Title :
Comments on "Necessary and sufficient condition for absolute stability of neural networks"
Author :
Kaszkurewicz, Eugenius ; Bhaya, Amit
Author_Institution :
Dept. of Electr. Eng., Univ. Federal do Rio de Janeiro, Brazil
Abstract :
This letter points out that a Liapunov function used by the present authors in an earlier publication on absolute and structural stability of neural circuits easily proves a stronger version of the sufficient part of the result contained in the paper by Forti, Manetti and Marini (1994) as well as in a subsequent publication. Comments are made on the set of interconnection matrices that determine necessary and sufficient conditions for absolute stability of the class of neural circuits considered and as a consequence a conjecture is formulated.<>
Keywords :
Lyapunov matrix equations; absolute stability; circuit stability; neural nets; Liapunov function; absolute stability; interconnection matrices; neural circuits; neural networks; structural stability; Bifurcation; Chaotic communication; Circuit stability; Combinatorial mathematics; Coupling circuits; Eigenvalues and eigenfunctions; Graph theory; Linear matrix inequalities; Neural networks; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
