors such as noise perturbations, switching topology and internal and outer time-varying delays are considered. By employing the Lyapunov-Krasovskii functional, the Ito formula, stochastic analysis theory as well as linear matrix inequality (LMI), the sufficient conditions are derived to guarantee the exponentially synchronization. The numerical examples are provided to show the effectiveness of the theoretical results.

Keywords

Lyapunov methods; complex networks; delays; linear matrix inequalities; stochastic systems; Ito formula; Lyapunov-Krasovskii functional; exponentially synchronization; linear matrix inequality; noise perturbations; pinning control; stochastic analysis theory; stochastic complex networks; switching topology; time-varying delays; Complex networks; Couplings; Delay; Switches; Synchronization; Topology; Exponentially Synchronization; Pinning Control; Stochastic Complex Networks; Switching; Time-varying Delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Security (CIS), 2011 Seventh International Conference on

Conference_Location

Hainan

Print_ISBN

978-1-4577-2008-6

Type

conf

DOI

10.1109/CIS.2011.66

Filename

6128119