The Stability of Linear Discrete Time Delay Systems over a Finite Time Interval: An Overview

Dragutin Debeljković
Sreten Stojanović

This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov–like functions. The practical and attractive practical stability for discrete time delay systems has been investigated. The above mentioned approach was supported by the classical Lyapunov technique to guarantee the attractivity properties of the system behavior.

Key words: linear systems, discrete systems, system stability, time delay system, finite time stability system, Non-Lyapunov stability.