It型随机抛物型神经网络的指数稳定性

Exponential stability of It stochastic parabolic neural networks

由高斯白噪声驱动的It型随机抛物型神经网络的稳定性,利用随机Lyapunov稳定性理论,Halanay不等式、改进的积分不等式,得到了与扩散项及时滞相关的稳定性判据,该条件在实际中容易验证,最后给出了数值算例,验证所得结果的有效性.

A class of Ito^stochastic parabolic neural networks model was considered.The exponential stability condition of the systems was developed by using stability theory of stochastic system and improved integral inequality.The conditions were diffusion -dependent,which was clearly more accurate than the Poincare -type inequality in previously reported literatures.Finally,a numerical simulation example was provided to illustrate the feasibility and effective of the proposed method.