Title
Passivity analysis of uncertain stochastic neural network with leakage and distributed delays under impulsive perturbations.
Abstract
In this paper, the problem of passivity analysis for a class of uncertain stochastic neural networks with mixed delays and impulsive control is investigated. The mixed delays include constant delay in the leakage term, discrete and distributed delays. The discrete delays are assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By using Lyapunov stability theory, stochastic analysis, linear matrix inequality techniques and introducing some free-weighting matrices, several novel sufficient conditions are derived to guarantee the passivity of the suggested system in the sense of mean square under two cases: with known or unknown parameters. It is believed that these results are significant and useful for the design and applications of impulsive stochastic neural networks. Finally, two numerical examples are provided to show the effectiveness of the theoretical results.
Year
DOI
Venue
2018
10.14736/kyb-2018-1-0003
KYBERNETIKA
Keywords
Field
DocType
distributed delays,leakage delay,passivity impulses,stochastic disturbances
Passivity,Leakage (electronics),Matrix (mathematics),Control theory,Stochastic neural network,Lyapunov stability,Stochastic process,Mathematics,Linear matrix inequality,Perturbation (astronomy)
Journal
Volume
Issue
ISSN
54
SP1
0023-5954
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Senthil Raj100.34
Raja Ramachandran211.04
R. Samidurai3362.25
Jinde Cao411399733.03
Xiaodi Li541020.60