Title :
A comment on “Comments on `Necessary and sufficient condition for absolute stability of neural networks´”
Author :
Arik, Sabri ; Tavsanoglu, Vedat
Author_Institution :
Dept. of Electron., Istanbul Univ., Turkey
fDate :
5/1/1998 12:00:00 AM
Abstract :
This letter points out that a new majorization of the derivative of the Lyapunov function used in the above letter [see ibid., vol.42, p.497-9, 1995] gives a new, weaker condition on the interconnection matrix that is sufficient for the global asymptotic stability (GAS) of the equilibrium point for dynamical neural networks. The result also includes some earlier results derived in the literature
Keywords :
absolute stability; asymptotic stability; neural nets; Lyapunov function; absolute stability; equilibrium point; global asymptotic stability; interconnection matrix; majorization; neural networks; Asymptotic stability; Circuits; Eigenvalues and eigenfunctions; Lyapunov method; Neural networks; Sufficient conditions; Symmetric matrices;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
