Exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks
Wenlin Jiang, Liangliang Li, Zhengwen Tu, Yuming Feng · International Journal of Systems Science · 2018
This paper focuses on the problem of exponential stability in the sense of Lagrange for impulses in discrete-time delayed recurrent neural networks. By establishing a delayed impulsive discrete inequality and a novel difference inequality, combining with inequality techniques, some novel sufficient conditions are obtained to ensure exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks. Meanwhile, exponentially convergent scope of neural network is given. Finally, several numerical simulations are given to demonstrate the effectiveness of our results.