Title
Exponential stability of neutral stochastic delay differential equations with Markovian switching
Abstract
In this paper, by using the Lyapunov stability theory, Dynkin’s formula, matrix theory, neutral differential equations theory and stochastic analysis techniques, we study the pth moment exponential stability for neutral stochastic delay differential equations (NSDDEs) with Markovian switching, p≥1. Some new conditions are derived to obtain the pth moment exponential stability of the trivial solution. At last, an example is presented to show the effectiveness of the proposed results.
Year
DOI
Venue
2016
10.1016/j.aml.2015.08.019
Applied Mathematics Letters
Keywords
Field
DocType
Brownian motion,Neutral,Exponential stability,Markovian switching
Mathematical optimization,Mathematical analysis,Matrix (mathematics),Lyapunov stability,Stochastic process,Exponential stability,Markovian switching,Delay differential equation,Brownian motion,Mathematics,Stability theory
Journal
Volume
ISSN
Citations 
52
0893-9659
3
PageRank 
References 
Authors
0.38
8
2
Name
Order
Citations
PageRank
Yan Xu1355.06
Zhimin He253635.90