Almost periodic solutions for a memristor-based neural networks with leakage, time-varying and distributed delays

作者：Jiang, Ping; Zeng, Zhigang^*; Chen, Jiejie

来源：Neural Networks, 2015, 68: 34-45.

DOI：10.1016/j.neunet.2015.04.005

• Memristor-based neural networks
• Almost periodic solution
• Global exponential stability
• Leakage
• Time-varying and distributed delays

In this paper, we study the existence and global exponential stability of almost periodic solution for memristor-based neural networks with leakage, time-varying and distributed delays. Using a new Lyapunov function method, we prove that this delayed neural network has a unique almost periodic solution, which is globally exponentially stable. Moreover, the obtained conclusion on the almost periodic solution is applied to prove the existence and stability of periodic solution (or equilibrium point) for this delayed neural network with periodic coefficients (or constant coefficients).

• 出版日期2015-8
• 单位湖北理工学院; 华中科技大学