Kreangkri Ratchagit

pp. 103 - 108

Abstract

In this paper, we obtain some criteria for determining the asymptotic stability of the zero solution of time-varying
delay-difference system of cellular neural networks in terms of certain matrix inequalities by using a discrete version of the
Lyapunov second method. The result is applied to obtain new stability conditions for some classes of time-varying delaydifference equations such as time-varying delay-difference system of cellular neural networks with multiple delays in terms
of certain matrix inequalities. Our results can be well suited for computational purposes. 

Keywords

• asymptotic stability
• cellular neural networks
• Lyapunov function
• time-varying delay-difference system
• matrix inequalities