Simple stability conditions of linear discrete time systems with multiple delay

Abstract

In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems with multiple delays are derived in the shape of Lyapunov inequality. Numerical examples are presented to demonstrate the applicability of the present approach.

Keywords

• discrete time-delay systems
• Lyapunov-Krasovskii method
• Delay-independent stability
• Liner matrix inequality