Pinning Control of MLW-based Complex Dynamical Networks - Discrete Time Case

Author

Zengqiang Chen ; Linying Xiang ; Zhongxin Liu ; Zhuzhi Yuan

Author_Institution

Dept. of Autom., Nankai Univ., Tianjin

Volume

1

fYear

2006

fDate

21-23 June 2006

Firstpage

11

Lastpage

15

Abstract

A new complex dynamical network based on multi-local-world (MLW) model is first introduced. Then, control of this kind of complex dynamical network by applying local feedback injections to a tiny fraction of local worlds in the whole network is investigated. Stability conditions are derived for several different dynamical network models including time-invariant networks, time-varying networks and time-delay networks in discrete-time domain respectively. Especially, stabilization of such networks is completely determined by the coupling strength, the inner-coupling matrix, and by the eigenvalues of the coupling configuration matrix and feedback gain matrix

Keywords

delay systems; discrete time systems; eigenvalues and eigenfunctions; feedback; large-scale systems; matrix algebra; multivariable systems; stability; time-varying systems; complex dynamical networks; coupling configuration matrix; discrete-time domain; eigenvalues; feedback gain matrix; inner-coupling matrix; multilocal-world model; pinning control; stability; time-delay networks; time-invariant networks; time-varying networks; Automatic control; Automation; Biological system modeling; Complex networks; Computer aided software engineering; Delay effects; Educational programs; Eigenvalues and eigenfunctions; Feedback; Stability; Discrete-time complex dynamical network; Local world feedback; MLW model; Pinning control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712342

Filename

1712342