分布时滞模糊BAM神经网络模型的指数稳定性

Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays

详细介绍了一类具分布时滞的模糊BAM(Bi-direction Associate Memory)神经网络模型.在合适的条件下,通过数学分析技巧和压缩映像原理,证明了模型平衡点的存在唯一性;通过构造Liapunov泛函,利用Lipschitz激励函数性质,获得了平衡点的指数稳定性.

A class of fuzzy bi-direction associate memory （BAM） neural network models with distributed delays is introduced. Under suitable conditions, the existence and uniqueness of positive equilibrium are obtained by using analysis techniques and contraction mapping principles. The exponential stability of positive equilibrium is established by constructing Lyapunov funetionals and using properties of Lipschitzian activation functions.