机构地区: 湖南大学电气与信息工程学院
出 处: 《湖南大学学报(自然科学版)》 2009年第10期45-49,共5页
摘 要: 针对一个带自反馈的多时滞N元环状非线性神经网络系统,首先得到系统在平凡解处的线性化性系统,并借助空间分解的方法得到了N阶特征矩阵对应的特征方程的1阶因式分解.进而,通过构造函数和分析技巧成功地分析特征方程的每个1阶因式的根的实部情况,并在整个参数空间中分区域系统完整地讨论了系统平凡解稳定与不稳定的条件,最终通过数字仿真验证了分析结果. A system of ring neural network with self--feedback and multiple delays was taken into account. Firstly, we obtained the tinearization of this system at the trivial solution and all 1-order factors of the corresponding N-order characteristic equation by using the method of space-decomposition. Then, we constructed some functions to investigate the real part values of all 1-order factors of the characteristic equation. Furthermore, we represented the complete conditions for the stability and instability of the trivial solution of this system in a parameter space.