DocumentCode
554010
Title
Existence and stability of periodic solution for a class of stochastic delayed neural networks
Author
Jialing Wang ; Quanxin Zhu
Author_Institution
Dept. of Math., Ningbo Univ., Ningbo, China
Volume
1
fYear
2011
fDate
26-28 July 2011
Firstpage
329
Lastpage
334
Abstract
This paper deals with a class of stochastic neural networks with mixed time delays. The mixed time delays considered in this paper are time varying and continuously distributed delays. By utilizing Lyapunov function, stochastic analysis, Halanay-type inequality and Young inequality, we establish the existence, uniqueness and pth moment exponential stability of periodic solution for the suggested system. Moreover, an example is provided to illustrate the effectiveness of the obtained results.
Keywords
Lyapunov methods; asymptotic stability; delays; neural nets; stochastic processes; Halanay-type inequality; Lyapunov function; Young inequality; continuously distributed delay; mixed time delays; periodic solution stability; pth moment exponential stability; stochastic analysis; stochastic delayed neural network; time varying delay; Biological neural networks; Delay; Delay effects; Numerical stability; Stability criteria; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location
Shanghai
ISSN
2157-9555
Print_ISBN
978-1-4244-9950-2
Type
conf
DOI
10.1109/ICNC.2011.6022120
Filename
6022120
Link To Document