%0 Journal Article %T Parametric Stabilization of the Ring and Linear Neural Network with Two Delays %A Dongxia Zhao %A Dongxia Fan %A Yaping Guo %J Journal of Applied Mathematics and Physics %P 1468-1482 %@ 2327-4379 %D 2021 %I Scientific Research Publishing %R 10.4236/jamp.2021.97099 %X 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. %K Neural Network %K Time Delay %K Exponential Polynomial %K Linear and Ring Neural Configuration %K Stability %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=110499