Delay-dependent stability analysis for discrete-time systems with time varying state delay

Abstract

The stability of discrete systems with time-varying delay is considered. Some sufficient delaydependent stability conditions are derived using an appropriate model transformation of the original system. The criteria are presented in the form of LMI, which are dependent on the minimum and maximum delay bounds. It is shown that the stability criteria are approximately the same conservative as the existing ones, but have much simpler mathematical form. The numerical example is presented to illustrate the applicability of the developed results.

Keywords

• time-delay systems
• interval time-varying delay
• asymptotic stability
• delay-dependent stability
• Lyapunov method