Paper Info
Title
On designing decentralized impulsive controllers for synchronization of complex dynamical networks with nonidentical nodes and coupling delays
Abstract
This paper investigates the problem of designing decentralized impulsive controllers for synchronization of a class of complex dynamical networks (CDNs) about some prescribed goal function. The CDNs are allowed to possess nonidentical nodes and coupling delays. Two cases of time-varying coupling delays are considered: the case where the coupling delays are uniformly bounded, and the case where the derivatives of the coupling delays are not greater than 1. The synchronization analysis for the first case is performed by applying a time-varying Lyapunov function based method combined with Razumikhin-type technique, while the synchronization analysis for the second case is conducted based on a time-varying Lyapunov functional based method. For each case, by utilizing a convex combination technique, the resulting synchronization criterion is formulated as the feasibility problem of a set of linear matrix inequalities (LMIs). Then, sufficient conditions on the existence of a decentralized impulsive controller are presented by employing these newly obtained synchronization criteria. The local impulse gain matrices can be designed by solving a set of LMIs. Finally, two representative examples are given to illustrate the correctness of the theoretical results.
Year
DOI
Venue
2014
10.1016/j.jfranklin.2014.04.014
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
351
8
ISSN
Citations 
PageRank 
0016-0032
13
0.60
References 
Authors
19
4
Name
Order
Citations
PageRank
Wu-Hua Chen186958.24
zhiyong jiang2281.28
jiacheng zhong3281.28
Xiaomei Lu41248.38