On the asymptotic stability of linear discrete time-delay systems: The Lyapunov approach

Abstract

New conditions for the stability of discrete delay systems of the form x (k+1) = Arjx (k) + Aix (k-h) are presented in the paper. These new delay-independent conditions were derived using an approach based on the second Lyapunov's method. These results are less conservative than some in the existing literature. A numerical example was worked out to show the applicability of the derived results.

Keywords

• linear discrete time-delay systems
• asymptotic stability
• sufficient delay-indepen­dent conditions