A new result on stability analysis for discrete system with interval time-varying delays

Abstract

Abstract This paper is concerned with the stability criteria for a discrete-time linear system with interval time-varying delays. By using the time delay division we construct an augmented Lyapunov–Krasovskii functional for two delay subintervals. Moreover, we use a new summation inequality to estimate the derivatives of LKFs more accurately and derive less conservative criteria. Finally, we present two numerical examples to demonstrate that the obtained results are less conservative.

Keywords

• Discrete system
• Stability
• Lyapunov–Krasovskii functional
• Interval time-varying delay