Exponential synchronization of time-varying delays and non-delay coupled dynamical complex network via impulsive control

Author

Fenfen Yu ; Jianwen Feng ; Yi Zhao

Author_Institution

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

fYear

2015

fDate

23-25 May 2015

Firstpage

3721

Lastpage

3726

Abstract

In this paper, we investigate the exponential synchronization of time-varying delays and non-delay coupled dynamical complex network via impulsive control. By introducing the concept of “average impulsive interval” and utilizing the property of a special matrix M, some sufficient conditions are derived to guarantee the global exponential synchronization for all initial values based on the impulsive delay differential inequality and Lyapunov Stability Theorem. And moreover, the exponential convergence rate can be specified, and some numerical examples are given to illustrate the theoretical results.

Keywords

Lyapunov methods; complex networks; delay systems; matrix algebra; networked control systems; synchronisation; time-varying systems; Lyapunov stability theorem; average impulsive interval concept; exponential convergence rate; global exponential synchronization; impulsive control; impulsive delay differential inequality; nondelay coupled dynamical complex network; sufficient conditions; time-varying delays; Complex networks; Couplings; Delays; Linear matrix inequalities; Lyapunov methods; Symmetric matrices; Synchronization; Average Impulsive Interval; Impulsive Control; Non-delay Coupled; Time-varying Delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162573

Filename

7162573