时间尺度上带有反应扩散项和狄利克雷边值的BAM神经网络模型的稳定性

Stability Analysis for BAM Neural Networks with Reaction-Diffusion Terms and Dirichlet Boundary Conditions on Time Scales

在时间尺度上通过构造合适的李雅普诺夫函数,并使用一些分析技巧,研究带有反应扩散项和狄利克雷边值的BAM神经网络模型,获得了一些使得带有反应扩散项和狄利克雷边值的BAM神经网络模型的平衡点全局指数稳定的充分条件,并将以前的一些结论在时间尺度上做了扩展.

The stability of equilibrium solution to BAM cellular neural networks with Dirichlet boundary conditions and reaction‐diffusion terms on time scales is studied .Using Lyapunov functional and inequality skills ,we find some sufficient conditions ensuring global exponential stability of equilibrium point for BAM cellular neural networks with Dirichlet boundary conditions and reaction‐diffusion terms on time scales .An example is given to show the effectiveness of the results obtained .