具反应扩散项变时滞细胞神经网络模型指数稳定性的新结果

A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays

针对一类具反应扩散项的变时滞细胞神经网络模型,利用Poincare不等式与Hanalay不等式等知识,获得了该系统的指数稳定性条件,该稳定性条件包含了扩散算子项,与以往结果比较,获得的指数稳定性条件更强,且降低了已有结论的保守性.最后,通过实例说明该方法的有效性.

Based on extended Hanalay inequality, the exponential asymptotic stability for a class of cellular neural networks with delays and reaction-diffusion terms is investigated by using Poincare inequality. The obtained criteria have a distinguished feature from previous studies, and our results contain diffusion operator terms. The new results are less conservative than the existing ones. Finally, an illustrative example is give to verify the effectiveness of the method.