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
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;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022120