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

Journal of Mathematical Sciences: Advances and Applications

ASYMPTOTIC STABILITY OF NONLINEAR DELAY-DIFFERENCE SYSTEM WITH MULTIPLE DELAYS VIA MATRIX INEQUALITIES

Author's: Kreangkri Ratchagit
Pages: [41] - [50]
Received Date: June 4, 2009
Submitted by:

Abstract

In this paper, we obtain some criteria for determining the asymptotic stability of the zero solution of nonlinear delay-difference system with multiple delays in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method.

Keywords

asymptotic stability, Lyapunov function, nonlinear delay-difference system with multiple delays, matrix inequalities.