Paper Info
Title
Matrix projective synchronization for a class of discrete-time complex networks with commonality via controlling the crucial node
Abstract
This article proposes two control strategies to realize matrix projective synchronization (MPS) for a class of discrete-time complex dynamical networks (DTCDNs). It is worth pointing out that our network model is composed of nodes with different state dimensions and its outer coupling configuration matrix can be asymmetric. In addition, since a small percentage of nodes that play more important role than others usually exist in a network, thus, one important node, which is named as crucial node in this paper, is taken into account in our network model. Besides, the commonality between each node and the crucial node is also precisely expressed. Further, based on the crucial node and the commonality and associated with the Lyapunov stability theory, two control strategies are addressed to realize the exponential matrix projective synchronization (EMPS) and asymptotic matrix projective synchronization (AMPS), respectively. It should be stressed that only the crucial node is controlled and only the state of the crucial node is applied to design the EMPS and AMPS controllers. This is promising to reduce the control cost as much as possible and to improve the feasibility of our MPS strategies. The effectiveness and feasibility of our MPS schemes are rigorously proved in theory as well as verified by two numerical examples.
Year
DOI
Venue
2021
10.1016/j.neucom.2021.07.069
Neurocomputing
Keywords
DocType
Volume
Discrete-time complex dynamical networks,Matrix projective synchronization,Crucial node,Commonality,Different state dimensions
Journal
461
ISSN
Citations 
PageRank 
0925-2312
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
lili zhang182.46
Xiaoyun Fu200.34
Yinhe Wang3143.58
Youfa Lei421.65
Xuesong Chen581.81