摘要
考虑多比例时滞杂交双向联想记忆神经网络的全局指数稳定性.应用Brouwer不动点定理证明了多比例时滞杂交双向联想记忆神经网络平衡点的存在性,再通过构造合适的Lyapunov泛函,获得了该系统平衡点全局指数稳定的时滞依赖的充分条件,该条件蕴含系统平衡点的唯一性,并给出了一个例子说明结论的有效性.
The global exponential stability of hybrid bi-directional associative memory （BAM） neural networks with multi-pantograph delays is studied. By using Brouwer fixed point theorem, the existence of equilibrium point of this system is proved. And a delay-dependent sufficient condition is derived for the global exponential stability of this system based on the construction of suitable Lyapunov functional. This condition implies the uniqueness of equilibri-um point of this system. And an example is uiven to illustrate the effectiveness of the results.
出处
《天津师范大学学报（自然科学版）》
CAS
2012年第3期18-23,共6页
Journal of Tianjin Normal University：Natural Science Edition
