Title
Adaptive almost sure asymptotically stability for neutral-type neural networks with stochastic perturbation and Markovian switching.
Abstract
The problem of stability via adaptive controller is considered for time-delay neutral-type neural networks with stochastic noise and Markovian switching in this paper. A new criterion of almost sure (a.s.) asymptotic stability for a general neutral-type stochastic differential equation is proposed. Based on this criterion, and by using of the generalized Itô¿s formula and the M-matrix method, a delay dependent sufficient condition is established to ensure the almost sure asymptotic stability for neutral-type neural networks with stochastic perturbation and Markovian switching. Meanwhile, the update law of the feedback control is determined. A numerical example is provided to verify the usefulness of the criterion proposed in this paper.
Year
DOI
Venue
2015
10.1016/j.neucom.2014.12.069
Neurocomputing
Keywords
Field
DocType
stability
Control theory,Control theory,Stochastic neural network,Stochastic differential equation,Markovian switching,Exponential stability,Artificial neural network,Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
156
C
0925-2312
Citations 
PageRank 
References 
4
0.42
12
Authors
5
Name
Order
Citations
PageRank
Liuwei Zhou1592.79
Zhijie Wang28911.14
Xiantao Hu340.42
Bo Chu440.42
Wuneng Zhou546753.74