S-型分布时滞中立型神经网络稳定性

Stability of Neutral Neural Networks with S-Type Distributed Delays

本文研究了一类具有S-型分布时滞的中立型神经网络的全局渐近稳定性问题。首先利用同胚映射理论证明系统平衡点的存在唯一性。然后构造Lyapunov-Krasovskii泛函,利用不等式方法得到新的稳定性代数判据。最后,通过两个数值例子并运用MATLAB仿真验证了新判据的有效性。

In this paper, the global asymptotic stability of a class of neutral neural networks with S-type distributed delays is studied. Firstly, the existence and uniqueness of the equilibrium point of the system are proved by using the homeomorphic mapping theory. Secondly, by constructing an appropriate Lyapunov-Krasovskii functional and using the inequality method, a new algebraic criterion of stability is obtained. Finally, the effectiveness of the new criterion is proved by two numerical examples and MATLAB simulation.