TITLE:
Parametric Stabilization of the Ring and Linear Neural Network with Two Delays
AUTHORS:
Dongxia Zhao, Dongxia Fan, Yaping Guo
KEYWORDS:
Neural Network, Time Delay, Exponential Polynomial, Linear and Ring Neural Configuration, Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.7,
July
13,
2021
ABSTRACT: 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.