Title :
On the stability analysis of cellular neural networks
Author :
Savaci, F.A. ; Vandewalle, J.
Author_Institution :
Dept. of Electr. and Electron. Eng., Istanbul Tech. Univ., Turkey
fDate :
3/1/1993 12:00:00 AM
Abstract :
Introduces the eigenvalue formulas for cellular neural network (CNNs) with positive-cell linking and opposite-sign-type templates by exploiting the Toeplitz-tridiagonal structure of the state matrix and then gives the convergency conditions for such CNNs. The existence conditions of equilibrium points for a more general type of piecewise-linear neural network have also been investigated
Keywords :
eigenvalues and eigenfunctions; neural nets; stability; Toeplitz-tridiagonal structure; cellular neural networks; convergency conditions; eigenvalue formulas; equilibrium points; opposite-sign-type templates; piecewise-linear neural network; positive-cell linking; stability analysis; state matrix; Cellular neural networks; Eigenvalues and eigenfunctions; Joining processes; LAN interconnection; Neural networks; Piecewise linear techniques; Stability analysis; Sufficient conditions; Symmetric matrices;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
