Title
Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control.
Abstract
Considering the fact that time delays are unavoidable in the control of practical systems, this paper considers globally exponential synchronization of complex-valued complex dynamical networks with multiple time-varying delays and stochastic perturbations by designing a time-delayed impulsive control scheme. By taking the advantage of Lyapunov method in complex field and utilizing an impulsive inequality with delays, several synchronization criteria are obtained through strict mathematical proofs. Our results are general which extend some existing ones concerning impulsive synchronization. A numerical example is given to illustrate the effectiveness of theoretical results.
Year
DOI
Venue
2017
10.1016/j.amc.2017.02.004
Applied Mathematics and Computation
Keywords
Field
DocType
Complex-valued complex networks,Time-delayed impulsive control,Stochastic perturbation,Synchronization
Lyapunov function,Mathematical optimization,Synchronization,Control theory,Exponential synchronization,Mathematical proof,Complex network,Mathematics,Perturbation (astronomy)
Journal
Volume
Issue
ISSN
306
C
0096-3003
Citations 
PageRank 
References 
12
0.54
18
Authors
4
Name
Order
Citations
PageRank
Lan Zhang1120.54
Xinsong Yang2131647.88
Chen Xu326929.36
Jianwen Feng420015.73