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 :
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