Local synchronization for complex dynamical networks with switching coupling matrices and time delays

Author

Wang, Tianbo ; Zhou, Wuneng ; Mou, Jinping

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China

fYear

2011

fDate

23-25 May 2011

Firstpage

1635

Lastpage

1639

Abstract

This technical letter investigates the local synchronization for complex dynamical networks with switching coupling matrices and time delays. The time delays include discrete time delay and distributed time delay. The outer-coupling matrices in the considered complex networks are assumed to vary with a Markov process taking finite values. Based on a novel Lyapunov function and complete square method, a criteria is obtained to guarantee the local synchronization for complex networks. Finally, a numerical example is provided to show the effectiveness of our proposed methods.

Keywords

Lyapunov matrix equations; Markov processes; delay systems; discrete time systems; large-scale systems; synchronisation; time-varying systems; Lyapunov function; Markov process; complex dynamical network; discrete time delay; distributed time delay; local synchronization; outer-coupling matrix; square method; switching coupling matrix; Complex networks; Couplings; Delay; Delay effects; Markov processes; Symmetric matrices; Synchronization; Complex networks; local synchronization; time delays; white noises;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968455

Filename

5968455