具变和分布时滞的神经网络系统的指数稳定性

Exponential Stability of the Neural Networks with Variable and Distribution Delays

基于泛函微分方程的稳定性理论,通过构造Lyapunov泛函和利用不等式pan-1b≤(p-1)ap+bp(这里p为正整数,a,b为非负实数),对一类含具变和分布时滞的系统的指数稳定性问题进行探讨,并列举了一个例子验证了定理结论的正确性.

Based on the stability theory of functional differential equations, the exponential stability of the systems with both variable and distributed delays was discussed through constructing the Lyapunov functions and applying the inequality pa^p-1b ≤ （p - 1 ）a^p ＋ b^p , where p denotes a positive integer; a and b are nonnegative real numbers.