Title :
Asymptotic stability of stochastic reaction-diffusion delayed neural networks
Author :
Shuman Pan ; Lina Fu
Author_Institution :
Dept. of Math., Ningbo Univ., Ningbo, China
Abstract :
In this paper, we study a new class of stochastic neural networks with reaction-diffusion and time-varying delays. By employing a novel Lyapunov-Krasovskii functional, the Itô´s formula, the Green formula and stochastic analysis theory, we obtain a new set of sufficient conditions to ensure Stochastically asymptotic stability of stochastic of the suggested system. Moreover, a numerical example is given to show the effectiveness of the theoretical result.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; neurocontrollers; reaction-diffusion systems; stochastic systems; Green formula; Ito formula; Lyapunov-Krasovskii functional; asymptotic stability; stochastic analysis theory; stochastic reaction-diffusion delayed neural network; time-varying delay; Asymptotic stability; Biological neural networks; Delay; Numerical stability; Stability analysis; 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.2011.6022057