Title :
On the stability of a Tank and Hopfield type neural network in the general case of complex eigenvalues
Author_Institution :
Dept. of Eng. Math. & Phys., Cairo Univ., Fayoum, Egypt
fDate :
1/1/2000 12:00:00 AM
Abstract :
The stability of a Tank and Hopfield-type neural network is investigated for the general case of practically encountered complex eigenvalues sD of the matrix product DgT Df, where Dg and Df are approximations of the connection matrix D on the signal and constraint sides of the neural net, respectively. A stability criterion in the form of an analytic expression is derived, thus generalizing the results obtained by Yan (1991) for the special case of purely real eigenvalues
Keywords :
Hopfield neural nets; eigenvalues and eigenfunctions; matrix algebra; stability; Tank and Hopfield type neural network; complex eigenvalues; connection matrix; stability criterion; Circuit stability; Computer aided software engineering; DH-HEMTs; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Hopfield neural networks; Intelligent networks; Neural networks; Operational amplifiers; Stability criteria;
Journal_Title :
Signal Processing, IEEE Transactions on
