Title of article
Existence and stability of equilibria of the continuous-time Hopfield neural network
Author/Authors
Chen، نويسنده , , Shihua and Zhang، نويسنده , , Qin and Wang، نويسنده , , Changping، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
9
From page
117
To page
125
Abstract
The qualitative properties of the continuous-time Hopfield neural network are investigated. By using the Cauchy existence theorem of ordinary differential equations, a set of new and simple sufficient conditions guaranteeing the existence and uniqueness of equilibrium is derived. Furthermore, global and asymptotical stability conditions are established by means of Lyapunov method.
Keywords
Hopfield Neural Network , Existence and uniqueness of equilibrium , Global and asymptotical stability
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552640
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