A comment on "Comments on 'Necessary and sufficient condition for absolute stability of neural networks'"


Arik S. , Tavsanoglu V.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, vol.45, no.5, pp.595-596, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 5
  • Publication Date: 1998
  • Doi Number: 10.1109/81.668877
  • Title of Journal : IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
  • Page Numbers: pp.595-596

Abstract

This letter points out that a new majorization of the derivative of the Lyapunov function used in the above letter, (1)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.