Author(s)

Dongxia Zhao¹, Dongxia Fan¹, Yaping Guo²

¹School of Mathematics, North University of China, Taiyuan, China.
²School of Mathematics, Shanxi University, Taiyuan, China.

This paper is devoted to the problem of stabilizing a Hopfield-type neural network with bi-directional ring architecture and two delays. The delay-independent and delay-dependent stability conditions are explicitly presented by the method of the characteristic roots and the skill of mathematical analysis. Moreover, if a link between the adjacent two neurons is cut, the ring neural network turns to a linear one, and the stability results are also established. Furthermore, a comparative analysis for the ring and linear network shows that the stability domain is enlarged after the breaking.

Neural Network, Time Delay, Exponential Polynomial, Linear and Ring Neural Configuration, Stability

Zhao, D. , Fan, D. and Guo, Y. (2021) Parametric Stabilization of the Ring and Linear Neural Network with Two Delays. Journal of Applied Mathematics and Physics, 9, 1468-1482. doi: 10.4236/jamp.2021.97099.