Volume no :4, Issue no: 1, January 2010

Journal of Mathematical Sciences: Advances and Applications

ASYMPTOTIC STABILITY OF DELAY-DIFFERENCE SYSTEM WITH MULTIPLE DELAYS OF CELLULAR NEURAL NETWORKS VIA MATRIX INEQUALITIES

Author's: Kreangkri Ratchagit
Pages: [27] - [39]
Received Date: June 4, 2009
Submitted by:

Abstract

In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference system with multiple delays of cellular neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method.

Keywords

asymptotic stability, delay-difference system with multiple delays, cellular neural networks, Lyapunov function, matrix inequalities.