Title :
Qualitative analysis and synthesis of a class of neural networks
Author :
Li, Jian Hua ; Michel, Anthony N. ; Porod, Wolfgang
Author_Institution :
Dept. of Electr. & Comput. Eng., Notre Dame Univ., IN, USA
fDate :
8/1/1988 12:00:00 AM
Abstract :
The dynamic properties of a class of neural networks (which includes the Hopfield model as a special case) are investigated by studying the qualitative behavior of equilibrium points. The results fall into one of two categories: results pertaining to analysis (e.g., stability properties of an equilibrium, asymptotic behavior of solutions, etc.) and results pertaining to synthesis (e.g. the design of a neural network with prespecified equilibrium points which are asymptotically stable). Most (but not all) of the results presented are global, and their applicability is demonstrated by an example
Keywords :
differential equations; neural nets; stability criteria; Hopfield model; analysis; dynamic properties; equilibrium points; neural networks; qualitative behavior; stability properties; synthesis; Asymptotic stability; Differential equations; Ear; Hopfield neural networks; Network synthesis; Neural networks; Stability analysis; Upper bound;
Journal_Title :
Circuits and Systems, IEEE Transactions on
