具漏泄时滞的细胞神经网络多周期性分析  

Multiperiodicity analysis of cellular neural networks with leakage time lags

作　　者：楼旭阳[1] 崔宝同[1] 吴炜[1] 

机构地区：[1]江南大学通信与控制工程学院,江苏无锡214122

出　　处：《控制与决策》2008年第7期767-770,775,共5页Control and Decision

基　　金：国家自然科学基金项目(60674026);教育部科学技术研究重点项目(107058);江苏省自然科学基金项目(BK2007016)

摘　　要：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2n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.

关 键 词：细胞神经网络 漏泄时滞 多周期性 局部指数收敛 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]