Global exponential stability for shunting inhibitory CNNs with delays

In this paper, the global exponential stability for shunting inhibitory cellular neural networks (SICNNs) with delays is studied by constructing suitable Lyapunov functionals and applying some critical analysis techniques. The sufficient conditions guaranteeing the network’s global exponential stability are obtained. Our results impose less restrictive conditions than those in the references. Moreover an example is given to illustrate the feasibility of the conditions in our results.     

时滞分流抑制型细胞神经网络的周期解的指数稳定性

利用适当的李亚普若夫泛函,研究了时滞分流抑制型细胞神经网络的周期解的指数稳定性.     

具变时滞分流抑制型细胞神经网络的伪概周期解及吸引性

研究了分流抑制型细胞神经网络系统,得到其伪周期解存在性及其唯一性的充分条件,推广并改进了早期有关这方面研究的结果.通过构造Lyapunov函数并利用Banach压缩映像原理,得到本系统全局指数型稳定性解的充分条件.     

变时滞并联限制细胞神经网络的全局稳定性

研究了交时滞并联限制细胞神经网络的全局稳定性,给出了变时滞并联限制细胞神经网络全局鲁棒稳定和全局指数稳定的充分条件。