具有变时滞双向循环关联神经网络的指数稳定性研究

Research on the Exponential Stability of Bi-directional Association Neural Networks with Variable Delays

研究了一类具有变时滞的双向循环关联神经网络系统.利用压缩映射原理,讨论了平衡点的存在唯一性;通过构造Lyapunov函数和Halany不等式分析,研究了该系统的指数稳定性,最后通过数值模拟验证了结果.

In this paper, we discuss abi-directional association neural networks w ith variable delays. By using contraction mapping principle , the existence and uniqueness of equilibrium po in t are discussed. By constructing Lyapunov function and Halany inequa ity , the exponential stability of the system is investigated. A new model is discussed and numerical simulat ion is verifeied by the results.