Title
H∞ state estimation of stochastic memristor-based neural networks with time-varying delays.
Abstract
This paper addresses the problem of H∞ state estimation for a class of stochastic memristor-based neural networks with time-varying delays. Under the framework of Filippov solution, the stochastic memristor-based neural networks are transformed into systems with interval parameters. The present paper is the first to investigate the H∞ state estimation problem for continuous-time Itô-type stochastic memristor-based neural networks. By means of Lyapunov functionals and some stochastic technique, sufficient conditions are derived to ensure that the estimation error system is asymptotically stable in the mean square with a prescribed H∞ performance. An explicit expression of the state estimator gain is given in terms of linear matrix inequalities (LMIs). Compared with other results, our results reduce control gain and control cost effectively. Finally, numerical simulations are provided to demonstrate the efficiency of the theoretical results.
Year
DOI
Venue
2018
10.1016/j.neunet.2017.12.014
Neural Networks
Keywords
Field
DocType
H∞ state estimation,Memristor-based neural networks,Filippov solution,Time-varying delays
Applied mathematics,Mean square,Memristor,Mathematical optimization,State estimator,Matrix (mathematics),Artificial neural network,Lyapunov functionals,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
99
C
0893-6080
Citations 
PageRank 
References 
9
0.44
24
Authors
5
Name
Order
Citations
PageRank
Haibo Bao131112.15
Jinde Cao211399733.03
Jürgen Kurths32000142.58
A. Alsaedi474963.55
Bashir Ahmad535655.67