Pinning control of complex networks with unbounded time-varying delays

Author

Xiwei Liu ; Yuan Xu

Author_Institution

Dept. of Comput. Sci. & Technol., Tongji Univ., Shanghai, China

fYear

2015

fDate

23-25 May 2015

Firstpage

4452

Lastpage

4457

Abstract

The pinning control problem of directed complex dynamical networks with unbounded time-varying delays is investigated in this paper. Previous related works investigate the synchronization without any external control; while in this paper, external pinning control is added on the network, and this is the main difference between this paper and previous works. In order to realize the synchronization, we design a simple controller to pin the network. Some sufficient criteria are deduced from the method of linear matrix inequality (LMI). Finally, the correct of our theoretical results is verified by numerical examples.

Keywords

complex networks; control system synthesis; delay systems; linear matrix inequalities; synchronisation; time-varying systems; LMI; controller design; directed complex dynamical networks; external pinning control; linear matrix inequality; sufficient criteria; synchronization; unbounded time-varying delays; Adaptation models; Complex networks; Couplings; Delays; Symmetric matrices; Synchronization; Trajectory; Complex networks; Pinning control; Synchronization; Time-varying; Unbounded delay;

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.2015.7162709

Filename

7162709