一类时延并联限制细胞神经网络的周期解

Periodic Solution of a Type of Shunting Inhibitory CNNs with Delays

研究一类时延并联限制细胞神经网络的周期解。利用压缩映射原理和构造Lyapunov泛函的方法,给出判定此系统周期解的存在唯一性及指数稳定性的条件,并给出了一个例子说明条件是可行的。这些条件可用于设计周期稳定的时延并联限制细胞神经网络,也很容易用简单的代数方法进行验证,这对此类细胞神经网络的设计和应用起到了重要作用。

The periodic solution of shunting inhibitory CNNs is studied.By applying the principle of compressed mapping and contributing Lyapunov function,some sufficient conditions ensuring existence,uniqueness and exponential stability of the periodic solution are obtained.Moreover an example is given to illustrate the feasibility of the conditions in our results.These conditions can be applied to design periodic stable shunting inhibitory CNNs,and easily checked in practice by simple algebraic methods.These play an important role in the design and applications of the type of CNNs.