针对一类具有漏泄时滞细胞神经网络模型,首先给出该类网络的周期环在饱和区局部指数收敛的充分条件.研究表明,一个n维网络可以有2^n个周期环存在于饱和区,并且这些周期环是局部指数收敛的.然后,研究了该时滞细胞神经网络指数周期的一个特殊情形——指数稳定.数值例子和仿真结果验证了所得结果的有效性.
For a class of cellular neural networks with leakage time lags,a sufficient condition for guaranteeing periodie orbits of this kind of networks to be locally exponentially attractive in saturation regions is derived. The results show that an n-dimension neural network can have 2^n periodic orbits located in saturation regions and these periodic orbits are locally exponentially attractive. Moreover,as a special case of exponential periodicity,the exponential stability of the cellular neural network is also characterized. A numerical example and its simulation results show the effectiveness of the obtained results.