Delay independent synchronization of complex network via hybrid control

Author

Yang, Meng ; Yan-Wu Wang ; Wang, Yan-Wu ; Tanaka, Kazuo ; Guan, Zhi-Hong

Author_Institution

Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan

fYear

2008

fDate

11-13 June 2008

Firstpage

2266

Lastpage

2271

Abstract

This paper studies synchronization properties of two classes of complex networks: directed time-varying network and undirected time-invariant network with constant edge weights. Based on Lyapunov stability theory, sufficient conditions for globally exponential and asymptotical synchronization are proposed for both of the two networks under control, which consists of an impulsive controller and a switching controller with time-invariant delayed. A numerical example is provided for illustration.

Keywords

Lyapunov methods; asymptotic stability; delay systems; invariance; large-scale systems; synchronisation; time-varying systems; Lyapunov stability theory; asymptotical synchronization; complex network; constant edge weights; delay independent synchronization; directed time-varying network; exponential synchronization; hybrid control; impulsive controller; switching controller; undirected time-invariant network; Complex networks; Control systems; Couplings; Delay effects; Lyapunov method; Mechanical engineering; Network topology; Rhythm; Sufficient conditions; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4586829

Filename

4586829