Title
Impulsive H∞ synchronization for reaction-diffusion neural networks with mixed delays.
Abstract
This paper presents a study on impulsive H∞ synchronization analysis of reaction–diffusion neural networks with discrete and distributed delays. It is assumed that the output information of the drive system is only available at discrete instants, and the dynamics of the response system are subject to external disturbance. To achieve H∞ synchronization, an impulsive synchronization strategy is proposed which is based on feedback from the sampled-data of the drive and response dynamics. Novel time-dependent Lyapunov function/functional methods are developed for L2-gain analysis of synchronization error systems, both for fast-varying delays and for slowly-varying delays. LMI-based optimization methods are suggested to design impulsive H∞ synchronization controllers with minimized feedback gain. Numerical simulations are provided to validate the effectiveness of the theoretical results.
Year
DOI
Venue
2018
10.1016/j.neucom.2017.07.023
Neurocomputing
Keywords
Field
DocType
Reaction–diffusion neural networks,H∞ synchronization,Impulsive control,Time-dependent Lyapunov function/functional,Linear matrix inequality (LMI)
Lyapunov function,Synchronization,Control theory,Artificial neural network,Reaction–diffusion system,Mathematics
Journal
Volume
ISSN
Citations 
272
0925-2312
2
PageRank 
References 
Authors
0.39
27
3
Name
Order
Citations
PageRank
Lijun Liu1112.85
Wu-Hua Chen286958.24
Xiaomei Lu31248.38